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.

引用

页码：6173 / 6184

页数：12

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