The Threshold of a Stochastic SIRS Model with Vertical Transmission and Saturated Incidence-Reference-Cited by-同舟云学术

The Threshold of a Stochastic SIRS Model with Vertical Transmission and Saturated Incidence

Published:2017 Issue: Volume:2017 Page:1-9
ISSN:1026-0226
Container-title:Discrete Dynamics in Nature and Society
language:en
Short-container-title:Discrete Dynamics in Nature and Society

Author:

Zhu Chunjuan¹^ORCID,Zeng Guangzhao¹,Sun Yufeng¹^ORCID

Affiliation:

1. School of Mathematics and Statistics, Shaoguan University, Shaoguan 512005, China

Abstract

The threshold of a stochastic SIRS model with vertical transmission and saturated incidence is investigated. If the noise is small, it is shown that the threshold of the stochastic system determines the extinction and persistence of the epidemic. In addition, we find that if the noise is large, the epidemic still prevails. Finally, numerical simulations are given to illustrate the results.

Funder

Project for Science and Technology in Shaoguan

Publisher

Hindawi Limited

Subject

Modelling and Simulation

Link

http://downloads.hindawi.com/journals/ddns/2017/5620301.pdf

Reference23 articles.

1. Qualitative analyses of communicable disease models

2. The intrinsic transmission dynamics of tuberculosis epidemics

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