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.

引用

页数：18

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