3434912a92e4756e4d425693de977ecf pmc_33919501.pdf 5ed252d4e039e7c3a29813bef34dcccd049779a5 pmc_33919501.pdf 74323c344c4f668094348c23b7733ede2d06adfae06fe0c3f59482ef9e69ba25 pmc_33919501.pdf Title: On a Discrete SEIR Epidemic Model with Two-Doses Delayed Feedback Vaccination Control on the Susceptible Subject: A new discrete susceptible-exposed-infectious-recovered (SEIR) epidemic model is presented subject to a feedback vaccination effort involving two doses. Both vaccination doses, which are subject to a non-necessarily identical effectiveness, are administrated by respecting a certain mutual delay interval, and their immunity effect is registered after a certain delay since the second dose. The delays and the efficacies of the doses are parameters, which can be fixed in the model for each concrete experimentation. The disease-free equilibrium point is characterized as well as its stability properties, while it is seen that no endemic equilibrium point exists. The exposed subpopulation is supposed to be infective eventually, under a distinct transmission rate of that of the infectious subpopulation. Some simulation examples are presented by using disease parameterizations of the COVID-19 pandemic under vaccination efforts requiring two doses. Keywords: discrete epidemic model; delayed feedback vaccination control; vaccination doses; COVID-19 pandemic Author: Manuel De la Sen, Santiago Alonso-Quesada, Asier Ibeas and Raul Nistal Creator: LaTeX with hyperref Producer: pdfTeX-1.40.21 CreationDate: Thu Apr 22 14:23:14 2021 CEST ModDate: Thu Apr 22 14:29:49 2021 CEST Tagged: no UserProperties: no Suspects: no Form: none JavaScript: no Pages: 26 Encrypted: no Page size: 595.276 x 841.89 pts (A4) Page rot: 0 File size: 3751853 bytes Optimized: no PDF version: 1.7 name type encoding emb sub uni object ID ------------------------------------ ----------------- ---------------- --- --- --- --------- KPNHET+VnURWPalladioL Type 1 Custom yes yes no 10 0 JDDAWG+URWPalladioL-Ital Type 1 Custom yes yes no 15 0 SICNDE+URWPalladioL-Bold Type 1 Custom yes yes no 20 0 GVAXLW+URWPalladioL-Roma Type 1 Custom yes yes no 24 0 MCBCCI+SourceSansRoman-Regular Type 1C Custom yes yes no 51 0 MCBCCM+SourceSansRoman.613wght Type 1C Custom yes yes no 55 0 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ReportingModule: PDF-hul, Rel. 1.12.1 (2019-04-17) LastModified: 2023-03-31 12:09:47 CEST Size: 3751853 Format: PDF Version: 1.7 Status: Well-Formed and valid SignatureMatches: PDF-hul MIMEtype: application/pdf PDFMetadata: Objects: 665 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 Discrete SEIR Epidemic Model Subject to Two Vaccination Doses Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@7b69c6ba Item: Title: Non-Negativity, Stability and Disease-Free Equilibrium Point Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@46daef40 Item: Title: Nonexistence of Endemic Equilibrium Point Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@12f41634 Item: Title: Simulation Results Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@13c27452 Item: Title: Concluding Remarks Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@262b2c86 Item: Title: Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@371a67ec Children: Item: Title: Some Auxiliary Technical Results Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@5ed828d Item: Title: A More Detailed Expansion of the Squared Numerator of (A9) Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@50d0686 Item: Title: A Fast and Simple Delay-Dependent Stability Test Based on Rouché's Theorem of Zeros Within Open Circles Contained in the Unit Circle 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 a Discrete SEIR Epidemic Model with Two-Doses Delayed Feedback Vaccination Control on the Susceptible Author: Manuel De la Sen, Santiago Alonso-Quesada, Asier Ibeas and Raul Nistal Subject: A new discrete susceptible-exposed-infectious-recovered (SEIR) epidemic model is presented subject to a feedback vaccination effort involving two doses. Both vaccination doses, which are subject to a non-necessarily identical effectiveness, are administrated by respecting a certain mutual delay interval, and their immunity effect is registered after a certain delay since the second dose. The delays and the efficacies of the doses are parameters, which can be fixed in the model for each concrete experimentation. The disease-free equilibrium point is characterized as well as its stability properties, while it is seen that no endemic equilibrium point exists. The exposed subpopulation is supposed to be infective eventually, under a distinct transmission rate of that of the infectious subpopulation. Some simulation examples are presented by using disease parameterizations of the COVID-19 pandemic under vaccination efforts requiring two doses. 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