题目：Dynamics for the diffusive Leslie-Gower model with double free boundaries

摘要: In this talk we consider a free boundary problem for the Leslie-Gower prey-predator model with double free boundaries in one space dimension. This system models the expanding of an invasive or new predator species in which the free boundaries represent expanding fronts of the predator species. We first prove the existence, uniqueness and regularity of global solution. Then provide a spreading-vanishing dichotomy, namely the predator species either successfully spreads to infinity as $t\to\infty$ at both fronts and survives in the new environment, or it spreads within a bounded area and dies out in the long run while the prey species stabilizes at a positive equilibrium state. The criteria for spreading and vanishing are also obtained. Because the term $v/u$ (which appears in the second equation) may be unbounded when $u$ nears zero, it will bring some difficulties in the study.

报 告 人：王明新 教授、博导 哈尔滨工业大学

报告时间：2017年5月27日（星期六）10：30~11：15

报告地点：瘦西湖校区38号楼108室报告厅

主办单位：数学科学学院