报告题目: Global dynamics of a stochastic SIRS epidemic model with Beddington-DeAngelis incidence rate

报告摘要: In this paper, a stochastic SIRS compartmental model is formulated to investigate the transmission dynamics of infectious diseases. The model incorporates the Beddington-DeAngelis incidence rate and vaccination. For the deterministic model, the basic reproduction number R0 is derived, and the global dynamics is analyzed using the Lyapunov function in terms of R0. The results show that the basic reproduction number completely determines the global dynamics of the deterministic system. For the stochastic model, a new technique is adopted by introducing a Lyapunov exponent λ. Then, the persistence and extinction of infectious diseases are completely determined by λ. If λ < 0, then the disease will die out with probability one, while the epidemic becomes strongly stochastically permanent if λ > 0. To further substantiate our findings, numerical simulations are conducted to validate and extend the theoretical results.

报告人：邱志鹏教授, 南京理工大学

报告时间：2023年12月16日（星期六） 10:00-12:00

报告地点：ZOOM会议：6231852743

主办单位：扬州大学数学科学学院

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