f05cb814c20a47676d93b880b2afd45b De_la_Sen_2021_Phys._Scr._96_095002.pdf 164485ed2a50e1224588625a0d2d2f36da42485e De_la_Sen_2021_Phys._Scr._96_095002.pdf b03bfc09f09e080f4d711d99bbb90e47e91ba3e3092d2d2deedf4ceac5702d81 De_la_Sen_2021_Phys._Scr._96_095002.pdf Title: On a new SEIRDEoIo epidemic model eventually initiated from outside with delayed re-susceptibility and vaccination and treatment feedback controls Subject: Physica Scripta, 96(2021) 095002. doi:10.1088/1402-4896/ac018c Keywords: epidemic model; SEIR epidemic model; SEIRDEoIo epidemic model; non-resident infectious; equilibrium points; COVID-19; epidemic model Author: Manuel De la Sen Creator: IOPP Producer: iText® 5.5.13.3 ©2000-2022 iText Group NV (IOP Publishing Ltd; licensed version) CreationDate: Thu Jun 10 08:18:34 2021 CEST ModDate: Thu Oct 16 10:30:21 2025 CEST Custom Metadata: yes Metadata Stream: yes Tagged: no UserProperties: no Suspects: no Form: AcroForm JavaScript: no Pages: 36 Encrypted: no Page size: 595 x 842 pts (A4) Page rot: 0 File size: 2277757 bytes Optimized: no PDF version: 1.7 name type encoding emb sub uni object ID ------------------------------------ ----------------- ---------------- --- --- --- --------- Helvetica Type 1 WinAnsi no no no 14 0 Helvetica-Bold Type 1 WinAnsi no no no 15 0 VUCJIX+ArialUnicodeMS CID TrueType Identity-H yes yes yes 16 0 IIKGNB+STIXGeneral-Regular Type 1C Custom yes yes yes 164 0 IIKGHP+AdvOT1c7f35a8.I Type 1C WinAnsi yes yes no 917 0 IIKGHN+AdvOTb49d9406 Type 1C WinAnsi yes yes no 918 0 IIKGEM+AdvOT77db9845 Type 1C WinAnsi yes yes no 77 0 IIKGMB+Minion-Italic Type 1C WinAnsi yes yes no 78 0 IIKGPD+AdvOT8608a8d1 Type 1C WinAnsi yes yes no 121 0 IIKGEN+AdvTT25d87263 Type 1C WinAnsi yes yes no 122 0 IIKHAD+AdvOT77db9845+20 Type 1C WinAnsi yes yes no 123 0 IIKGDK+AdvOT255b5711.I Type 1C WinAnsi yes yes no 81 0 IIKGEL+AdvOTb0c9bf5d Type 1C WinAnsi yes yes no 82 0 IIKGHO+AdvOTf5828f90 Type 1C WinAnsi yes yes no 919 0 IIKGIB+AdvOT8608a8d1+22 Type 1C Custom yes yes yes 920 0 IIKGIA+AdvOT5e4d79fc Type 1C WinAnsi yes yes no 921 0 IIKGPC+AdvOT77db9845+fb Type 1C Custom yes yes yes 84 0 IIKGEK+AdvOT3bbb1fa6.B Type 1C WinAnsi yes yes no 85 0 IIKHIB+AdvTT8f3612e7+f0 Type 1C Custom yes yes yes 151 0 IIKIDA+Minion-Regular Type 1C WinAnsi yes yes no 80 0 IIKJAN+Minion-BoldItalic Type 1C WinAnsi yes yes no 264 0 IIKIBO+EuclidSymbol-Italic CID TrueType Identity-H yes yes yes 251 0 IIKIEB+EuclidExtra CID TrueType Identity-H yes yes yes 193 0 IIKJOJ+EuclidMathTwo CID TrueType Identity-H yes yes yes 173 0 IIKLLA+EuclidFraktur TrueType WinAnsi yes yes no 79 0 IIKICP+EuclidSymbol CID TrueType Identity-H yes yes yes 83 0 IIKMIL+Minion-Bold Type 1C WinAnsi yes yes no 303 0 IIKNJG+AdvOT255b5711.I+20 Type 1C WinAnsi yes yes no 287 0 IILEIO+AdvOT255b5711.I+fb Type 1C Custom yes yes yes 313 0 IILBCB+STIXTwoMath Type 1C Custom yes yes yes 341 0 IILCJJ+AdvTT8f3612e7 Type 1C WinAnsi yes yes no 334 0 IILKGL+AdvTT691e30a0 Type 1C WinAnsi yes yes no 358 0 IIMICI+AdvOT8e84d3f8.BI Type 1C WinAnsi yes yes no 374 0 IIMJHC+AdvTTab7e17fd Type 1C WinAnsi yes yes no 199 0 IIMJGB+AdvTTab7e17fd+22 Type 1C Custom yes yes no 390 0 IINLKD+AdvTTec1d2308.I Type 1C WinAnsi yes yes no 268 0 Jhove (Rel. 1.28.0, 2023-05-18) Date: 2025-10-18 03:59:58 CEST RepresentationInformation: De_la_Sen_2021_Phys._Scr._96_095002.pdf ReportingModule: PDF-hul, Rel. 1.12.4 (2023-03-16) LastModified: 2025-10-17 04:45:42 CEST Size: 2277757 Format: PDF Version: 1.7 Status: Well-Formed and valid SignatureMatches: PDF-hul MIMEtype: application/pdf PDFMetadata: Objects: 1032 FreeObjects: 1 IncrementalUpdates: 0 DocumentCatalog: PageLayout: SinglePage PageMode: UseOutlines Outlines: Item: Title: 1. Introduction Destination: A1 Item: Title: 2. The generalized SEIR epidemic model Destination: A2 Item: Title: 3. Positivity, boundedness and global stability properties of the solution Destination: A3 Item: Title: 4. Disease- free equilibrium point, basic reproduction number and local asymptotic stability Destination: A4 Item: Title: 5. Further global stability properties considering the existence of endemic equilibrium point Destination: A5 Item: Title: 6. Simulation results Destination: A6 Children: Item: Title: 6.1. Example 1:Varicella Outbreak in a city of China Destination: B1 Item: Title: 6.2. Example 2: Case of COVID-19 Destination: B2 Item: Title: 7. Conclusions Destination: A7 Item: Title: Acknowledgments Destination: A8 Item: Title: Data availability statement Destination: A9 Item: Title: Competing interest Destination: A10 Item: Title: Funding Destination: A11 Item: Title: Appendix A. Destination: A12 Item: Title: Appendix B. Destination: A13 Item: Title: Appendix C. Destination: A14 Item: Title: References Destination: A15 Info: Title: On a new SEIRDEoIo epidemic model eventually initiated from outside with delayed re-susceptibility and vaccination and treatment feedback controls Author: Manuel De la Sen Subject: Physica Scripta, 96(2021) 095002. doi:10.1088/1402-4896/ac018c Keywords: epidemic model; SEIR epidemic model; SEIRDEoIo epidemic model; non-resident infectious; equilibrium points; COVID-19; epidemic model Creator: IOPP Producer: iText® 5.5.13.3 ©2000-2022 iText Group NV (IOP Publishing Ltd; licensed version) CreationDate: Thu Jun 10 08:48:34 CEST 2021 ModDate: Thu Oct 16 10:30:21 CEST 2025 ID: 0x039fabd6a54506341b855e5fbc1fde3a, 0x2f33d53248568fc4b44f5c74e16724c9 Filters: FilterPipeline: FlateDecode FilterPipeline: DCTDecode Images: Image: NisoImageMetadata: FormatName: image/jpg CompressionScheme: JPEG ImageWidth: 155 ImageHeight: 57 ColorSpace: CMYK BitsPerSample: 8 BitsPerSampleUnit: integer Image: NisoImageMetadata: FormatName: image/jpg CompressionScheme: JPEG ImageWidth: 680 ImageHeight: 536 ColorSpace: RGB BitsPerSample: 8 BitsPerSampleUnit: integer Image: NisoImageMetadata: FormatName: image/jpg CompressionScheme: JPEG ImageWidth: 1000 ImageHeight: 791 ColorSpace: RGB BitsPerSample: 8 BitsPerSampleUnit: integer Image: NisoImageMetadata: FormatName: image/jpg CompressionScheme: JPEG ImageWidth: 1000 ImageHeight: 794 ColorSpace: RGB BitsPerSample: 8 BitsPerSampleUnit: integer Fonts: Type0: Font: BaseFont: IIKIEB+EuclidExtra Encoding: Identity-H ToUnicode: true Font: BaseFont: IIKICP+EuclidSymbol Encoding: Identity-H ToUnicode: true Font: BaseFont: IIKIBO+EuclidSymbol-Italic Encoding: Identity-H ToUnicode: true Font: BaseFont: IIKJOJ+EuclidMathTwo Encoding: Identity-H ToUnicode: true Type1: Font: BaseFont: IIMJGB+AdvTTab7e17fd+22 FontSubset: true FirstChar: 21 LastChar: 21 FontDescriptor: FontName: IIMJGB+AdvTTab7e17fd+22 Flags: Nonsymbolic FontBBox: -156, -218, 937, 947 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: IIMJHC+AdvTTab7e17fd FontSubset: true FirstChar: 43 LastChar: 61 FontDescriptor: FontName: IIMJHC+AdvTTab7e17fd Flags: Nonsymbolic FontBBox: -156, -250, 1072, 947 FontFile3: true Encoding: WinAnsiEncoding Font: BaseFont: IIKJAN+Minion-BoldItalic FontSubset: true FirstChar: 82 LastChar: 86 FontDescriptor: FontName: IIKJAN+Minion-BoldItalic Flags: Serif, Nonsymbolic, Italic, ForceBold FontBBox: -189, -250, 1148, 821 FontFile3: true Encoding: WinAnsiEncoding Font: BaseFont: IINLKD+AdvTTec1d2308.I FontSubset: true FirstChar: 43 LastChar: 61 FontDescriptor: FontName: IINLKD+AdvTTec1d2308.I Flags: Nonsymbolic FontBBox: -156, -270, 1145, 947 FontFile3: true Encoding: WinAnsiEncoding Font: BaseFont: IIKGEM+AdvOT77db9845 FontSubset: true FirstChar: 37 LastChar: 246 FontDescriptor: FontName: IIKGEM+AdvOT77db9845 Flags: Serif, Nonsymbolic FontBBox: -41, -250, 937, 802 FontFile3: true Encoding: WinAnsiEncoding Font: BaseFont: IIKGMB+Minion-Italic FontSubset: true FirstChar: 65 LastChar: 121 FontDescriptor: FontName: IIKGMB+Minion-Italic Flags: Serif, Nonsymbolic, Italic FontBBox: -139, -250, 1101, 812 FontFile3: true Encoding: WinAnsiEncoding Font: BaseFont: IILCJJ+AdvTT8f3612e7 FontSubset: true FirstChar: 44 LastChar: 44 FontDescriptor: FontName: IILCJJ+AdvTT8f3612e7 Flags: Nonsymbolic FontBBox: -41, -250, 1322, 854 FontFile3: true Encoding: WinAnsiEncoding Font: BaseFont: IIKIDA+Minion-Regular FontSubset: true FirstChar: 44 LastChar: 120 FontDescriptor: FontName: IIKIDA+Minion-Regular Flags: Serif, Nonsymbolic FontBBox: -141, -250, 1104, 812 FontFile3: true Encoding: WinAnsiEncoding Font: BaseFont: IIKGDK+AdvOT255b5711.I FontSubset: true FirstChar: 38 LastChar: 122 FontDescriptor: FontName: IIKGDK+AdvOT255b5711.I Flags: Nonsymbolic FontBBox: -93, -250, 989, 802 FontFile3: true Encoding: WinAnsiEncoding Font: BaseFont: IIKGEL+AdvOTb0c9bf5d FontSubset: true FirstChar: 40 LastChar: 41 FontDescriptor: FontName: IIKGEL+AdvOTb0c9bf5d Flags: Nonsymbolic FontBBox: -62, -208, 927, 958 FontFile3: true Encoding: WinAnsiEncoding Font: BaseFont: IIKGPC+AdvOT77db9845+fb FontSubset: true FirstChar: 1 LastChar: 3 FontDescriptor: FontName: IIKGPC+AdvOT77db9845+fb Flags: Symbolic FontBBox: 19, 0, 531, 708 FontFile3: true EncodingDictionary: Differences: true ToUnicode: true Font: BaseFont: IIKGEK+AdvOT3bbb1fa6.B FontSubset: true FirstChar: 44 LastChar: 122 FontDescriptor: FontName: IIKGEK+AdvOT3bbb1fa6.B Flags: Serif, Nonsymbolic FontBBox: -20, -250, 958, 822 FontFile3: true Encoding: WinAnsiEncoding Font: BaseFont: IIKGHP+AdvOT1c7f35a8.I FontSubset: true FirstChar: 68 LastChar: 111 FontDescriptor: FontName: IIKGHP+AdvOT1c7f35a8.I Flags: Nonsymbolic FontBBox: -114, -250, 875, 885 FontFile3: true Encoding: WinAnsiEncoding Font: BaseFont: IILBCB+STIXTwoMath FontSubset: true FirstChar: 2 LastChar: 17 FontDescriptor: FontName: IILBCB+STIXTwoMath Flags: Serif, Symbolic FontBBox: 39, -1, 576, 1946 FontFile3: true EncodingDictionary: Differences: true ToUnicode: true Font: BaseFont: IIKGHN+AdvOTb49d9406 FontSubset: true FirstChar: 65 LastChar: 86 FontDescriptor: FontName: IIKGHN+AdvOTb49d9406 Flags: Nonsymbolic FontBBox: -72, -250, 770, 895 FontFile3: true Encoding: WinAnsiEncoding Font: BaseFont: IIKGHO+AdvOTf5828f90 FontSubset: true FirstChar: 45 LastChar: 121 FontDescriptor: FontName: IIKGHO+AdvOTf5828f90 Flags: Nonsymbolic FontBBox: -52, -250, 739, 885 FontFile3: true Encoding: WinAnsiEncoding Font: BaseFont: IIKHIB+AdvTT8f3612e7+f0 FontSubset: true FirstChar: 1 LastChar: 1 FontDescriptor: FontName: IIKHIB+AdvTT8f3612e7+f0 Flags: Symbolic FontBBox: -41, -250, 1322, 854 FontFile3: true EncodingDictionary: Differences: true ToUnicode: true Font: BaseFont: IIKGIB+AdvOT8608a8d1+22 FontSubset: true FirstChar: 1 LastChar: 1 FontDescriptor: FontName: IIKGIB+AdvOT8608a8d1+22 Flags: Symbolic FontBBox: 0, -322, 1218, 968 FontFile3: true EncodingDictionary: Differences: true ToUnicode: true Font: BaseFont: IIKGIA+AdvOT5e4d79fc FontSubset: true FirstChar: 44 LastChar: 117 FontDescriptor: FontName: IIKGIA+AdvOT5e4d79fc Flags: Serif, Nonsymbolic FontBBox: -20, -250, 958, 854 FontFile3: true Encoding: WinAnsiEncoding Font: BaseFont: IIKNJG+AdvOT255b5711.I+20 FontSubset: true FirstChar: 150 LastChar: 150 FontDescriptor: FontName: IIKNJG+AdvOT255b5711.I+20 Flags: Nonsymbolic FontBBox: -135, -135, 1104, 708 FontFile3: true Encoding: WinAnsiEncoding Font: BaseFont: IIKGNB+STIXGeneral-Regular FontSubset: true FirstChar: 2 LastChar: 175 FontDescriptor: FontName: IIKGNB+STIXGeneral-Regular Flags: Serif, Symbolic FontBBox: -995, -455, 2000, 1055 FontFile3: true EncodingDictionary: Differences: true ToUnicode: true Font: BaseFont: IILKGL+AdvTT691e30a0 FontSubset: true FirstChar: 215 LastChar: 215 FontDescriptor: FontName: IILKGL+AdvTT691e30a0 Flags: Nonsymbolic FontBBox: -31, -250, 1020, 895 FontFile3: true Encoding: WinAnsiEncoding Font: BaseFont: IIKMIL+Minion-Bold FontSubset: true FirstChar: 67 LastChar: 82 FontDescriptor: FontName: IIKMIL+Minion-Bold Flags: Serif, Nonsymbolic, ForceBold FontBBox: -148, -250, 1147, 830 FontFile3: true Encoding: WinAnsiEncoding Font: BaseFont: IIMICI+AdvOT8e84d3f8.BI FontSubset: true FirstChar: 67 LastChar: 68 FontDescriptor: FontName: IIMICI+AdvOT8e84d3f8.BI Flags: Nonsymbolic FontBBox: -93, -250, 1020, 812 FontFile3: true Encoding: WinAnsiEncoding Font: BaseFont: IIKGPD+AdvOT8608a8d1 FontSubset: true FirstChar: 91 LastChar: 93 FontDescriptor: FontName: IIKGPD+AdvOT8608a8d1 Flags: Nonsymbolic FontBBox: -62, -208, 927, 958 FontFile3: true Encoding: WinAnsiEncoding Font: BaseFont: IILEIO+AdvOT255b5711.I+fb FontSubset: true FirstChar: 1 LastChar: 1 FontDescriptor: FontName: IILEIO+AdvOT255b5711.I+fb Flags: Symbolic FontBBox: -93, -239, 531, 708 FontFile3: true EncodingDictionary: Differences: true ToUnicode: true Font: BaseFont: IIKGEN+AdvTT25d87263 FontSubset: true FirstChar: 47 LastChar: 47 FontDescriptor: FontName: IIKGEN+AdvTT25d87263 Flags: Nonsymbolic FontBBox: -20, -250, 1052, 750 FontFile3: true Encoding: WinAnsiEncoding Font: BaseFont: IIKHAD+AdvOT77db9845+20 FontSubset: true FirstChar: 145 LastChar: 150 FontDescriptor: FontName: IIKHAD+AdvOT77db9845+20 Flags: Nonsymbolic FontBBox: -135, -135, 1093, 708 FontFile3: true Encoding: WinAnsiEncoding TrueType: Font: BaseFont: IIKLLA+EuclidFraktur FontSubset: true FirstChar: 47 LastChar: 47 FontDescriptor: FontName: IIKLLA+EuclidFraktur Flags: Nonsymbolic FontBBox: -26, -252, 1054, 752 FontFile2: true Encoding: WinAnsiEncoding CIDFontType2: Font: BaseFont: IIKIEB+EuclidExtra CIDSystemInfo: Registry: Adobe Registry: Identity Supplement: 0 FontDescriptor: FontName: IIKIEB+EuclidExtra Flags: Serif, Symbolic FontBBox: -126, -327, 1573, 962 FontFile2: true Font: BaseFont: IIKICP+EuclidSymbol CIDSystemInfo: Registry: Adobe Registry: Identity Supplement: 0 FontDescriptor: FontName: IIKICP+EuclidSymbol Flags: Symbolic FontBBox: -166, -252, 1083, 950 FontFile2: true Font: BaseFont: IIKIBO+EuclidSymbol-Italic CIDSystemInfo: Registry: Adobe Registry: Identity Supplement: 0 FontDescriptor: FontName: IIKIBO+EuclidSymbol-Italic Flags: Symbolic, Italic FontBBox: -166, -276, 1152, 950 FontFile2: true Font: BaseFont: IIKJOJ+EuclidMathTwo CIDSystemInfo: Registry: Adobe Registry: Identity Supplement: 0 FontDescriptor: FontName: IIKJOJ+EuclidMathTwo Flags: Serif, Symbolic FontBBox: -64, -532, 1348, 1072 FontFile2: true XMP: IOP Publishing Physica Scripta, 96(2021) 095002. doi:10.1088/1402-4896/ac018c epidemic model SEIR epidemic model SEIRDEoIo epidemic model non-resident infectious equilibrium points COVID-19 epidemic model On a new SEIRDEoIo epidemic model eventually initiated from outside with delayed re-susceptibility and vaccination and treatment feedback controls Manuel De la Sen Asier Ibeas Aitor Garrido iop.org iop.org Pages: Page: Label: 1 Annotations: Annotation: Subtype: Link Rect: 71, 581, 116, 588 Annotation: Subtype: Link Rect: 422, 700, 527, 706 Annotation: Subtype: Link Rect: 422, 692, 549, 698 Annotation: Subtype: Link Rect: 422, 684, 543, 690 Annotation: Subtype: Link Rect: 422, 676, 495, 682 Annotation: Subtype: Link Rect: 422, 652, 552, 659 Annotation: Subtype: Link Rect: 422, 644, 548, 651 Annotation: Subtype: Link Rect: 422, 636, 545, 643 Annotation: Subtype: Link Rect: 422, 605, 541, 611 Annotation: Subtype: Link Rect: 422, 597, 530, 603 Annotation: Subtype: Link Rect: 422, 589, 483, 595 Page: Label: 2 Annotations: Annotation: Subtype: Link Rect: 412, 806, 552, 814 Annotation: Subtype: Link Rect: 188, 627, 191, 635 Destination: 398 Annotation: Subtype: Link Rect: 191, 627, 196, 635 Destination: 398 Annotation: Subtype: Link Rect: 197, 623, 204, 632 Annotation: Subtype: Link Rect: 204, 623, 204, 632 Annotation: Subtype: Link Rect: 253, 627, 256, 635 Destination: 398 Annotation: Subtype: Link Rect: 257, 623, 264, 632 Annotation: Subtype: Link Rect: 264, 623, 264, 632 Annotation: Subtype: Link Rect: 340, 627, 343, 635 Destination: 398 Annotation: Subtype: Link Rect: 343, 627, 348, 635 Destination: 398 Annotation: Subtype: Link Rect: 144, 546, 226, 554 Annotation: Subtype: Link Rect: 229, 546, 295, 554 Annotation: Subtype: Link Rect: 310, 546, 383, 554 Annotation: Subtype: Link Rect: 461, 182, 466, 192 Destination: 182 Annotation: Subtype: Link Rect: 470, 182, 475, 192 Destination: 182 Annotation: Subtype: Link Rect: 513, 156, 518, 166 Destination: 182 Annotation: Subtype: Link Rect: 523, 156, 532, 166 Destination: 160 Annotation: Subtype: Link Rect: 268, 144, 273, 154 Destination: 182 Annotation: Subtype: Link Rect: 363, 144, 372, 154 Destination: 160 Annotation: Subtype: Link Rect: 377, 144, 387, 154 Destination: 160 Annotation: Subtype: Link Rect: 215, 131, 225, 141 Destination: 160 Annotation: Subtype: Link Rect: 229, 131, 238, 141 Destination: 160 Annotation: Subtype: Link Rect: 528, 80, 533, 90 Destination: 182 Annotation: Subtype: Link Rect: 41, 711, 97, 721 Annotation: Subtype: Link Rect: 97, 711, 97, 721 Annotation: Subtype: Link Rect: 84, 546, 106, 553 Annotation: Subtype: Link Rect: 42, 538, 111, 545 Annotation: Subtype: Link Rect: 42, 530, 60, 537 Thumb: true Page: Label: 3 Annotations: Annotation: Subtype: Link Rect: 276, 770, 281, 780 Destination: 182 Annotation: Subtype: Link Rect: 285, 770, 290, 780 Destination: 182 Annotation: Subtype: Link Rect: 294, 770, 303, 780 Destination: 160 Annotation: Subtype: Link Rect: 307, 770, 317, 780 Destination: 160 Annotation: Subtype: Link Rect: 321, 770, 330, 780 Destination: 160 Annotation: Subtype: Link Rect: 334, 770, 344, 780 Destination: 160 Annotation: Subtype: Link Rect: 349, 770, 358, 780 Destination: 160 Annotation: Subtype: Link Rect: 158, 745, 168, 755 Destination: 160 Annotation: Subtype: Link Rect: 173, 745, 182, 755 Destination: 160 Annotation: Subtype: Link Rect: 489, 681, 494, 691 Destination: 182 Annotation: Subtype: Link Rect: 498, 681, 507, 691 Destination: 160 Annotation: Subtype: Link Rect: 521, 580, 531, 590 Destination: 160 Annotation: Subtype: Link Rect: 535, 580, 544, 590 Destination: 160 Annotation: Subtype: Link Rect: 291, 555, 296, 565 Destination: 182 Annotation: Subtype: Link Rect: 300, 555, 305, 565 Destination: 182 Annotation: Subtype: Link Rect: 309, 555, 318, 565 Destination: 160 Annotation: Subtype: Link Rect: 322, 555, 332, 565 Destination: 160 Annotation: Subtype: Link Rect: 336, 555, 346, 565 Destination: 160 Annotation: Subtype: Link Rect: 350, 555, 359, 565 Destination: 160 Annotation: Subtype: Link Rect: 364, 555, 374, 565 Destination: 160 Annotation: Subtype: Link Rect: 276, 479, 280, 489 Destination: 182 Annotation: Subtype: Link Rect: 285, 479, 290, 489 Destination: 182 Annotation: Subtype: Link Rect: 183, 213, 193, 223 Destination: 160 Annotation: Subtype: Link Rect: 373, 175, 383, 185 Destination: 160 Annotation: Subtype: Link Rect: 274, 149, 283, 159 Destination: 160 Annotation: Subtype: Link Rect: 382, 124, 391, 134 Destination: 160 Annotation: Subtype: Link Rect: 147, 73, 157, 83 Destination: 160 Thumb: true Page: Label: 4 Annotations: Annotation: Subtype: Link Rect: 147, 770, 157, 780 Destination: 160 Annotation: Subtype: Link Rect: 147, 720, 157, 730 Destination: 160 Annotation: Subtype: Link Rect: 170, 694, 180, 704 Destination: 160 Annotation: Subtype: Link Rect: 512, 681, 522, 691 Destination: 160 Annotation: Subtype: Link Rect: 382, 656, 392, 666 Destination: 160 Annotation: Subtype: Link Rect: 381, 643, 391, 653 Destination: 160 Annotation: Subtype: Link Rect: 245, 605, 255, 615 Destination: 160 Annotation: Subtype: Link Rect: 295, 440, 300, 450 Destination: 207 Annotation: Subtype: Link Rect: 148, 389, 153, 399 Destination: 248 Annotation: Subtype: Link Rect: 334, 364, 341, 374 Destination: 404 Annotation: Subtype: Link Rect: 296, 338, 300, 348 Destination: 280 Annotation: Subtype: Link Rect: 290, 223, 296, 233 Destination: 412 Annotation: Subtype: Link Rect: 314, 223, 320, 233 Destination: 412 Annotation: Subtype: Link Rect: 355, 223, 360, 233 Destination: 396 Thumb: true Page: Label: 5 Annotations: Annotation: Subtype: Link Rect: 203, 98, 207, 108 Destination: 272 Annotation: Subtype: Link Rect: 181, 73, 191, 83 Destination: 160 Thumb: true Page: Label: 6 Thumb: true Page: Label: 7 Annotations: Annotation: Subtype: Link Rect: 270, 447, 274, 457 Destination: 248 Annotation: Subtype: Link Rect: 252, 203, 262, 213 Destination: 258 Annotation: Subtype: Link Rect: 273, 203, 282, 213 Destination: 258 Annotation: Subtype: Link Rect: 239, 129, 244, 139 Destination: 248 Thumb: true Page: Label: 8 Annotations: Annotation: Subtype: Link Rect: 233, 504, 243, 514 Destination: 280 Annotation: Subtype: Link Rect: 254, 504, 264, 514 Destination: 280 Annotation: Subtype: Link Rect: 172, 460, 176, 469 Destination: 258 Annotation: Subtype: Link Rect: 230, 460, 234, 469 Destination: 258 Annotation: Subtype: Link Rect: 302, 422, 306, 432 Destination: 207 Annotation: Subtype: Link Rect: 319, 422, 323, 432 Destination: 272 Annotation: Subtype: Link Rect: 350, 385, 355, 395 Destination: 248 Annotation: Subtype: Link Rect: 258, 372, 263, 382 Destination: 248 Annotation: Subtype: Link Rect: 386, 177, 391, 187 Destination: 207 Annotation: Subtype: Link Rect: 409, 177, 414, 187 Destination: 272 Thumb: true Page: Label: 9 Annotations: Annotation: Subtype: Link Rect: 278, 492, 282, 502 Destination: 280 Annotation: Subtype: Link Rect: 221, 157, 231, 167 Destination: 280 Annotation: Subtype: Link Rect: 242, 157, 252, 167 Destination: 280 Thumb: true Page: Label: 10 Annotations: Annotation: Subtype: Link Rect: 419, 602, 428, 612 Destination: 306 Annotation: Subtype: Link Rect: 440, 602, 449, 612 Destination: 319 Annotation: Subtype: Link Rect: 421, 336, 426, 346 Destination: 182 Annotation: Subtype: Link Rect: 430, 336, 435, 346 Destination: 182 Annotation: Subtype: Link Rect: 439, 336, 448, 346 Destination: 160 Annotation: Subtype: Link Rect: 122, 323, 131, 333 Destination: 319 Annotation: Subtype: Link Rect: 370, 323, 380, 333 Destination: 280 Thumb: true Page: Label: 11 Annotations: Annotation: Subtype: Link Rect: 470, 707, 475, 716 Destination: 272 Annotation: Subtype: Link Rect: 486, 707, 491, 716 Destination: 272 Annotation: Subtype: Link Rect: 241, 682, 246, 692 Destination: 272 Annotation: Subtype: Link Rect: 447, 596, 456, 606 Destination: 323 Annotation: Subtype: Link Rect: 175, 572, 185, 582 Destination: 323 Annotation: Subtype: Link Rect: 205, 560, 210, 570 Destination: 207 Annotation: Subtype: Link Rect: 212, 48, 222, 58 Destination: 306 Thumb: true Page: Label: 12 Annotations: Annotation: Subtype: Link Rect: 395, 703, 404, 713 Destination: 306 Annotation: Subtype: Link Rect: 435, 549, 444, 559 Destination: 350 Annotation: Subtype: Link Rect: 390, 537, 400, 547 Destination: 160 Annotation: Subtype: Link Rect: 502, 537, 511, 547 Destination: 350 Annotation: Subtype: Link Rect: 353, 525, 362, 535 Destination: 350 Annotation: Subtype: Link Rect: 160, 394, 170, 404 Destination: 350 Thumb: true Page: Label: 13 Annotations: Annotation: Subtype: Link Rect: 131, 599, 141, 608 Destination: 323 Annotation: Subtype: Link Rect: 351, 587, 361, 597 Destination: 350 Annotation: Subtype: Link Rect: 385, 587, 395, 597 Destination: 350 Annotation: Subtype: Link Rect: 301, 574, 314, 584 Destination: 404 Annotation: Subtype: Link Rect: 364, 574, 370, 584 Destination: 404 Annotation: Subtype: Link Rect: 331, 537, 340, 546 Destination: 350 Annotation: Subtype: Link Rect: 539, 286, 552, 296 Destination: 404 Annotation: Subtype: Link Rect: 160, 274, 166, 284 Destination: 404 Thumb: true Page: Label: 14 Annotations: Annotation: Subtype: Link Rect: 210, 537, 215, 547 Destination: 207 Annotation: Subtype: Link Rect: 226, 537, 231, 547 Destination: 272 Annotation: Subtype: Link Rect: 161, 375, 170, 385 Destination: 160 Annotation: Subtype: Link Rect: 254, 325, 259, 335 Destination: 280 Annotation: Subtype: Link Rect: 209, 257, 214, 267 Destination: 272 Annotation: Subtype: Link Rect: 239, 257, 248, 267 Destination: 396 Thumb: true Page: Label: 15 Annotations: Annotation: Subtype: Link Rect: 365, 375, 370, 385 Destination: 412 Annotation: Subtype: Link Rect: 331, 218, 337, 228 Destination: 412 Thumb: true Page: Label: 16 Annotations: Annotation: Subtype: Link Rect: 502, 210, 514, 220 Destination: 435 Annotation: Subtype: Link Rect: 474, 197, 485, 207 Destination: 446 Annotation: Subtype: Link Rect: 443, 97, 453, 107 Destination: 160 Thumb: true Page: Label: 17 Annotations: Annotation: Subtype: Link Rect: 345, 197, 350, 207 Destination: 119 Annotation: Subtype: Link Rect: 368, 197, 373, 207 Destination: 119 Annotation: Subtype: Link Rect: 168, 172, 173, 182 Destination: 119 Annotation: Subtype: Link Rect: 260, 135, 265, 145 Destination: 767 Annotation: Subtype: Link Rect: 241, 122, 246, 132 Destination: 119 Annotation: Subtype: Link Rect: 251, 122, 256, 132 Destination: 767 Annotation: Subtype: Link Rect: 433, 97, 437, 107 Destination: 248 Annotation: Subtype: Link Rect: 264, 85, 269, 95 Destination: 258 Annotation: Subtype: Link Rect: 167, 60, 172, 70 Destination: 767 Thumb: true Page: Label: 18 Annotations: Annotation: Subtype: Link Rect: 322, 234, 327, 244 Destination: 767 Annotation: Subtype: Link Rect: 355, 222, 360, 232 Destination: 753 Annotation: Subtype: Link Rect: 450, 184, 454, 194 Destination: 119 Annotation: Subtype: Link Rect: 472, 184, 477, 194 Destination: 753 Annotation: Subtype: Link Rect: 423, 159, 427, 169 Destination: 764 Annotation: Subtype: Link Rect: 458, 159, 463, 169 Destination: 753 Annotation: Subtype: Link Rect: 473, 147, 478, 157 Destination: 280 Annotation: Subtype: Link Rect: 224, 110, 228, 120 Destination: 764 Annotation: Subtype: Link Rect: 206, 60, 211, 70 Destination: 446 Thumb: true Page: Label: 19 Annotations: Annotation: Subtype: Link Rect: 397, 261, 406, 271 Destination: 446 Annotation: Subtype: Link Rect: 143, 162, 153, 172 Destination: 37 Annotation: Subtype: Link Rect: 256, 162, 261, 172 Destination: 280 Annotation: Subtype: Link Rect: 279, 162, 283, 172 Destination: 306 Annotation: Subtype: Link Rect: 143, 48, 153, 58 Destination: 37 Thumb: true Page: Label: 20 Annotations: Annotation: Subtype: Link Rect: 308, 261, 312, 271 Destination: 280 Annotation: Subtype: Link Rect: 330, 261, 335, 271 Destination: 306 Annotation: Subtype: Link Rect: 432, 123, 441, 133 Destination: 89 Annotation: Subtype: Link Rect: 223, 110, 228, 120 Destination: 396 Annotation: Subtype: Link Rect: 233, 110, 238, 120 Destination: 766 Annotation: Subtype: Link Rect: 297, 110, 307, 120 Destination: 89 Annotation: Subtype: Link Rect: 224, 98, 233, 108 Destination: 89 Annotation: Subtype: Link Rect: 188, 85, 198, 95 Destination: 98 Annotation: Subtype: Link Rect: 350, 73, 355, 83 Destination: 119 Thumb: true Page: Label: 21 Annotations: Annotation: Subtype: Link Rect: 489, 265, 499, 275 Destination: 160 Annotation: Subtype: Link Rect: 504, 265, 513, 275 Destination: 178 Annotation: Subtype: Link Rect: 219, 252, 228, 262 Destination: 160 Annotation: Subtype: Link Rect: 232, 252, 242, 262 Destination: 160 Annotation: Subtype: Link Rect: 246, 252, 255, 262 Destination: 178 Annotation: Subtype: Link Rect: 279, 199, 288, 209 Destination: 160 Annotation: Subtype: Link Rect: 292, 199, 302, 209 Destination: 160 Annotation: Subtype: Link Rect: 525, 186, 535, 196 Destination: 160 Annotation: Subtype: Link Rect: 418, 124, 427, 134 Destination: 178 Annotation: Subtype: Link Rect: 183, 111, 192, 121 Destination: 178 Annotation: Subtype: Link Rect: 345, 111, 349, 121 Destination: 98 Annotation: Subtype: Link Rect: 301, 98, 310, 108 Destination: 178 Annotation: Subtype: Link Rect: 451, 61, 460, 71 Destination: 98 Annotation: Subtype: Link Rect: 295, 48, 304, 58 Destination: 106 Thumb: true Page: Label: 22 Annotations: Annotation: Subtype: Link Rect: 143, 85, 153, 95 Destination: 106 Annotation: Subtype: Link Rect: 331, 85, 341, 95 Destination: 98 Annotation: Subtype: Link Rect: 208, 48, 217, 58 Destination: 106 Thumb: true Page: Label: 23 Annotations: Annotation: Subtype: Link Rect: 253, 230, 257, 240 Destination: 89 Annotation: Subtype: Link Rect: 195, 213, 205, 223 Destination: 116 Annotation: Subtype: Link Rect: 504, 188, 514, 198 Destination: 116 Annotation: Subtype: Link Rect: 395, 124, 405, 134 Destination: 116 Annotation: Subtype: Link Rect: 283, 111, 292, 121 Destination: 116 Annotation: Subtype: Link Rect: 333, 85, 342, 95 Destination: 128 Annotation: Subtype: Link Rect: 368, 72, 377, 82 Destination: 128 Thumb: true Page: Label: 24 Annotations: Annotation: Subtype: Link Rect: 363, 60, 373, 70 Destination: 144 Annotation: Subtype: Link Rect: 391, 60, 400, 70 Destination: 144 Thumb: true Page: Label: 25 Annotations: Annotation: Subtype: Link Rect: 366, 210, 376, 220 Destination: 144 Annotation: Subtype: Link Rect: 168, 123, 177, 133 Destination: 178 Annotation: Subtype: Link Rect: 374, 110, 384, 120 Destination: 178 Annotation: Subtype: Link Rect: 217, 98, 222, 108 Destination: 128 Annotation: Subtype: Link Rect: 240, 98, 244, 108 Destination: 144 Annotation: Subtype: Link Rect: 231, 85, 236, 95 Destination: 128 Annotation: Subtype: Link Rect: 254, 85, 258, 95 Destination: 144 Annotation: Subtype: Link Rect: 145, 48, 155, 58 Destination: 150 Thumb: true Page: Label: 26 Annotations: Annotation: Subtype: Link Rect: 376, 235, 386, 245 Destination: 150 Annotation: Subtype: Link Rect: 190, 210, 199, 220 Destination: 150 Annotation: Subtype: Link Rect: 271, 210, 280, 220 Destination: 157 Annotation: Subtype: Link Rect: 260, 123, 270, 133 Destination: 178 Annotation: Subtype: Link Rect: 225, 73, 234, 83 Destination: 178 Annotation: Subtype: Link Rect: 322, 60, 332, 70 Destination: 178 Annotation: Subtype: Link Rect: 238, 48, 248, 58 Destination: 178 Thumb: true Page: Label: 27 Annotations: Annotation: Subtype: Link Rect: 314, 230, 322, 238 Destination: 178 Annotation: Subtype: Link Rect: 407, 213, 415, 221 Destination: 160 Thumb: true Page: Label: 28 Annotations: Annotation: Subtype: Link Rect: 407, 221, 415, 229 Destination: 178 Thumb: true Page: Label: 29 Thumb: true Page: Label: 30 Thumb: true Page: Label: 31 Thumb: true Page: Label: 32 Annotations: Annotation: Subtype: Link Rect: 251, 427, 264, 436 Destination: 412 Annotation: Subtype: Link Rect: 347, 427, 360, 436 Destination: 412 Annotation: Subtype: Link Rect: 164, 227, 169, 237 Destination: 396 Annotation: Subtype: Link Rect: 163, 73, 168, 83 Destination: 207 Annotation: Subtype: Link Rect: 179, 73, 184, 83 Destination: 272 Thumb: true Page: Label: 33 Annotations: Annotation: Subtype: Link Rect: 179, 628, 192, 638 Destination: 412 Annotation: Subtype: Link Rect: 204, 628, 217, 638 Destination: 532 Annotation: Subtype: Link Rect: 179, 572, 192, 582 Destination: 412 Annotation: Subtype: Link Rect: 217, 572, 230, 582 Destination: 532 Annotation: Subtype: Link Rect: 310, 260, 324, 270 Destination: 532 Annotation: Subtype: Link Rect: 179, 186, 197, 196 Destination: 532 Annotation: Subtype: Link Rect: 221, 186, 235, 196 Destination: 532 Annotation: Subtype: Link Rect: 249, 112, 268, 122 Destination: 532 Annotation: Subtype: Link Rect: 349, 112, 367, 122 Destination: 532 Thumb: true Page: Label: 34 Annotations: Annotation: Subtype: Link Rect: 194, 770, 212, 780 Destination: 532 Annotation: Subtype: Link Rect: 310, 770, 329, 780 Destination: 532 Annotation: Subtype: Link Rect: 367, 770, 381, 780 Destination: 532 Annotation: Subtype: Link Rect: 446, 706, 460, 716 Destination: 412 Annotation: Subtype: Link Rect: 471, 706, 485, 716 Destination: 532 Annotation: Subtype: Link Rect: 509, 706, 528, 716 Destination: 182 Annotation: Subtype: Link Rect: 430, 666, 435, 676 Destination: 396 Annotation: Subtype: Link Rect: 272, 628, 290, 638 Destination: 532 Annotation: Subtype: Link Rect: 351, 628, 370, 638 Destination: 532 Annotation: Subtype: Link Rect: 252, 570, 265, 580 Destination: 532 Annotation: Subtype: Link Rect: 186, 228, 196, 238 Annotation: Subtype: Link Rect: 196, 228, 199, 238 Annotation: Subtype: Link Rect: 196, 228, 223, 238 Annotation: Subtype: Link Rect: 196, 228, 356, 238 Annotation: Subtype: Link Rect: 161, 216, 171, 226 Annotation: Subtype: Link Rect: 171, 216, 173, 226 Annotation: Subtype: Link Rect: 171, 216, 198, 226 Annotation: Subtype: Link Rect: 171, 216, 331, 226 Annotation: Subtype: Link Rect: 538, 139, 548, 147 Annotation: Subtype: Link Rect: 135, 129, 150, 137 Annotation: Subtype: Link Rect: 135, 129, 154, 137 Annotation: Subtype: Link Rect: 135, 129, 162, 137 Annotation: Subtype: Link Rect: 192, 99, 237, 107 Annotation: Subtype: Link Rect: 333, 79, 358, 87 Annotation: Subtype: Link Rect: 333, 79, 362, 87 Annotation: Subtype: Link Rect: 333, 79, 370, 87 Annotation: Subtype: Link Rect: 352, 69, 374, 77 Annotation: Subtype: Link Rect: 352, 69, 378, 77 Annotation: Subtype: Link Rect: 352, 69, 389, 77 Annotation: Subtype: Link Rect: 181, 49, 199, 57 Annotation: Subtype: Link Rect: 181, 49, 203, 57 Annotation: Subtype: Link Rect: 181, 49, 210, 57 Thumb: true Page: Label: 35 Annotations: Annotation: Subtype: Link Rect: 449, 771, 471, 779 Annotation: Subtype: Link Rect: 449, 771, 475, 779 Annotation: Subtype: Link Rect: 449, 771, 483, 779 Annotation: Subtype: Link Rect: 168, 751, 190, 759 Annotation: Subtype: Link Rect: 168, 751, 194, 759 Annotation: Subtype: Link Rect: 168, 751, 202, 759 Annotation: Subtype: Link Rect: 513, 741, 548, 749 Annotation: Subtype: Link Rect: 160, 721, 186, 729 Annotation: Subtype: Link Rect: 160, 721, 190, 729 Annotation: Subtype: Link Rect: 160, 721, 197, 729 Annotation: Subtype: Link Rect: 218, 701, 236, 709 Annotation: Subtype: Link Rect: 218, 701, 240, 709 Annotation: Subtype: Link Rect: 218, 701, 248, 709 Annotation: Subtype: Link Rect: 366, 681, 388, 689 Annotation: Subtype: Link Rect: 219, 661, 245, 669 Annotation: Subtype: Link Rect: 219, 661, 249, 669 Annotation: Subtype: Link Rect: 219, 661, 256, 669 Annotation: Subtype: Link Rect: 313, 641, 334, 649 Annotation: Subtype: Link Rect: 313, 641, 338, 649 Annotation: Subtype: Link Rect: 313, 641, 346, 649 Annotation: Subtype: Link Rect: 494, 631, 520, 639 Annotation: Subtype: Link Rect: 494, 631, 524, 639 Annotation: Subtype: Link Rect: 494, 631, 531, 639 Annotation: Subtype: Link Rect: 192, 611, 233, 619 Annotation: Subtype: Link Rect: 181, 591, 207, 599 Annotation: Subtype: Link Rect: 181, 591, 211, 599 Annotation: Subtype: Link Rect: 181, 591, 218, 599 Annotation: Subtype: Link Rect: 339, 552, 377, 560 Annotation: Subtype: Link Rect: 183, 532, 201, 540 Annotation: Subtype: Link Rect: 401, 512, 419, 520 Annotation: Subtype: Link Rect: 403, 492, 428, 500 Annotation: Subtype: Link Rect: 403, 492, 432, 500 Annotation: Subtype: Link Rect: 403, 492, 440, 500 Annotation: Subtype: Link Rect: 376, 482, 397, 490 Annotation: Subtype: Link Rect: 376, 482, 401, 490 Annotation: Subtype: Link Rect: 376, 482, 413, 490 Annotation: Subtype: Link Rect: 184, 462, 210, 470 Annotation: Subtype: Link Rect: 184, 462, 214, 470 Annotation: Subtype: Link Rect: 184, 462, 221, 470 Annotation: Subtype: Link Rect: 348, 422, 377, 430 Annotation: Subtype: Link Rect: 242, 402, 260, 410 Annotation: Subtype: Link Rect: 242, 402, 264, 410 Annotation: Subtype: Link Rect: 242, 402, 275, 410 Annotation: Subtype: Link Rect: 380, 392, 544, 400 Annotation: Subtype: Link Rect: 135, 382, 174, 390 Annotation: Subtype: Link Rect: 303, 362, 370, 370 Annotation: Subtype: Link Rect: 370, 362, 525, 370 Annotation: Subtype: Link Rect: 253, 342, 267, 350 Annotation: Subtype: Link Rect: 516, 332, 529, 340 Annotation: Subtype: Link Rect: 135, 322, 158, 330 Annotation: Subtype: Link Rect: 277, 303, 302, 310 Annotation: Subtype: Link Rect: 277, 303, 306, 310 Annotation: Subtype: Link Rect: 277, 303, 310, 310 Annotation: Subtype: Link Rect: 533, 293, 542, 301 Annotation: Subtype: Link Rect: 135, 283, 158, 291 Annotation: Subtype: Link Rect: 437, 273, 458, 281 Annotation: Subtype: Link Rect: 437, 273, 462, 281 Annotation: Subtype: Link Rect: 437, 273, 466, 281 Annotation: Subtype: Link Rect: 204, 253, 242, 261 Annotation: Subtype: Link Rect: 191, 233, 343, 241 Annotation: Subtype: Link Rect: 429, 223, 473, 231 Annotation: Subtype: Link Rect: 215, 203, 250, 211 Annotation: Subtype: Link Rect: 316, 183, 341, 191 Annotation: Subtype: Link Rect: 316, 183, 345, 191 Annotation: Subtype: Link Rect: 316, 183, 353, 191 Annotation: Subtype: Link Rect: 288, 163, 314, 171 Annotation: Subtype: Link Rect: 288, 163, 318, 171 Annotation: Subtype: Link Rect: 288, 163, 325, 171 Annotation: Subtype: Link Rect: 370, 153, 388, 161 Annotation: Subtype: Link Rect: 370, 153, 392, 161 Annotation: Subtype: Link Rect: 370, 153, 400, 161 Annotation: Subtype: Link Rect: 201, 133, 226, 141 Annotation: Subtype: Link Rect: 201, 133, 231, 141 Annotation: Subtype: Link Rect: 201, 133, 238, 141 Annotation: Subtype: Link Rect: 523, 103, 541, 111 Annotation: Subtype: Link Rect: 523, 103, 545, 111 Annotation: Subtype: Link Rect: 523, 103, 548, 111 Thumb: true Page: Label: 36 Annotations: Annotation: Subtype: Link Rect: 171, 761, 213, 769 Annotation: Subtype: Link Rect: 158, 741, 180, 749 Annotation: Subtype: Link Rect: 158, 741, 184, 749 Annotation: Subtype: Link Rect: 158, 741, 191, 749 Annotation: Subtype: Link Rect: 318, 731, 482, 739 Annotation: Subtype: Link Rect: 445, 721, 531, 729 Annotation: Subtype: Link Rect: 135, 711, 373, 719 Annotation: Subtype: Link Rect: 467, 701, 509, 709 Annotation: Subtype: Link Rect: 244, 681, 269, 689 Annotation: Subtype: Link Rect: 244, 681, 273, 689 Annotation: Subtype: Link Rect: 244, 681, 281, 689 Annotation: Subtype: Link Rect: 260, 661, 295, 669 Annotation: Subtype: Link Rect: 236, 641, 269, 649 Annotation: Subtype: Link Rect: 305, 621, 339, 629 Thumb: true Checksum: b46931e1 Type: CRC32 Checksum: f05cb814c20a47676d93b880b2afd45b Type: MD5 Checksum: 164485ed2a50e1224588625a0d2d2f36da42485e Type: SHA-1 Checksum: b03bfc09f09e080f4d711d99bbb90e47e91ba3e3092d2d2deedf4ceac5702d81 Type: SHA-256