学术报告

A Free Boundary Problem for the Prey-predator Model with Different Free Boundaries

  题目:A Free Boundary Problem for the Prey-predator Model with Different Free Boundaries

  报告人: 王明新 教授(哈尔滨科技大学)

  Abstract: To understand the spreading and interaction of prey and predator, we study the dynamics of the Lotka-Volterra type prey-predator model with different free boundaries. These two free boundaries, which may intersect each other as time evolves, are used to describe the spreading of prey and predator. We investigate the existence, uniqueness, estimates and long time behaviors of global solution. Some sufficient conditions for spreading and vanishing are established. When spreading occurs, we provide the estimates of asymptotic spreading speeds and more accurate limits of $(u,v)$ as $t/to/yy$. Some realistic and significant spreading phenomena are found.

  时间:2015年10月16日(周五)15:30-16:30

  地点:首都师大北二区教学楼 513  教室

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