讲座题目：Dynamics of a predator-prey system with resource-limited growth in prey and foraging facilitation in predators

讲座专家：邹兰（四川大学副教授）

讲座对象：学院教师、硕士生

讲座时间：2021年7月27日晚上6:00-8:00

讲座地点：数学与统计学院3304教室

内容摘要：The work was motivated by the ecosystem including the Tibetan antelope (Pantholops hodgsonii) and grey wolf (Canis lupus) in the Sanjiangyuan Natinal Park in China. We consider the Tibetan antelope with resource-limited growth and foraging facilitation among wolves. It is shown that there are a weak focus of multiplicity 3 and a cusp of codimension 4 for various parameter values and the system can exhibit various bifurcations as the parameter values vary, such as saddle-node, transcritical, pitchfork, Hopf and Bogdanov-Takens bifurcations. The comparative study shows that these dynamics and bifurcations are far richer than that of the system without foraging facilitation among predators or with logistic growth for prey. The analysis results reveal that more available resources and appropriate intensity of foraging facilitation are beneficial for predator population persistence and promote ecosystem diversity.

专家简介：邹兰，四川大学数学学院副教授。2010年6月在四川大学获理学博士学位。曾分别于2008年和2013年访问美国迈阿密大学数学系。目前研究方向为微分方程与动力系统、生物数学，特别关注传染病动力学模型、微分方程的分岔问题等。先后主持国家自然科学基金青年基金、面上基金，参与国家自然科学基金重点基金一项。