返回Google圖書搜尋

A 3-Component System of Competition and Diffusion

出版	MATHEMATICS RESEARCH CENTER, University of WISCONSIN, 1983
URL	http://books.google.com.hk/books?id=1kZGOAAACAAJ&hl=&source=gbs_api

註釋This report studies the existence of non-constant solutions of certain two-point boundary value problems for 3-component systems with a small parameter epsilon, under homogeneous Neumann conditions at the boundaries. This problem is related to the analysis of segregation patterns in population models of 3-competing and spatially dispersing species. It is shown that the reduced problem (epsilon = 0) has many non-constant solutions exhibiting spatial segregation. Only a few of these, however, can serve as valid lowest-order approximations to solutions of the original problem when epsilon is non-zero but small. A singular perturbation construction clarifies which are in this category. The results of numerical computations of solutions are also illustrated. (Author).