Dynamics of a delayed stochastic epidemic model with double epidemic hypothesis and saturated incidence

Hengqian Li and Xiurong Guo

Computer Methods in Biomechanics and Biomedical Engineering, 2023, vol. 26, issue 11, 1250-1271

Abstract: This article explores a delayed stochastic epidemic model with double epidemic hypothesis and saturated incidence. First, we give some preliminaries of the epidemic system. Second, by building Lyapunov functions and utilizing inequalities, we study the asymptotic properties of the delayed stochastic system around each equilibrium point. Furthermore, we prove the persistence in mean of the epidemic system. In the end, several numerical simulations are presented to show that stochastic disturbance and time delay can impact the dynamics of the epidemic system.

Date: 2023
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DOI: 10.1080/10255842.2022.2113391

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