Asymptotic properties of a stochastic SIQR epidemic model with Levy Jumps and Beddington-DeAngelis incidence rate

In this paper, we propose a stochastic SIQR model and discuss the impact of Levy jumps and Beddington-DeAngelis incidence rate on the transmission of diseases. We prove that our proposed model admits a unique global positive solution and an invariant positive set. We establish sufficient conditions for the extinction and persistence of the disease in the population using some stochastic calculus background. We illustrate our theoretical results by numerical simulations. We infer that the white and Levy noises influence the transmission dynamic of the system.

Automated summary

In this paper, a stochastic SIQR model is proposed to study the impact of Levy jumps and Beddington-DeAngelis incidence rate on disease transmission. The theoretical results are illustrated through numerical simulations, indicating that white and Levy noises influence the transmission dynamics of the system.