Dynamics of a predator-prey model with time delay and fear effect

发布时间：2023-06-06 作者：浏览次数：

Speaker:	苏颖副教授	DateTime:	2023年6月8日下午15:30-16:30
Brief Introduction to Speaker: 苏颖，本科毕业于吉林大学，2011年于哈尔滨工业大学毕业并获得博士学位，2009-2010年作为联合培养博士生访问University of Miami，2011-2013年在University of Western Ontario进行博士后研究，现任哈尔滨工业大学数学学院副教授、博士生导师。研究领域为微分方程与动力系统。在JDE,JDDE,JMB 等杂志发表多篇论文，主持和参加多个国家自然科学基金项目，现主持一项国家自然科学基金面上项目，曾获教育部高等学校科学研究优秀成果二等奖（第二完成人）。		Place:	腾讯会议：561-832-637
Abstract:In recent studies for modelling of predator-prey populations, fear effect is often considered as an important factor. In this talk, taking the maturation period of prey into account, we proposed a predator-prey model with time delay and fear effect. The stability of the equilibria, uniform persistence of the model and Hopf bifurcations are studied. In particular, the global Hopf bifurcations are investigated by numerical simulations. It turns out that both stable and unstable periodic solutions may disappear as time delay increases. Our results suggest that the maturation period has an important effect that a moderate length of maturation period is helpful for the population coexistence. This talk is based on a joint work with Xiaoke Ma and Xingfu Zou.