主講人：原三領(lǐng) 上海理工大學(xué)教授

時(shí)間：2022年11月14日19：00

地點(diǎn)：騰訊會(huì)議 917 416 631

舉辦單位：數(shù)理學(xué)院

主講人介紹：原三領(lǐng)，教授，博士生導(dǎo)師，上海理工大學(xué)應(yīng)用數(shù)學(xué)學(xué)科負(fù)責(zé)人，中國(guó)數(shù)學(xué)會(huì)生物數(shù)學(xué)學(xué)會(huì)常務(wù)理事，美國(guó)《Mathematical Reviews》評(píng)論員。研究方向?yàn)椋何⒎址匠膛c動(dòng)力系統(tǒng)、生物數(shù)學(xué)。曾先后主持多項(xiàng)國(guó)家自然科學(xué)基金面上項(xiàng)目和上海市項(xiàng)目的研究工作。研究?jī)?nèi)容涉及微分方程與動(dòng)力系統(tǒng)、種群動(dòng)力學(xué)、流行病動(dòng)力學(xué)、海洋生態(tài)學(xué)以及生物化學(xué)工程等諸多領(lǐng)域，具有多學(xué)科交叉的特點(diǎn)。曾多次受邀到國(guó)內(nèi)和國(guó)際多所高校進(jìn)行合作研究和學(xué)術(shù)交流。已在Journal of Mathematical Biology、Journal of Differential Equations、Journal of Nonlinear Sciences、Bulletin of Mathematical Biology、Journal of Theoretical Biology等國(guó)內(nèi)外重要學(xué)術(shù)刊物上發(fā)表SCI論文100余篇。

內(nèi)容介紹：Spatial memory and predator-induced fear have recently been considered in modeling population dynamics of animals independently. This paper is the first to integrate both aspects in a prey-predator model with pregnancy cycle to investigate the direct and indirect effects of predation on the spatial distribution of prey. We extensively study Turing instability and Hopf bifurcation. When the prey population has slow memory-based diffusion, the model is easier to generate Turing patterns. While when the prey population has fast memory-based diffusion, the model can exhibit rich dynamics. Our findings indicate that both spatial memory and pregnancy cycle play significant roles in the pattern formation of prey-predator interactions.