MODELING THE DYNAMICS OF STOCHASTIC NOROVIRUS EPIDEMIC MODEL WITH TIME DELAY

Ye Wang, Thabet Abdeljawad and Anwarud Din
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Ye Wang: Department of Mathematics, Huzhou University, Huzhou 313000, P. R. China2Institute for Advanced Study Honoring Chen Jian Gong, Hangzhou Normal University, Hangzhou 311121, P. R. China
Thabet Abdeljawad: Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia4China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
Anwarud Din: Department of Mathematics, Sun Yat-Sen University, Guangzhou 510275, P. R. China

FRACTALS (fractals), 2022, vol. 30, issue 05, 1-13

Abstract: In this work, we study the norovirus (NoV) epidemic model with random perturbations and a time delay. First of all, the existence and uniqueness of the global positive solution are obtained. Then, we derive sufficient conditions for the extinction of the disease. Moreover, by establishing appropriate Lyapunov function, the existence of a stationary distribution is discussed. Some numerical simulations are given to illustrate our analytical results.

Keywords: Stochastic NoV Model; Brownian Motion; Time Delay; Cross-Immunity; Extinction; Stationary Distribution (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22401508

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