期刊
MATHEMATICAL BIOSCIENCES
卷 172, 期 2, 页码 73-94出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/S0025-5564(01)00068-2
关键词
biological invasion; Fisher equation; exact solution
The problem of biological invasion in a model single-species community is considered, the spatiotemporal dynamics of the system being described by a modified Fisher equation. For a special case, we obtain an exact solution describing self-similar growth of the initially inhabited domain. By comparison with numerical solutions, we show that this exact solution may be applicable to describe an early stage of a biological invasion preceding the propagation of the stationary travelling wave. Also, the exact solution is applied to the problem of critical aggregation to derive sufficient conditions of population extinction. Finally, we show that the solution we obtain is in agreement with some data from field observations. (C) 2001 Published by Elsevier Science Inc.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据