SPREADING SPEEDS FOR A PARTIALLY COOPERATIVE 2-SPECIES REACTION-DIFFUSION MODEL

Weinberger HF; Kawasaki K; Shigesada N

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SPREADING SPEEDS FOR A PARTIALLY COOPERATIVE 2-SPECIES REACTION-DIFFUSION MODEL

机译：SPREADING SPEEDS FOR A PARTIALLY COOPERATIVE 2-SPECIES REACTION-DIFFUSION MODEL

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摘要

It is shown that a trick introduced by H. R. Thieme 6 to study a one-species integral equation model with a nonmonotone operator can be used to show that some multispecies reaction-diffusion systems which are cooperative for small population densities but not for large ones have a spreading speed. The ideas are explained by considering a model for the interaction between ungulates and grassland.

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来源
《Discrete and continuous dynamical systems》 |2009年第3期|1087-1098|共12页
作者
Weinberger HF; Kawasaki K; Shigesada N;
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作者单位

Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA.;

Doshisha Univ, Fac Culture & Informat Sci, Kyotonabe 6100321, Japan.;

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原文格式 PDF
正文语种英语
中图分类理论力学（一般力学）;
关键词
partially cooperative; spreading speed; reaction-diffusion system;

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SPREADING SPEEDS FOR A PARTIALLY COOPERATIVE 2-SPECIES REACTION-DIFFUSION MODEL

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