应兰州大学数学与统计学院王宾国教授的邀请,四川大学邹兰副教授将于2021年4月22日到4月23日访问兰州大学,期间将举办专题学术报告.

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

主讲人：邹兰副教授

时  间：2021年4月23日 星期五16:00-17:00

地  点：理工楼401

报告摘要：

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 Smith growth and foraging facilitation among wolves. It is shown that there is 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.

简 介

邹兰,四川大学数学学院副教授.2008年前往美国佛罗里达州迈阿密大学数学系作为联合培养博士生跟随阮士贵教授进行学习.2010年6月在四川大学获理学博士学位,并留校任教.研究方向为微分方程与动力系统、生物数学.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.

甘肃省高校应用数学与复杂系统省级重点实验室

数学与统计学院

2021年4月21日