Year: 2020
Author: Liuqing Yang, Fengying Wei
Annals of Applied Mathematics, Vol. 36 (2020), Iss. 2 : pp. 204–220
Abstract
We propose an epidemic model consisting five compartments within a total population with Crowley-Martin incidence rate and Holling type II treatment, where total population is separated by the susceptible, the vaccinated, the exposed, the infected and the removed in this paper. We firstly prove that the epidemic model admits a unique global positive solution by contradiction. We then find out that diseases tend to extinction provided that the basic reproduction number is less than one. Moreover, the sufficient conditions of persistence for infectious diseases are obtained by constructing suitable Lyapunov functions.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2020-AAM-18098
Annals of Applied Mathematics, Vol. 36 (2020), Iss. 2 : pp. 204–220
Published online: 2020-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: epidemic model Crowley-Martin incidence rate extinction persistence.