报告人：赵洪涌教授，博导，南京航空航天大学
时间：2024年12月6日（周五），10:20-12:00
地点：1C207
摘要： 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.
个人简介：赵洪涌, 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。连续七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、江苏省高校科技成果二等奖一项、获南京航空航天大学“群星”创新奖一项，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，国家自然科学基金和江苏省自然科学基金通讯评议专家；主持完成国家自然科学基金多项，发表学术论文100多篇，被SCI刊物引用2000多次。现为中国生物数学学会常务理事，江苏省生物数学学会副理事长，TCCT随机系统控制委员会委员。
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