Spatiotemporal patterns of a diffusive prey-predator model with spatial memory and pregnancy period

主讲人：原三领 上海理工大学教授

时间：2022年11月14日19：00

地点：腾讯会议 917 416 631

举办单位：数理学院

主讲人介绍：原三领，教授，博士生导师，上海理工大学应用数学学科负责人，中国数学会生物数学学会常务理事，美国《Mathematical Reviews》评论员。研究方向为：微分方程与动力系统、生物数学。曾先后主持多项国家自然科学基金面上项目和上海市项目的研究工作。研究内容涉及微分方程与动力系统、种群动力学、流行病动力学、海洋生态学以及生物化学工程等诸多领域，具有多学科交叉的特点。曾多次受邀到国内和国际多所高校进行合作研究和学术交流。已在Journal of Mathematical Biology、Journal of Differential Equations、Journal of Nonlinear Sciences、Bulletin of Mathematical Biology、Journal of Theoretical Biology等国内外重要学术刊物上发表SCI论文100余篇。

内容介绍：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.