Accession Number:

ADA089663

Title:

Large Amplitude Patterns for Two Competing Species.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1980-06-01

Pagination or Media Count:

36.0

Abstract:

Large amplitude solutions are obtained for systems of semilinear reaction-diffusion equations arising in mathematical ecology which describe the evolution of two competing species. Their behavior is locally consistent with the principle of competitive exclusion. Such solutions are first obtained for a special class of steady state equations in which the two species are assumed to be exactly equal competitors large amplitude patterns for generic classes of equations are then obtained by introducing various perturbations in the relative competitive strengths of the two species. In particular, we obtain 1, travelling wave solutions through constant perturbations, and 2, stable stationary solutions through spatially inhomogeneous perturbations. Author

Subject Categories:

  • Biology
  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE