報告人：趙洪湧教授，博導，南京航空航天大學
時間：2024年12月6日（周五），10:20-12:00
地點👴：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.
個人簡介🧝♂️：趙洪湧, 四川大學理學博士，南京大學博士後。現為南京航空航天大學教授，博士生導師,九三學社社員🧷。長期從事生物系統動力學、傳染病動力學分析與控製、時滯微分方程動力學等研究。江蘇省高校“青藍工程”優秀青年骨幹教師和中青年學術帶頭人🤡。連續七年入選愛思唯爾中國高被引學者榜單✖️，獲省自然科學優秀論文二等獎一項🧖🏻、江蘇省高校科技成果二等獎一項、獲南京航空航天大學“群星”創新獎一項，入選南京航空航天大學年度人物。國家科技部重大項目和江蘇省高校重大項目會評專家，國家自然科學基金和江蘇省自然科學基金通訊評議專家；主持完成國家自然科學基金多項，發表學術論文100多篇🕺🏽，被SCI刊物引用2000多次👩✈️。現為中國生物數學學會常務理事，江蘇省生物數學學會副理事長，TCCT隨機系統控製委員會委員🧝♂️。
歡迎廣大師生參加！