講座題目：Dynamics of a predator-prey system with resource-limited growth in prey and foraging facilitation in predators

講座專家：鄒蘭（四川大學(xué)副教授）

講座對象：學(xué)院教師、碩士生

講座時間：2021年7月27日晚上6:00-8:00

講座地點：數(shù)學(xué)與統(tǒng)計學(xué)院3304教室

內(nèi)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.

專家簡介：鄒蘭,，四川大學(xué)數(shù)學(xué)學(xué)院副教授,。2010年6月在四川大學(xué)獲理學(xué)博士學(xué)位。曾分別于2008年和2013年訪問美國邁阿密大學(xué)數(shù)學(xué)系,。目前研究方向為微分方程與動力系統(tǒng),、生物數(shù)學(xué)，特別關(guān)注傳染病動力學(xué)模型,、微分方程的分岔問題等,。先后主持國家自然科學(xué)基金青年基金、面上基金,，參與國家自然科學(xué)基金重點基金一項,。