Studies on the basic reproduction number in stochastic epidemic models with random perturbations

Advances in Difference Equations

article

Ríos-Gutiérrez, Andrés¹  Torres, Soledad²  Arunachalam, Viswanathan¹ 

[1] Department of Statistics, Universidad Nacional de Colombia;Universidad de Valparaiso

关键词: Basic reproduction number;    Random perturbations;    Brownian motion;    Stability analysis;   

DOI  :  10.1186/s13662-021-03445-2

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

In this paper, we discuss the basic reproduction number of stochastic epidemic models with random perturbations. We define the basic reproduction number in epidemic models by using the integral of a function or survival function. We study the systems of stochastic differential equations for SIR, SIS, and SEIR models and their stability analysis. Some results on deterministic epidemic models are also obtained. We give the numerical conditions for which the disease-free equilibrium point is asymptotically stable.

【 授权许可】

CC BY