Accession Number : ADA132860

Title :   A 3-Component System of Competition and Diffusion.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV-MADISON 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 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)

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