Global stability and positive recurrence of a stochastic SIS model with Levy noise perturbation

被引：19
作者：
Caraballo, Tomas [1 ]
Settati, Adel [2 ]
El Fatini, Mohamed [3 ]
Lahrouz, Aadil [2 ]
Imlahi, Abdelouahid [2 ]
机构：
[1] Univ Seville, Fac Matemat, Dept Ecuac Diferenciales & Anal Numer, Tarfia S-N, Seville 41012, Spain
[2] Fac Sci & Tech, Dept Math, Lab Math & Applicat, BP 416 Tanger Principale, Tanger, Morocco
[3] Ibn Tofail Univ, FS, Dept Math, BP 133, Kenitra, Morocco
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2019年 / 523卷
关键词：
White noise; Levy jumps; Extinction; Persistence; Positive recurrence; SIRS EPIDEMIC MODEL; DIFFERENTIAL-EQUATIONS; ASYMPTOTIC STABILITY; DYNAMICS; DRIVEN;
D O I：
10.1016/j.physa.2019.03.006
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Focusing on epidemic model in random environments, this paper uses white noise and Levy noise to model the dynamics of the SIS epidemic model subject to the random changes of the external environment. We show that the jump encourages the extinction of the disease in the population. We first, give a rigorous proof of the global stability of the disease-free equilibrium state. We also establish sufficient conditions for the persistence of the disease. The presented results are demonstrated by numerical simulations. (C) 2019 Elsevier B.V. All rights reserved.
引用
收藏
页码：677 / 690
页数：14
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