题目：A Prey-Predator Model with Migrations and Delays

报告人：Yuan Yuan教授 (加拿大Memorial University of Newfoundland)

时间： 4月28日（星期四），下午4:00-5:00

地点：致远楼107室

袁媛教授2002获西安大略大学博士学位。自2002始任教于纽芬兰纪念大学数学与统计系，先后担任助理教授、副教授、教授。主要研究领域为生物数学、生态学、非线性动力系统、时滞微分方程等。迄今为止，袁媛教授已在SIAM J. Appl. Math.、SIAM J. Appl. Dyn. Syst.、Journal of Differential Equations、Journal of Mathematical Biology、Journal of Theoretical Biology、J. Nonlinear Science、Nonlinearity、Physica D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近五十篇,并兼任多个国际期刊编委、特邀编辑等.

报告摘要

In this talk we propose a prey-predator model in multiple patches through the stage structured maturation time delay with migrations among patches. Focus on the case with two patches, we discuss the existence of equilibrium points and the uniform persistence. In particular, when the maturation times are the same in the patches, we study the local and global attractivity of boundary equilibrium point with general

migration function and the local stability of the positive equilibrium with constant migration rate. Numerical simulations are provided to demonstrate the theoretical results, to illustrate the effect of the maturation time, the migration rate on the

dynamical behavior of the system.

欢迎各位参加！