学术动态

【学术讲座-第55期“相约星期五”学术沙龙】Dynamical analysis of a degenerate and time delayed virus infection model with spatial heterogeneity

发布日期:2025-03-18 15:48:49   来源:统计与数学学院   点击量:

报告主题:Dynamical analysis of a degenerate and time delayed virus infection model with spatial heterogeneity

时间:202532113:00-13:45

地点:腾讯会议 会议号:968 2605 9049 密码:6666

报告人:杨瑜

 

报告内容简介:

In this talk, a degenerate and time delayed virus infection model with spatial heterogeneity and general incidence is investigated. The well-posedness of the system, including global existence, uniqueness and ultimately boundedness of the solutions, as well as the existence of a global attractor, is discussed. The basic reproduction number   is defined and a characterization of   is presented. Without the compactness of the solution semiflow, we establish the global dynamics of the system based on  . In addition, when the system is spatially homogeneous, the unique infection steady state is globally asymptotically stable. Simulations are presented to illustrate our theoretical results.

 

主讲人简介:

杨瑜,上海立信会计金融学院统计与数学学院教授,上海交通大学理学博士。主要从事微分方程与动力系统及其应用的研究。在Mathematical BiosciencesJournal of Nonlinear ScienceStudies in Applied MathematicsProceedings of the American Mathematical SocietyZeitschrift für angewandte Mathematik und PhysikJournal of Evolution Equations等期刊发表学术论文。

 

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