A Markovian regime-switching stochastic SEQIR epidemic model with governmental policy
Probability
2024-02-27 v1 Dynamical Systems
Abstract
In this paper, a stochastic SEQIR epidemic model with Markovian regime-switching is proposed and investigated. The governmental policy and implement efficiency are concerned by a generalized incidence function of the susceptible class. We have the existence and uniqueness of the globally positive solution to the stochastic model by using the Lyapunov method. In addition, we study the dynamical behaviors of the disease, and the sufficient conditions for the extinction and persistence in mean are obtained. Finally, numerical simulations are introduced to demonstrate the theoretical results.
Keywords
Cite
@article{arxiv.2402.15970,
title = {A Markovian regime-switching stochastic SEQIR epidemic model with governmental policy},
author = {Hongjie Fan and Kai Wang and Yanling Zhu},
journal= {arXiv preprint arXiv:2402.15970},
year = {2024}
}
Comments
14pages,5 figures, references 22