Spatial segregation in competitive interaction-diffusion equations

Spatial segregation in competitive interaction-diffusion equations
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DOI:
10.1007/bf00276035
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发表时间:
1980-03
影响因子:
1.9
通讯作者:
M. Mimura;Kohkichi Kawasaki
M. Mimura;Kohkichi Kawasaki
中科院分区:
数学4区
文献类型:
--
作者:
M. Mimura;Kohkichi Kawasaki

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研究了交叉种群压力对两个竞争种群的沃尔泰拉型动力学的影响。在交叉扩散诱导不稳定性的基础上,研究了空间偏析。空间离散模型也进行了讨论。它表明,这种效果有一种趋势,以提高稳定性,确保物种的共存。在连续和离散的情况下,时间相关的偏析过程进行了数值研究。
The effect of cross-population pressure on the Volterra type dynamics for two competing species is investigated. On the basis of cross-diffusion induced instability, spatial segregation is studied. Spatially discrete models are also discussed. It is shown that this effect has a tendency to enhance the stability assuring coexistence of species. In continuous and discrete cases, time-dependent segregation processes are studied numerically.