b1399321376a0f579d022122f155850b applsci_11_09020.pdf 9ec4452474198dd0b4ee3ceb6d3e3c3847b2f4fb applsci_11_09020.pdf 769244a22e59fd163f1ba3fb52cb181225f02c79fb6ee4e0ed94c09a9eb9aa87 applsci_11_09020.pdf Title: On the Properties of a Class of Impulsive Competition Beverton–Holt Equations Subject: This paper is devoted to a type of combined impulsive discrete Beverton–Holt equations in ecology when eventual discontinuities at sampling time instants are considered. Such discontinuities could be interpreted as impulses in the corresponding continuous-time logistic equations. The set of equations involve competition-type coupled dynamics among a finite set of species. It is assumed that, in general, the intrinsic growth rates and the carrying capacities are eventually distinct for the various species. The impulsive parts of the equations are parameterized by harvesting quotas and independent consumptions which are also eventually distinct for the various species and which control the populations’ evolution. The performed study includes the existence of extinction and non-extinction equilibrium points, the conditions of non-negativity and boundedness of the solutions for given finite non-negative initial conditions and the conditions of asymptotic stability without or with extinction of the solutions. Keywords: difference equations; discrete Beverton–Holt equation; impulsive equations; competition Beverton–Holt equations; equilibrium points; non-negativity; boundedness Author: Manuel De la Sen, Asier Ibeas, Santiago Alonso-Quesada, Aitor J. Garrido and Izaskun Garrido Creator: LaTeX with hyperref Producer: pdfTeX-1.40.21 CreationDate: Tue Sep 28 10:17:50 2021 CEST ModDate: Tue Sep 28 10:19:32 2021 CEST Tagged: no UserProperties: no Suspects: no Form: none JavaScript: no Pages: 38 Encrypted: no Page size: 595.276 x 841.89 pts (A4) Page rot: 0 File size: 2540162 bytes Optimized: no PDF version: 1.7 name type encoding emb sub uni object ID ------------------------------------ ----------------- ---------------- --- --- --- --------- YFGXJN+URWPalladioL-Ital Type 1 Custom yes yes no 10 0 KLGYXH+URWPalladioL-Bold Type 1 Custom yes yes no 15 0 YAVWEP+URWPalladioL-Roma Type 1 Custom yes yes no 19 0 ZNKOOR+VnURWPalladioL Type 1 Custom yes yes no 23 0 CRVMKC+TimesNewRomanPS-BoldItalicMT Type 1C WinAnsi yes yes no 32 0 MCBCCI+SourceSansRoman-Regular Type 1C Custom yes yes no 54 0 MCBCCM+SourceSansRoman.613wght Type 1C Custom yes yes no 58 0 MCBCCO+SourceSansRoman-Bold Type 1C Custom yes yes no 62 0 ZAZELM+PazoMath-Italic Type 1 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NGECOP+PalatinoLinotype,Italic TrueType WinAnsi yes yes no 630 0 NGECPB+PalatinoLinotype,Bold TrueType WinAnsi yes yes no 633 0 NGEDAD+PalatinoLinotype TrueType WinAnsi yes yes no 636 0 NGEDBF+TimesNewRoman CID TrueType Identity-H yes yes yes 639 0 Jhove (Rel. 1.22.1, 2019-04-17) Date: 2023-05-27 03:38:16 CEST RepresentationInformation: applsci_11_09020.pdf ReportingModule: PDF-hul, Rel. 1.12.1 (2019-04-17) LastModified: 2023-03-31 11:47:48 CEST Size: 2540162 Format: PDF Version: 1.7 Status: Well-Formed and valid SignatureMatches: PDF-hul MIMEtype: application/pdf PDFMetadata: Objects: 775 FreeObjects: 1 IncrementalUpdates: 0 DocumentCatalog: PageLayout: SinglePage PageMode: UseNone Outlines: Item: Title: Introduction Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@44c8afef Item: Title: The Competition Equation and Its Main Properties Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@7b69c6ba Children: Item: Title: The Single-Species Impulsive Beverton Holt Equation Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@46daef40 Item: Title: The Competition Impulsive Beverton Holt Equation Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@12f41634 Item: Title: Equilibrium Points Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@13c27452 Item: Title: Non-Negativity and Boundedness of the Solutions Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@262b2c86 Item: Title: Stability Results Obtained by Lyapunov Method Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@371a67ec Item: Title: About Extinction Conditions under Small Intrinsic Growth Rates Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@5ed828d Item: Title: Numerical Experiments Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@50d0686 Item: Title: Conclusions Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@7a3d45bd Item: Title: References Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@1e7c7811 Info: Title: On the Properties of a Class of Impulsive Competition Beverton Holt Equations Author: Manuel De la Sen, Asier Ibeas, Santiago Alonso-Quesada, Aitor J. Garrido and Izaskun Garrido Subject: This paper is devoted to a type of combined impulsive discrete Beverton Holt equations in ecology when eventual discontinuities at sampling time instants are considered. Such discontinuities could be interpreted as impulses in the corresponding continuous-time logistic equations. The set of equations involve competition-type coupled dynamics among a finite set of species. It is assumed that, in general, the intrinsic growth rates and the carrying capacities are eventually distinct for the various species. The impulsive parts of the equations are parameterized by harvesting quotas and independent consumptions which are also eventually distinct for the various species and which control the populations’ evolution. The performed study includes the existence of extinction and non-extinction equilibrium points, the conditions of non-negativity and boundedness of the solutions for given finite non-negative initial conditions and the conditions of asymptotic stability without or with extinction of the solutions. Keywords: difference equations; discrete Beverton Holt equation; impulsive equations; competition Beverton Holt equations; equilibrium points; non-negativity; boundedness Creator: LaTeX with hyperref Producer: pdfTeX-1.40.21 CreationDate: Tue Sep 28 10:17:50 CEST 2021 ModDate: Tue Sep 28 10:19:32 CEST 2021 ID: 0x0128a403f93a85b2849d79a7f3da16f2, 0x0128a403f93a85b2849d79a7f3da16f2 Filters: FilterPipeline: FlateDecode Fonts: Type1: Font: BaseFont: VUABVQ+CMMI10 FontSubset: true FirstChar: 60 LastChar: 96 FontDescriptor: FontName: VUABVQ+CMMI10 Flags: Symbolic FontBBox: -32, -250, 1048, 750 FontFile: true Font: BaseFont: WABLSD+SFRM1000 FontSubset: true FirstChar: 180 LastChar: 180 FontDescriptor: FontName: WABLSD+SFRM1000 Flags: Symbolic FontBBox: -189, -321, 1456, 937 FontFile: true EncodingDictionary: Differences: true Font: BaseFont: YFGXJN+URWPalladioL-Ital FontSubset: true FirstChar: 2 LastChar: 150 FontDescriptor: FontName: YFGXJN+URWPalladioL-Ital Flags: Symbolic FontBBox: -170, 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