Author: El Koufi, A.; Bennar, A.; El Koufi, N.; Yousfi, N.
Title: Asymptotic properties of a stochastic SIQR epidemic model with Levy Jumps and Beddington-DeAngelis incidence rate Cord-id: wjml74rd Document date: 2021_1_1
ID: wjml74rd
Snippet: 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 a
Document: 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.
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