b9d5dbf6fb6b24d9cc14d2cb99ae1cc3 mathematics_a2018v7n1p18.pdf ee5771383fb3e1a0a82f0901127029b2ff2b00b9 mathematics_a2018v7n1p18.pdf 49d0215b02bf43ae0adba715d3e15f9d1226baac717b31aa32092988842e7e00 mathematics_a2018v7n1p18.pdf Title: On a New Discrete SEIADR Model with Mixed Controls: Study of Its Properties Subject: A new discrete SEIADR epidemic model is built based on previous continuous models. The model considers two extra subpopulation, namely, asymptomatic and lying corpses on the usual SEIR models. It can be of potential interest for diseases where infected corpses are infectious like, for instance, Ebola. The model includes two types of vaccinations, a constant one and another proportional to the susceptible subpopulation, as well as a treatment control applied to the infected subpopulation. We study the positivity of the controlled model and the stability of the equilibrium points. Simulations are made in order to provide allocation and examples to the different possible conditions. The equilibrium point with no infection and its stability is related, via the reproduction number values, to the reachability of the endemic equilibrium point. Keywords: vaccination controls; nonlinear dynamics and control systems; epidemic models; discrete models Author: Raul Nistal, Manuel de la Sen, Santiago Alonso-Quesada and Asier Ibeas Creator: LaTeX with hyperref package Producer: pdfTeX-1.40.18 CreationDate: Tue Dec 25 06:58:24 2018 CET ModDate: Tue Dec 25 06:58:24 2018 CET Tagged: no UserProperties: no Suspects: no Form: none JavaScript: no Pages: 19 Encrypted: no Page size: 595.276 x 841.89 pts (A4) Page rot: 0 File size: 3577096 bytes Optimized: no PDF version: 1.5 name type encoding emb sub uni object ID ------------------------------------ ----------------- ---------------- --- --- --- --------- NKDOCS+URWPalladioL-Ital Type 1 Custom yes yes no 100 0 ATVLBO+URWPalladioL-Bold Type 1 Custom yes yes no 101 0 XJPNAB+URWPalladioL-Roma Type 1 Custom yes yes no 102 0 DVTHKG+TimesNewRomanPS-BoldItalicMT Type 1C WinAnsi yes yes no 107 0 MCBCCI+SourceSansRoman-Regular Type 1C Custom yes yes no 124 0 MCBCCM+SourceSansRoman.613wght Type 1C 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