應(yīng)yl7703永利官網(wǎng)林國教授邀請，上海理工大學理學院原三領(lǐng)教授將于2021年4月24日-25日與我校有關(guān)師生進行學術(shù)研討，其中4月25日下午舉行公開學術(shù)報告。

報告題目：Complex dynamics of a predator-prey system with herd and schooling behavior: with or without delay and diffusion

時 間：4月25日（星期日）下午16：00.

地點：理工樓631

歡迎廣大師生光臨!

報告摘要：This talk is mainly about the dynamics of a predator-prey system incorporating a new type functional response function accounting for both the herd behavior for prey and the schooling behavior for predator. In the absence of spatial diffusion and time delay, we investigate the existence of extinction region and the stability of all feasible nonnegative equilibria, obtain conditions under which the system undergoes saddle-node, Hopf and Bogdanov-Takens types of bifurcations. For the spatiotemporal system, we investigate the existence of Hopf bifurcation induced by time delay near one of the positive equilibria and derive conditions for determining the property of the bifurcating periodic solution by using the normal form theory and center manifold reduction. Further, we investigate the effects of time delay or/and diffusion on the dynamics of the system, and the results show that both time delay and spatial diffusion play significant roles in determining the dynamics of the system.

原三領(lǐng)教授簡介

原三領(lǐng)，教授，博士生導師，上海理工大學應(yīng)用數(shù)學學科負責人，中國數(shù)學會生物數(shù)學學會常務(wù)理事，美國《Mathematical Reviews》評論員。研究方向為：微分方程與動力系統(tǒng)、生物數(shù)學。曾先后主持4項國家自然科學基金面上項目、3項上海市教委項目的研究工作。研究內(nèi)容涉及微分方程與動力系統(tǒng)、種群動力學、流行病動力學、海洋生態(tài)學以及生物化學工程等諸多領(lǐng)域，具有多學科交叉的特點。曾多次受邀到國內(nèi)和國際多所高校進行合作研究和學術(shù)交流。已在Journal of Differential Equations、Journal of Mathematical Biology、Bulletin of Mathematical Biology、Journal of Theoretical Biology等國內(nèi)外重要學術(shù)刊物上發(fā)表SCI論文90余篇。

甘肅省高校應(yīng)用數(shù)學與復雜系統(tǒng)省級重點實驗室

yl7703永利官網(wǎng)

萃英學院

2021年4月22日