Extinction and stationary distribution of an epidemic model with partial vaccination and nonlinear incidence rate

被引：6

作者：

Wei, Fengying ^{[1
,2
]}

Chen, Lihong ^{[1
]}

机构：

[1] Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350116, Peoples R China

[2] Fuzhou Univ, Key Lab Operat Res & Control Univ Fujian, Fuzhou 350116, Peoples R China

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2020年 / 545卷

基金：

中国国家自然科学基金;

关键词：

Epidemic model; Nonlinear incidence rate; Partial vaccination; Independent Gaussian white noise; Stationary distribution; THRESHOLD; PERSISTENCE;

D O I：

10.1016/j.physa.2019.122852

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A stochastic susceptible-infected-vaccinated model with a general incidence rate and varying population size is considered in this paper. By means of constructing a suitable Lyapunov function, the sufficient conditions for the extinction are derived. Further, some conditions that guarantee the existence of a unique stationary distribution is obtained. The main results are illustrated by computer simulations. (C) 2019 Elsevier B.V. All rights reserved.

引用

页数：10

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