SPATIAL STRUCTURES AND PERIODIC TRAVELING WAVES IN AN INTEGRODIFFERENTIAL REACTION-DIFFUSION POPULATION-MODEL

被引:388
作者
BRITTON, NF
机构
[1] Univ of Bath, Bath
关键词
D O I
10.1137/0150099
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
An integro-differential reaction-diffusion equation is proposed as a model for populations where local aggregation is advantageous but intraspecific competition increases as global populations increase. It is claimed that this is inherently more realistic than the usual kind of reaction-diffusion model for mobile populations. Three kinds of bifurcation from the uniform steady-state solution are considered, (i) to steady spatially periodic structures, (ii) to periodic standing wave solutions, and (iii) to periodic travelling wave solutions. These correspond to aggregation and motion of populations.
引用
收藏
页码:1663 / 1688
页数:26
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