
Accession Number : ADA132860
Title : A 3Component System of Competition and Diffusion.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIVMADISON MATHEMATICS RESEARCH CENTER
Personal Author(s) : Mimura,Masayasu ; Fife,Paul C
PDF Url : ADA132860
Report Date : Aug 1983
Pagination or Media Count : 27
Abstract : This report studies the existence of nonconstant solutions of certain twopoint boundary value problems for 3component 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 3competing and spatially dispersing species. It is shown that the reduced problem (epsilon = 0) has many nonconstant solutions exhibiting spatial segregation. Only a few of these, however, can serve as valid lowestorder approximations to solutions of the original problem when epsilon is nonzero but small. A singular perturbation construction clarifies which are in this category. The results of numerical computations of solutions are also illustrated. (Author)
Descriptors : *Boundary value problems, *Solutions(General), Mathematical models, Computations, Population(Mathematics), Points(Mathematics), Perturbations, Diffusion, Inequalities, Stationary, Steady state
Subject Categories : Statistics and Probability
Distribution Statement : APPROVED FOR PUBLIC RELEASE