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Threshold dynamics for a class of stochastic SIRS epidemic models with nonlinear incidence and Markovian switching

A. El Koufi, A. Bennar, N. Yousfi, M. Pitchaimani

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Source: Crossref

Published: Jan 1, 2021

DOI: 10.1051/mmnp/2021047

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Source abstract

In this paper, we consider a stochastic SIRS epidemic model with nonlinear incidence and Markovian switching. By using the stochastic calculus background, we establish that the stochastic threshold ℜ swt can be used to determine the compartment dynamics of the stochastic system. Some examples and numerical simulations are presented to confirm the theoretical results established in this paper.

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Threshold dynamics for a class of stochastic SIRS epidemic models with nonlinear incidence and Markovian switching — Mathematical Frontier Network