主講人：衣鳳岐 大連理工大學(xué)教授

時(shí)間：2023年5月19日9：00

地點(diǎn)：騰訊會(huì)議 709 765 165

舉辦單位：數(shù)理學(xué)院

主講人介紹：衣鳳岐，教授、博士生導(dǎo)師?，F(xiàn)任職于大連理工大學(xué)數(shù)學(xué)科學(xué)學(xué)院，主要從事微分方程與動(dòng)力系統(tǒng)的研究，特別關(guān)注反應(yīng)擴(kuò)散系統(tǒng)的分支理論及其應(yīng)用。2008年獲哈爾濱工業(yè)大學(xué)基礎(chǔ)數(shù)學(xué)專(zhuān)業(yè)博士學(xué)位。2010年博士學(xué)位論文獲得全國(guó)優(yōu)秀博士學(xué)位論文提名論文；2014年主持的科研項(xiàng)目獲得黑龍江省科學(xué)技術(shù)獎(jiǎng)二等獎(jiǎng)；2020年，入選大連市地方級(jí)領(lǐng)軍人才。

內(nèi)容介紹：In this talk, I will report our recent works on the dynamics of a reaction-diffusion SIR rabies model which was used to describe the population dynamics of fox rabies. Stability and instability of the endemic equilibrium solutions are discussed in great details. It is shown that with the increase of the carrying capacity, the stability of the endemic equilibirum solution changes; This instability leads to the emergence of Hopf bifurcations; This suggests that the rabies disease may appear periodically via Hopf bifurcations; In particular, Turing instability of both the endemic equilibrium solution and the Hopf bifurcating periodic solutions are also investigated. This talk is based on the joint works with Gaoyang She.