Analysis of a novel stochastic SIRS epidemic model with two different saturated incidence rates

Zhengbo Chang, Xinzhu Meng and Xiao Lu

Physica A: Statistical Mechanics and its Applications, 2017, vol. 472, issue C, 103-116

Abstract: This paper presents a stochastic SIRS epidemic model with two different nonlinear incidence rates and double epidemic asymmetrical hypothesis, and we devote to develop a mathematical method to obtain the threshold of the stochastic epidemic model. We firstly investigate the boundness and extinction of the stochastic system. Furthermore, we use Ito’s formula, the comparison theorem and some new inequalities techniques of stochastic differential systems to discuss persistence in mean of two diseases on three cases. The results indicate that stochastic fluctuations can suppress the disease outbreak. Finally, numerical simulations about different noise disturbance coefficients are carried out to illustrate the obtained theoretical results.

Keywords: Stochastic epidemic model; Stochastic dynamics; Ito’s formula; Nonlinear incidence rate; Persistence in mean (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (9)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:472:y:2017:i:c:p:103-116

DOI: 10.1016/j.physa.2017.01.015

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