报告题目：Dynamics of a reaction-diffusion dengue disease model with spatial heterogeneity and general incidence

报告人：赵洪涌

报告时间：2023年11月25日（周六）09:30开始

报告地点：数学楼315会议室

报告摘要：In this talk,we formulate a reaction-diffusion dengue disease model with spatial heterogeneity and general incidence. The global existence and ultimate boundedness of solutions are discussed, and threshold dynamics of the model with respect to the basic reproduction number R0 are analyzed. In the case where the model is spatially homogeneous, the global asymptotic stability of the endemic equilibrium is proved when R0 > 1 by constructing a Lyapunov functional and employing the LaSalle’s invariance principle. Furthermore, we establish the asymptotic profiles and monotonicity of R0 with respect to heterogeneous diffusion rates. Numerically, the proposed model is applied to dengue transmission. We analyze the sensitivity of R0 to model parameters, and explore the impacts of temperature and diffusion rates on R0 and disease dynamics, which provide valuable information for formulating targeted measures for the dengue prevention and control.

报告人简介：赵洪涌,南京航空航天大学教授，博士生导师,九三学社社员。长期从事生物系统动力学、传染病动力学分析与控制、时滞微分方程动力学等研究。江苏省高校“青蓝工程”优秀青年骨干教师和中青年学术带头人。2014年至2022年，连续九年入选爱思唯尔中国高被引学者榜单。国家科技部重大项目和江苏省高校重大项目会评专家，国家自然科学基金和江苏省自然科学基金通讯评议专家；主持完成和在研国家自然科学基金四项。在国际SCI杂志上发表学术论文一百余篇，被SCI刊物引用二千余次。现为中国数学会生物数学专委会常务理事，江苏省生物数学学会副理事长。