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Journal Articles Discrete and Continuous Dynamical Systems - Series B Year : 2021

Stochastic and deterministic SIS patch model

Ténan Yeo
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Abstract

Here, we consider an SIS epidemic model where the individuals are distributed on several distinct patches. We construct a stochastic model and then prove that it converges to a deterministic model as the total population size tends to infinity. We next study the equilibria of the deterministic model. Our main contribution is a stability result of the endemic equilibrium in the case \begin{document}$ \mathcal{R}_0>1 $\end{document}. Finally we compare the equilibria with those of the homogeneous model, and with those of isolated patches.
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Dates and versions

hal-03663217 , version 1 (10-05-2022)

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Cite

Ténan Yeo. Stochastic and deterministic SIS patch model. Discrete and Continuous Dynamical Systems - Series B, 2021, 26 (12), pp.6173. ⟨10.3934/dcdsb.2021012⟩. ⟨hal-03663217⟩

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