时间：2020年11月2日(周一)上午10点

地点：勤园21号楼306学术报告厅

主讲人：王金凤教授，哈尔滨师范大学数学科学学院教授、黑龙江省高校青年学术骨干，黑龙江省数学会理事。 主要从事微分方程、动力系统定性理论及应用的研究工作，已在J.Diff.Equ.、J.Dyn.Diff.Equ.、,J.Math.Biol.、DCDS-B等国际主流学术期刊上发表SCI学术论文20余篇，研究工作多次受到国家自然科学基金、黑龙江省自然科学基金的资助。

内容简介：A reaction-diffusion-advection equation with strong Allee effect growth rate is proposed to model a single species stream population in a unidirectional flow. Here random undirected movement of individuals in the environment is described by passive diffusion, and an advective term is used to describe the directed movement in a river caused by the flow. Under biologically reasonable boundary conditions, the existence of multiple positive steady states is shown when both the diffusion coefficient and the advection rate are small, which lead to different asymptotic behavior for different initial conditions. On the other hand, when the advection rate is large, the population becomes extinct regardless of initial condition under most boundary conditions. It is shown that the population persistence or extinction depends on Allee threshold, advection rate, diffusion coefficient and initial conditions, and there is also rich transient dynamical behavior before the eventual population persistence or extinction.