Effects of two types of noise and switching on the asymptotic dynamics of an epidemic model

doi:10.1088/1674-1056/24/5/050204

Abstract This paper mainly investigates dynamics behavior of HIV (human immunodeficiency virus) infectious disease model with switching parameters, and combined bounded noise and Gaussian white noise. This model is different from existing HIV models. Based on stochastic Itô lemma and Razumikhin-type approach, some threshold conditions are established to guarantee the disease eradication or persistence. Results show that the smaller amplitude of bounded noise and R₀<1 can cause the disease to die out; the disease becomes persistent if R₀>1. Moreover, it is found that larger noise intensity suppresses the prevalence of the disease even if R₀>1. Some numerical examples are given to verify the obtained results.

Keywords: stochastic switched HIV model Razumikhin-type approach extinction permanence

Received: 27 November 2014
Revised: 05 February 2015
Accepted manuscript online:

PACS:	02.50.Fz	(Stochastic analysis)
	05.10.Gg	(Stochastic analysis methods)
	64.10.+h	(General theory of equations of state and phase equilibria)
	87.16.A-	(Theory, modeling, and simulations)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11172233, 11472212, 11272258, and 11302170) and the Natural Science and Engineering Research Council of Canada (NSERC).

Corresponding Authors: Wang Xi-Ying
E-mail: wangxiying1768@mail.nwpu.edu.cn, wangxiying668@163.com

About author: 02.50.Fz; 05.10.Gg; 64.10.+h; 87.16.A-

Cite this article:

Xu Wei (徐伟), Wang Xi-Ying (王喜英), Liu Xin-Zhi (刘新芝) Effects of two types of noise and switching on the asymptotic dynamics of an epidemic model 2015 Chin. Phys. B 24 050204

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Effects of two types of noise and switching on the asymptotic dynamics of an epidemic model

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