报告题目：The role of natural recovery category in malaria dynamics under saturated treatment

报告人：赵洪涌，南京航空航天大学教授，博士生导师。

四川大学理学博士，南京大学博士后。现为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.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，连续十年入选爱思唯尔中国高被引学者榜单。获省自然科学优秀论文二等奖一项、江苏省教育科学研究成果二等奖一项、获南京航空航天大学“群星”创新奖一项。2016年入选南京航空航天大学年度人物。发表学术论文一百四十余篇，被SCI刊物引用三千余次。主持省部级和国家基金多项。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。

报告简介； In this talk, 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 two-compartment 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 three-compartment model, due to the complexity of characteristic equation, we apply Shengjin’s Distinguishing Means to realize stability analysis. Further, 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.

报告时间：2024年10月30日 15:30

报告地点：瘦西湖校区56号楼208会议室

主办单位：数学科学学院

联系人：林支桂

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