报告题目：Bifurcation and parameter estimation for a model of bacterial-plasmid interaction with impulsive drug treatment
报 告 人：赵中
报告时间：2023年5月19日19:00-21:00
报告地点：数学与统计学院3401教室
报告摘要：In this paper, a mathematical model of bacterial resistance caused by plasmids and mutations in the presence of discontinuous antibiotic inputs is developed. First, threshold conditions for bacterial-plasmid extinction and uniform persistence are obtained using the Floquet theory and the impulsive comparison theorem. Conditions for the existence of bifurcation of a nontrivial periodic solution of the system are obtained in terms of the theory of impulsive bifurcations. Furthermore, we apply our model to simulate four cases of bacterial culture medium data and obtain a good imitative effect. Next, global sensitivity analysis of the R0 is performed to obtain the parameters that have a large impact on the system. Finally, numerical simulations demonstrate the accuracy of the theory.
报告人简介：赵中，黄淮学院数学与统计学院院长、博士、教授，2016年2月-2016年8月,受国家留学基金委资助赴加拿大约克大学访学。先后被评为河南省特聘教授、省级重点学科“应用数学”学科带头人、河南省青年骨干教师、河南省高校科技创新人才、美国《数学评论》评论员、中国生物数学学会理事。主要从事生物数学、微分方程动力系统的研究，主持完成国家基金2项，在研国家基金面上项目1项。