Volume no :3, Issue no: 1, February (2010)

SINGULAR PERTURBATION PROBLEMS OF THREE-SPECIES FOOD-CHAIN REACTION DIFFUSION MODELS

Author's: Chang-You Wang, Fei Gong and Shu Wang
Pages: [137] - [146]
Received Date: January 25, 2010
Submitted by:

Abstract

The singularly perturbed problems for the nonlinear three-species food-chain reaction diffusion systems are considered. By using the differential mean value theorem and the method of upper and lower solutions, the asymptotic behavior of the solution for the initial boundary value problems is studied. Moreover, the existence and uniqueness of solution for the original problem, and the uniformly valid asymptotic estimation are discussed.

Keywords

food-chain model, asymptotic estimation, reaction-diffusion, singular perturbation.