Threshold Dynamics of a Stochastic SIR Model with Vertical Transmission and Vaccination-Reference-Cited by-同舟云学术

Threshold Dynamics of a Stochastic SIR Model with Vertical Transmission and Vaccination

Published:2017 Issue: Volume:2017 Page:1-10
ISSN:1748-670X
Container-title:Computational and Mathematical Methods in Medicine
language:en
Short-container-title:Computational and Mathematical Methods in Medicine

Author:

Miao Anqi¹,Zhang Jian¹,Zhang Tongqian¹²^ORCID,Pradeep B. G. Sampath Aruna³

Affiliation:

1. College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China

2. State Key Laboratory of Mining Disaster Prevention and Control Co-Founded by Shandong Province and the Ministry of Science and Technology, Shandong University of Science and Technology, Qingdao 266590, China

3. Department of Mathematics, University of Ruhuna, 81000 Matara, Sri Lanka

Abstract

A stochastic SIR model with vertical transmission and vaccination is proposed and investigated in this paper. The threshold dynamics are explored when the noise is small. The conditions for the extinction or persistence of infectious diseases are deduced. Our results show that large noise can lead to the extinction of infectious diseases which is conducive to epidemic diseases control.

Funder

Natural Science Foundation of Shandong Province

Publisher

Hindawi Limited

Subject

Applied Mathematics,General Immunology and Microbiology,General Biochemistry, Genetics and Molecular Biology,Modeling and Simulation,General Medicine

Link

http://downloads.hindawi.com/journals/cmmm/2017/4820183.pdf

Reference81 articles.

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