含Ornstein-Uhlenbeck过程的随机SIS传染病模型

doi:10.16088/j.issn.1001-6600.2020.04.009

Abstract

Abstract: A class of stochastic SIS epidemic model incorporating mean-reverting Ornstein-Uhlenbeck process is investigated. Sufficient conditions for the extinction and permanence of the system are established. The threshold which determines the disease will die out or not is obtained. When R^s₀<1, the disease will extinct. While when R^s₀>1, the disease will persist. It is found that smaller speed of reversion or bigger intensity of volatility can suppress the disease outbreak. The conclusions are simulated through the numerical method.

Key words: Ornstein-Uhlenbeck process, basic reproduction number, extinction, persistence

CLC Number:

O211.63

LI Shuyi, WEI Yuming, PENG Huaqin. A Stochastic SIS Epidemic Model with Ornstein-Uhlenbeck Process[J].Journal of Guangxi Normal University(Natural Science Edition), 2020, 38(4): 74-81.

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A Stochastic SIS Epidemic Model with Ornstein-Uhlenbeck Process

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