题    目：The effects of saturated treatment and natural recovery category in malaria dynamics

主讲人：赵洪涌 教授

单    位：南京航空航天大学

时    间：2025年4月12日 9:00

地    点：数学院二楼会议室

摘    要：In this talk, we consider the effects of saturated treatment and natural recovery category. Specially, our concern is whether the infectivity of natural recovery category can be ignored in areas with limited medical resources, so as to reveal the epidemic pattern of malaria with simpler analysis. To achieve this, we incorporate saturated treatment into two-compartment and three-compartment models, and the infectivity of natural recovery category is only reflected in the latter. The non-spatial model can admit backward bifurcation. Its spatial version does not possess rich dynamics. Besides, the non-spatial three-compartment model can undergo backward bifurcation, Hopf bifurcation and Bogdanov–Takens bifurcation. For spatial model, the model exhibits Turing instability, Hopf bifurcation and Turing–Hopf bifurcation. This makes the model may admit bistability or even tristability when its basic reproduction number less than one. Biologically, malaria may present a variety of epidemic trends, such as elimination or inhomogeneous distribution in space and periodic fluctuation in time of infectious populations.

简    介：赵洪涌, 南京航空航天大学二级教授，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. 入选江苏省高校“青蓝工程”优秀青年骨干教师和中青年学术带头人. 2014年至2023年，连续十一年入选爱思唯尔中国高被引学者榜单. 主持省和国家自然科学基金面上项目多项. 获省自然科学优秀论文二等奖一项、省教育科学研究成果二等奖一项. 2016年入选南京航空航天大学年度人物.国家科技部重大项目和江苏省高校重大项目会评专家. 在Journal of Differential Equations、Journal of Dynamics and Differential Equations、Journal of Mathematical Biology、Journal of Theoretical Biology、Bulletin of Mathematical Biology、 Mathematical Biosciences、Journal of Nonlinear Science、Chaos等国际重要期刊上发表学术论文一百四十余篇，被SCI刊物引用三千余次.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.