STOCHASTIC AND DETERMINISTIC SIS PATCH MODEL

被引：0
|
作者：
Yeo, Tenan [1 ,2 ,3 ]
机构：
[1] Aix Marseille Univ, Marseille, France
[2] CNRS, Cent Marseille, I2M, Marseille, France
[3] Univ FH Boigny, UFR MI, Abidjan, Cote Ivoire
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2021年 / 26卷 / 12期
关键词：
epidemic patch model; law of large numbers; endemic equilibrium; GLOBAL STABILITY; SYSTEMS; NUMBERS;
D O I：
10.3934/dcdsb.2021012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Here, we consider an SIS epidemic model where the individuals are distributed on several distinct patches. We construct a stochastic model and then prove that it converges to a deterministic model as the total population size tends to infinity. We next study the equilibria of the deterministic model. Our main contribution is a stability result of the endemic equilibrium in the case R-0 > 1. Finally we compare the equilibria with those of the homogeneous model, and with those of isolated patches.
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页码：6173 / 6184
页数：12
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