Reaction-diffusion equations of two species competing for two complementary resources with internal storage

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:251

Article

Hsu, Sze-Bi^2,3  Jiang, Jifa¹  Wang, Feng-Bin² 

[1] Shanghai Normal Univ, Coll Math & Sci, Shanghai 200234, Peoples R China

[2] Natl Tsing Hua Univ, Dept Math, Hsinchu 300, Taiwan

[3] Natl Tsing Hua Univ, Natl Ctr Theoret Sci, Hsinchu 300, Taiwan

关键词: Complementary resources;    Internal storage;    Unstirred chemostat;    Maximum principle;    Monotone dynamical systems;    Coexistence;   

DOI  :  10.1016/j.jde.2011.05.003

来源: Elsevier

【 摘 要 】

This paper examines a system of reaction-diffusion equations arising from a mathematical model of two microbial species competing for two complementary resources with internal storage in an unstirred chemostat. The governing system can be reduced to a limiting system based on two uncoupled conservation principles. One of main technical difficulties in our analysis is the singularities in the reaction terms. Conditions for persistence of one population and coexistence of two competing populations are derived from eigenvalue problems, maximum principle and the theory of monotone dynamical systems. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

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