Dynamical behavior of a higher order stochastically perturbed SIRI epidemic model with relapse and media coverage

被引：17
|
作者：
Liu, Qun [1 ]
Jiang, Daqing [2 ,3 ,4 ]
Hayat, Tasawar [4 ,5 ]
Alsaedi, Ahmed [4 ]
Ahmad, Bashir [4 ]
机构：
[1] Northeast Normal Univ, Sch Math & Stat, Key Lab Appl Stat MOE, Changchun 130024, Jilin, Peoples R China
[2] China Univ Petr East China, Minist Educ, Key Lab Unconvent Oil & Gas Dev, Qingdao 266580, Peoples R China
[3] China Univ Petr, Coll Sci, Qingdao 266580, Shandong, Peoples R China
[4] King Abdulaziz Univ, Nonlinear Anal & Appl Math NAAM Res, Jeddah, Saudi Arabia
[5] Quaid I Azam Univ, Dept Math, Islamabad 45320, Pakistan
来源：
CHAOS SOLITONS & FRACTALS | 2020年 / 139卷
基金：
中国国家自然科学基金;
关键词：
SIRI epidemic model; Relapse; Media coverage; Stationary distribution; Ergodicity; Extinction; ERGODIC STATIONARY DISTRIBUTION; PREDATOR-PREY MODEL; PERIODIC-SOLUTION; EXTINCTION;
D O I：
10.1016/j.chaos.2020.110013
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper is intended to explore a higher order stochastically perturbed SIRI epidemic model with relapse and media coverage. Firstly, we derive sufficient criteria for the existence and uniqueness of an ergodic stationary distribution of positive solutions to the system by establishing a suitable stochastic Lyapunov function. Then we obtain adequate conditions for complete eradication and wiping out of the infectious disease. In a biological interpretation, the existence of a stationary distribution implies that the disease will prevail and persist in the long term. Finally, the theoretical results are illustrated by computer simulations, including two examples based on real-life disease. (C) 2020 Elsevier Ltd. All rights reserved.
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页数：16
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