SPATIAL STRUCTURES AND PERIODIC TRAVELING WAVES IN AN INTEGRODIFFERENTIAL REACTION-DIFFUSION POPULATION-MODEL
SPATIAL STRUCTURES AND PERIODIC TRAVELING WAVES IN AN INTEGRODIFFERENTIAL REACTION-DIFFUSION POPULATION-MODEL
复制标题
DOI：
10.1137/0150099
复制
发表时间：
1990-12-01
影响因子：
1.9
通讯作者：
BRITTON, NF
中科院分区：
文献类型：
--
作者：
BRITTON, NF
一个积分微分反应扩散方程提出了一个模型的人口，当地聚集是有利的，但种内竞争增加，全球人口的增加。有人声称，这是本质上更现实的比通常的反应扩散模型的移动的人口。三种分歧从统一的稳态解被认为是，（i）稳定的空间周期结构，（ii）周期驻波解决方案，（iii）周期行波解决方案。这些对应于人口的聚集和移动。
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.