主講人：范桂紅 哥倫布州立大學(xué)副教授

時(shí)間：2022年10月14日9：00

地點(diǎn)：騰訊會(huì)議 478 127 447

舉辦單位：數(shù)理學(xué)院

主講人介紹：范桂紅，分別于2004年和2009從加拿大麥克馬斯特大學(xué)（McMaster University）獲得應(yīng)用數(shù)學(xué)碩士學(xué)位和理學(xué)博士學(xué)位。于2009年2月至2011年8月在約克大學(xué)（York University）做博士后，在2011年9月到2013年6月在亞利桑那州立大學(xué)（Arizona State University）做訪(fǎng)問(wèn)助理教授（Visiting Assistant Professor). 從2013年7月起，任教于美國(guó)哥倫布州立大學(xué)?，F(xiàn)為該校數(shù)學(xué)系副教授和系主任。主要研究興趣為泛函微分方程理論及其在生物數(shù)學(xué)中的應(yīng)用。特別是時(shí)間滯后系統(tǒng)在媒介傳播疾病中的建模，理論分析，及其優(yōu)化控制。具體的研究課題包括以蚊子為媒介的西尼羅病的傳播及其預(yù)防，以蜱蟲(chóng)為媒介的萊姆病在全球暖化下的影響。在國(guó)際刊物發(fā)表論文三十余篇。多次受邀在微分方程方向的重要國(guó)際會(huì)議作學(xué)術(shù)報(bào)告。

內(nèi)容介紹：Vector borne disease is a type of disease which is spread by vectors like mosquitoes or ticks and can infect human beings. Typical vector borne-disease includes West Nile virus, Lyme disease, and malaria etc. In this talk, we will talk about the modeling study of West Nile virus and Lyme disease using delay differential equations. We used delay as our bifurcating parameters in both systems we proposed and found interesting bifurcation results in both models including period doubling bifurcation, and fold bifurcation of period solutions as well as the existence of a bi-stability in the form of a boundary periodic solution and a positive periodic solution. For the tick’s model, we obtained the global bifurcation of the system using delay as the bifurcation parameters. The investigation on the complexity of the dynamical system offers a potential pathway to reveal the even more complicated transmission dynamics of vector-borne disease in reality. At the end, I will briefly introduce our recently finished modeling work on CORVID-19.