讲座内容简介：In this talk, I will present a novel mathematical model that couples a competition model with an intraguild predation model via dispersal of intraguild prey driven by intraguild predator-avoidance. We show that a large dispersal rate would lead to the collapse of species coexistence, which is consistent with the reported experimental results. In addition, we show that three modes of species coexistence are possible when the intraguild prey dispersal rate is not too large. Moreover, for a certain range of dispersal rates, a stable interior equilibrium can coexist with a stable positive limit cycle.

讲座人简介：

Lin Wang教授于2003年在加拿大纽芬兰大学数学系获博士学位；2003-2007年先后在加拿大McMaster大学、British Columbia大学、Victoria大学从事博士后研究工作，自2007年至今在加拿大New Brunswick大学工作，现任New Brunswick大学教授。主要研究领域包括微分方程、动力系统以及在生物学、生态学、流行病学、神经科学等领域的应用。Lin Wang教授在JMPA, SIAM J. Appl. Math.、JDE、JMB、JTB、Mathematical Biosciences等国际应用数学以及微分方程、生物数学领域top期刊上发表学术论文80余篇。主持多项加拿大国家自然科学科研项目。