Abstract：
: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.
journal_name
Math Bioscijournal_title
Mathematical biosciencesauthors
Petrovskii S,Shigesada Ndoi
10.1016/s0025-5564(01)00068-2subject
Has Abstractpub_date
2001-08-01 00:00:00pages
73-94issue
2eissn
0025-5564issn
1879-3134pii
S0025-5564(01)00068-2journal_volume
172pub_type
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