Dynamic characterization of a stochastic SIR infectious disease model with dual perturbation

作     者：Driss Kiouach Yassine Sabbar 

作者机构：LPAIS LaboratoryFaculty of Sciences Dhar El Mahraz Sidi Mohamed Ben Abdellah UniversityFezMorocco 

出 版 物：《International Journal of Biomathematics》 (生物数学学报（英文版）)

年 卷 期：2021年第14卷第4期

页      面：1-26页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：SIR epidemic model white noise Levy noise stationary distribution persistence extinction 

摘      要：Environmental perturbations are unavoidable in the propagation of infectious *** this paper,we introduce the stochasticity into the susceptible-infected recovered(SIR)model via thc^parameter perturbation *** stochastic disturbances associated with the disease transmission coefficient and the mortality rate are presented with two perturbations:Gaussian white noise and Levy jumps,*** idea provides an overview of disease dynamics under different random perturbation *** using new techniques and methods,we study certain interesting asymptotic properties of our perturbed model,namely:persistence in the mean,ergodicity and extinction of the *** illustrative purposes,numerical examples are presented for checking the theoretical study.