Global dynamics and threshold behavior of an SEIR epidemic model with nonlocal diffusion

被引:0
|
作者
Dey, Subir [1 ]
Kar, Tapan Kumar [1 ]
Kuniya, Toshikazu [2 ]
机构
[1] Indian Inst Engn Sci & Technol, Dept Math, Howrah 711103, West Bengal, India
[2] Kobe Univ, Grad Sch Syst Informat, 1-1 Rokkodai Cho,Nada Ku, Kobe 6578501, Japan
关键词
Nonlocal diffusion; SEIR model; Basic reproduction number; Global compact attractor; Global stability; Lyapunov function; STABILITY; EQUATION; DISPERSAL; EVOLUTION; AGE;
D O I
10.1016/j.matcom.2024.07.002
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
This paper studies the global dynamics of an SEIR (Susceptible-Exposed-Infectious-Recovered) model with nonlocal diffusion. We show the model's well-posedness, proving the solutions' existence, uniqueness, and positivity, along with a disease-free equilibrium. Next, we prove that the model admits the global threshold dynamics in terms of the basic reproduction number R-0 , defined as the spectral radius of the next-generation operator. We show that the solution map has a global compact attractor, offering insights into long-term dynamics. In particular, the analysis shows that for R-0 < 1 , the disease-free equilibrium is globally stable. Using the persistence theory, we show that there is an endemic equilibrium point for R-0 > 1 . Moreover, by constructing an appropriate Lyapunov function, we establish the global stability of the unique endemic equilibrium in two distinct scenarios.
引用
收藏
页码:91 / 117
页数:27
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