Nontrivial periodic solution of a stochastic seasonal rabies epidemic model

被引：2
|
作者：
Cao, Zhongwei [1 ]
Feng, Wei [2 ]
Wen, Xiangdan [3 ]
Zu, Li [4 ]
Gao, Jinyao [5 ]
机构：
[1] Jilin Univ Finance & Econ, Dept Appl Math, Changchun 130117, Jilin, Peoples R China
[2] Jilin Univ, Dept Anesthesiol, China Japan Union Hosp, Changchun 130033, Jilin, Peoples R China
[3] Yanbian Univ, Dept Math, Yanji 133002, Jilin, Peoples R China
[4] Hainan Normal Univ, Coll Math & Stat, Haikou 571158, Hainan, Peoples R China
[5] Jilin Univ Finance & Econ, Coll Accounting, Changchun 130117, Jilin, Peoples R China
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2020年 / 545卷
基金：
海南省自然科学基金;
关键词：
Rabies; Stochastic SEIRS epidemic model; Stochastic periodic solution; Vaccination; Lyapunov function; NONLINEAR INCIDENCE; DYNAMICS; SIR; EXTINCTION; RACCOONS;
D O I：
10.1016/j.physa.2019.123361
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we consider a stochastic nonautonomous rabies epidemic model. By using Khasminskii's theory of periodic solutions and constructing a suitable stochastic Lyapunov function, we show that the stochastic nonautonomous epidemic model admits at least one nontrivial positive T-periodic solution under certain condition. (C) 2019 Published by Elsevier B.V.
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收藏
页数：18
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