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

报告人：邱志鹏

报告时间：2023年11月25日（周六）10:30开始

报告地点：数学楼315会议室

报告摘要：In this paper, a stochastic SIRS compartmental model is fomulated 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.

报告人简介：邱志鹏，南京理工大学数学与统计学院教授、博士生导师、江阴校区基础教学与实验中心主任。主要从事常微分方程、动力系统与生物数学的研究工作，正在或完成主持国家自然科学基金4项，国家自然科学基金国际合作基金1项，教育部留学回国基金1项，参加国家自然科学基金面上项目2项和江苏省自然科学基金青年项目1项，目前已在Bull. Math. Biol., Math. Biosci., J. Diff. Equs., SIAM J. Appl. Math., J. Math. Biol., J. Theor. Biol.等期刊上发表论文60余篇，曾先后访问过美国Purdue大学、Florida大学，意大利Trento大学、加拿大York大学和Alberta大学。