具有双疾病的随机SIRS传染病模型的灭绝性与持久性分析

doi:10.16088/j.issn.1001-6600.2020.02.017

Abstract

Abstract: In this paper, a stochastic SIRS epidemic model with saturated incidence rate and double epidemic hypothesis is investigated. By constructing suitable Lyapunov function and applying Itô formula, the global existence and uniqueness of positive solution are proved, and the random basic reproductive number which determines disease extinction and persistence under certain conditions is obtained. The influence of disease is also discussed when the environment changes. The results show that the intensity of white noise suppresses the outbreak of the disease under certain conditions.The conclusions are simulated through the numerical method.

Key words: stochasticbasicreproductionnumber, doubleepidemichypothesis, extinction, persistence

CLC Number:

O211.63

LI Haiyan, WEI Yuming, PENG Huaqin. Persistence and Extinction of a Stochastic SIRS EpidemicModel with Double Epidemic Hypothesis[J].Journal of Guangxi Normal University(Natural Science Edition), 2020, 38(2): 144-155.

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Persistence and Extinction of a Stochastic SIRS EpidemicModel with Double Epidemic Hypothesis

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