Dynamics of a stochastic SIR epidemic model driven by Levy jumps with saturated incidence rate and saturated treatment function

被引：16
|
作者：
El Koufi, Amine [1 ]
Adnani, Jihad [1 ]
Bennar, Abdelkrim [1 ]
Yousfi, Noura [1 ]
机构：
[1] Hassan II Univ, Fac Sci Ben Msik, Lab Anal Modeling & Simulat LAMS, POB 7955, Casablanca, Morocco
来源：
STOCHASTIC ANALYSIS AND APPLICATIONS | 2022年 / 40卷 / 06期
关键词：
Epidemic model; saturated treatment function; Levy noise; persistence; extinction; NONLINEAR INCIDENCE; TEMPORARY IMMUNITY; THRESHOLD; BIFURCATION;
D O I：
10.1080/07362994.2021.1981382
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we consider a stochastic SIR model with a saturated incidence rate and saturated treatment function incorporating Levy noise. First, we prove the existence of a unique global positive solution to the model. We investigate the stability of the free equilibria E-0 by using the Lyapunov method. We give sufficient conditions for the persistence in the mean. We show the dynamic properties of the solution around endemic equilibria point of the deterministic model. Moreover, we display some numerical results to confirm our theoretical results.
引用
收藏
页码：1048 / 1066
页数：19
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