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

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.

Keywords:

• Double epidemic hypothesis
• time delay
• saturated incidence rate
• asymptotic properties
• persistence in mean

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by the Project of Shandong Province Higher Education Science and Technology Program (No. J18KA227).