Global dynamics of an endemic disease model with vaccination: Analysis of the asymptomatic and symptomatic groups in complex networks-Reference-Cited by-同舟云学术

Global dynamics of an endemic disease model with vaccination: Analysis of the asymptomatic and symptomatic groups in complex networks

Published:2023 Issue:10 Volume:31 Page:6481-6504
ISSN:2688-1594
Container-title:Electronic Research Archive
language:
Short-container-title:era

Author:

Li Erhui¹,Zhang Qingshan¹²

Affiliation:

1. School of Mathematical Sciences, Henan Institute of Science and Technology, Xinxiang 453003, China

2. Postdoctoral Research Base, Henan Institute of Science and Technology, Xinxiang 453003, China

Abstract

<abstract><p>In this paper, we analyze the global dynamics of an endemic mathematical model that incorporates direct immunity by vaccination, as well as the shift from the asymptomatic to the symptomatic group in complex networks. By analyzing the Jacobian matrix and constructing suitable Lyapunov functionals, the stability of the disease-free equilibrium and the endemic equilibrium is determined with respect to the basic reproduction number $ R_0 $. Numerical simulations in scale-free and Poisson network environments are presented. The results validate the correctness of our theoretical analyses.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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