A stochastic SEIRS rabies model with population dispersal: Stationary distribution and probability density function

被引：0
|
作者：
Shi, Zhenfeng [1 ]
Jiang, Daqing [2 ,3 ]
Zhang, Xinhong [2 ]
Alsaedi, Ahmed [3 ]
机构：
[1] Northeast Normal Univ, Sch Math & Stat, Key Lab Appl Stat MOE, Changchun 130024, Jilin, Peoples R China
[2] China Univ Petr, Coll Sci, Qingdao 266580, Shandong, Peoples R China
[3] King Abdulaziz Univ, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, Jeddah, Saudi Arabia
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2022年 / 427卷
基金：
中国国家自然科学基金;
关键词：
Rabies; Patch model; Stationary distribution; Ergodicity; Probability density function; SIS EPIDEMIC MODEL; TRANSMISSION DYNAMICS; FOX RABIES; PROVINCE;
D O I：
10.1016/j.amc.2022.127189
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we propose a stochastic SEIRS rabies epidemic models with two patches to investigate the spatial spread of rabies under the influence of environmental noise. Adopting a new technique to construct the stochastic Lyapunov functions, we obtain the sufficient conditions for the existence of an ergodic stationary distribution. In addition, if the movement of dogs is forbidden, we obtain the exact expression of probability density function around a quasi-equilibrium point. Finally, numerical simulations are employed to verify our analytical results and reveal the impact of stochastic perturbations on rabies transmission.(c) 2022 Elsevier Inc. All rights reserved.
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页数：23
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