Global stability of multi-group epidemic model with distributed delays and indirect transmission

被引：0
|
作者：
Zheng Y. [1 ]
Abdurahman X. [1 ]
机构：
[1] College of Mathematics and Systems Science, Xinjiang University, Urumqi
来源：
Journal of Nonlinear Functional Analysis | 2023年 / 2023卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Basic reproduction number; Distributed delays; Global stability; Lyapunov functionals; Multi-group;
D O I：
10.23952/JNFA.2023.13
中图分类号：
学科分类号：
摘要：
In this paper, a multi-group epidemic model with distributed delays and indirect transmission is discussed. We identified the basic reproduction number R0 and investigated the dynamical properties of the model with respect to R0. It is proved that the disease-free equilibrium is globally asymptotically stable if R0 ≤ 1, and there exists a unique endemic equilibrium which is globally asymptotically stable if R0 > 1. Specifically, we used the method of Lyapunov functionals and graph-theoretical approach to prove that the global stability of the endemic equilibrium. © 2023 Journal of Nonlinear Functional Analysis.
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