f536704d7ac76aadebaf2e029eabf406 pmc_35162533.pdf a42816c9a27a8b96e367b5c3bbada8905b4f7e52 pmc_35162533.pdf bf0e1da7a28b93c8b775264f5a9d18921435072b372df7af505c03dc9d768e28 pmc_35162533.pdf Title: On the Supervision of a Saturated SIR Epidemic Model with Four Joint Control Actions for a Drastic Reduction in the Infection and the Susceptibility through Time Subject: This paper presents and studies a new epidemic SIR (Susceptible–Infectious–Recovered) model with susceptible recruitment and eventual joint vaccination efforts for both newborn and susceptible individuals. Furthermore, saturation effects in the infection incidence terms are eventually assumed for both the infectious and the susceptible subpopulations. The vaccination action on newborn individuals is assumed to be applied to a fraction of them while that on the susceptible general population is of linear feedback type reinforced with impulsive vaccination actions (in practice, very strong and massive vaccination controls) at certain time points, based on information on the current levels of the susceptible subpopulation. Apart from the above vaccination controls, it is also assumed that the average of contagion contacts can be controlled via intervention measures, such as confinements or isolation measures, social distance rules, use of masks, mobility constraints, etc. The main objectives of the paper are the achievement of a strictly decreasing infection for all time periods and that of the susceptible individuals over the initial period if they exceed the disease-free equilibrium value. The monitoring mechanism is the combined activation of intervention measures to reduce the contagion contacts together with the impulsive vaccination to reduce susceptibility. The susceptibility and recovery levels of the disease-free equilibrium point are suitably prefixed by the design of the regular feedback vaccination on the susceptible subpopulation. Keywords: SIR epidemic model; saturated incidence; contact contagion rate; intervention measures; environment; equilibrium points; vaccination controls Author: Manuel De la Sen, Asier Ibeas and Santiago Alonso-Quesada Creator: LaTeX with hyperref Producer: pdfTeX-1.40.21 CreationDate: Fri Jan 28 12:37:02 2022 CET ModDate: Fri Jan 28 12:48:31 2022 CET 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: 35740286 bytes Optimized: no PDF version: 1.7 name type encoding emb sub uni object ID ------------------------------------ ----------------- ---------------- --- --- --- --------- MIKRSI+VnURWPalladioL Type 1 Custom yes yes no 10 0 UAEXAP+URWPalladioL-Bold Type 1 Custom yes yes no 15 0 PGQFHI+URWPalladioL-Roma Type 1 Custom yes yes no 20 0 LNASYG+URWPalladioL-Ital Type 1 Custom yes yes no 24 0 MCBCCI+SourceSansRoman-Regular Type 1C Custom yes yes no 32 0 MCBCCM+SourceSansRoman.613wght Type 1C Custom yes yes no 36 0 MCBCCO+SourceSansRoman-Bold Type 1C Custom yes yes no 40 0 LWQXII+TimesNewRomanPS-BoldItalicMT Type 1C WinAnsi yes yes no 52 0 IRWHZX+TimesNewRomanPSMT Type 1C WinAnsi yes yes no 55 0 LHWZFU+CMEX10 Type 1 Builtin yes yes no 80 0 BNHMUX+PazoMath-Italic Type 1 Builtin yes yes no 84 0 SOSTRQ+CMR10 Type 1 Builtin yes yes no 88 0 WGIDHL+CMSY10 Type 1 Builtin yes yes no 92 0 SYFPBV+CMMI10 Type 1 Builtin yes yes no 99 0 QHMKWQ+PazoMath Type 1 Builtin yes yes no 103 0 MBXBYR+URWPalladioL-BoldItal Type 1 Custom yes yes no 107 0 TMHVPV+MSAM10 Type 1 Builtin yes yes no 335 0 Jhove (Rel. 1.22.1, 2019-04-17) Date: 2023-03-18 02:43:28 CET RepresentationInformation: pmc_35162533.pdf ReportingModule: PDF-hul, Rel. 1.12.1 (2019-04-17) LastModified: 2022-02-27 18:41:37 CET Size: 35740286 Format: PDF Version: 1.7 Status: Well-Formed and valid SignatureMatches: PDF-hul MIMEtype: application/pdf PDFMetadata: Objects: 480 FreeObjects: 45 IncrementalUpdates: 0 DocumentCatalog: PageLayout: SinglePage PageMode: UseNone Outlines: Item: Title: Introduction Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@44c8afef Item: Title: The Epidemic Model Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@7b69c6ba Item: Title: Control of the Contagion Rate for a Drastic Reduction in the Infection Ratethrough Time Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@46daef40 Item: Title: Vaccination-Dependent Disease-Free Equilibrium Point under Impulsive Stopping in Finite Time Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@12f41634 Item: Title: Impulsive Vaccination Control for a Drastic Reduction in the Susceptible Subpopulation through Time Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@13c27452 Item: Title: Simulation Examples Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@262b2c86 Item: Title: Conclusions Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@371a67ec Item: Title: Appendix A Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@5ed828d Item: Title: References Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@50d0686 Info: Title: On the Supervision of a Saturated SIR Epidemic Model with Four Joint Control Actions for a Drastic Reduction in the Infection and the Susceptibility through Time Author: Manuel De la Sen, Asier Ibeas and Santiago Alonso-Quesada Subject: This paper presents and studies a new epidemic SIR (Susceptible Infectious Recovered) model with susceptible recruitment and eventual joint vaccination efforts for both newborn and susceptible individuals. Furthermore, saturation effects in the infection incidence terms are eventually assumed for both the infectious and the susceptible subpopulations. The vaccination action on newborn individuals is assumed to be applied to a fraction of them while that on the susceptible general population is of linear feedback type reinforced with impulsive vaccination actions (in practice, very strong and massive vaccination controls) at certain time points, based on information on the current levels of the susceptible subpopulation. Apart from the above vaccination controls, it is also assumed that the average of contagion contacts can be controlled via intervention measures, such as confinements or isolation measures, social distance rules, use of masks, mobility constraints, etc. The main objectives of the paper are the achievement of a strictly decreasing infection for all time periods and that of the susceptible individuals over the initial period if they exceed the disease-free equilibrium value. The monitoring mechanism is the combined activation of intervention measures to reduce the contagion contacts together with the impulsive vaccination to reduce susceptibility. The susceptibility and recovery levels of the disease-free equilibrium point are suitably prefixed by the design of the regular feedback vaccination on the susceptible subpopulation. 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