The threshold of a stochastic SIS epidemic model with imperfect vaccination

被引：27

作者：

Liu, Qun ^{[1
,2
]}

Jiang, Daqing ^{[1
,3
,4
]}

Shi, Ningzhong ^{[1
]}

Hayat, Tasawar ^{[3
,5
]}

Alsaedi, Ahmed ^{[3
]}

机构：

[1] Northeast Normal Univ, Key Lab Appl Stat MOE, Sch Math & Stat, Changchun 130024, Jilin, Peoples R China

[2] Yulin Normal Univ, Guangxi Coll & Univ, Sch Math & Stat, Key Lab Complex Syst Optimizat & Big Data Proc, Yulin 537000, Guangxi, Peoples R China

[3] King Abdulaziz Univ, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, Fac Sci, Jeddah 121589, Saudi Arabia

[4] China Univ Petr East China, Coll Sci, Qingdao 266580, Shandong, Peoples R China

[5] Quaid I Azam Univ, Dept Math, Islamabad 44000, Pakistan

来源：

MATHEMATICS AND COMPUTERS IN SIMULATION | 2018年 / 144卷

关键词：

Stochastic SIS epidemic model; Imperfect vaccination; Threshold; Persistence in the mean; Extinction; BACKWARD BIFURCATION; SATURATED INCIDENCE; DYNAMICS; STABILITY; STRATEGY; PERTURBATION; EXTINCTION;

D O I：

10.1016/j.matcom.2017.06.004

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, we analyze the threshold R-v(S) of a stochastic SIS epidemic model with partially protective vaccination of efficacy e is an element of [0, 1]. Firstly, we show that there exists a unique global positive solution of the stochastic system. Then R-v(S) > 1 is verified to be sufficient for persistence in the mean of the system. Furthermore, three conditions for the disease to die out are given, which improve the previously-known results on extinction of the disease. We also obtain that large noise will exponentially suppress the disease from persisting regardless of the value of the basic reproduction number R-v(S). (C) 2017 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V.All rights reserved.

引用

页码：78 / 90

页数：13

共 30 条

[1] Global results for an epidemic model with vaccination that exhibits backward bifurcation [J].