Coexistence state of a reaction-diffusion system

Meng Yijie; Wang Yifu

Coexistence state of a reaction-diffusion system

Meng Yijie^*, Wang Yifu

^*Corresponding author for this work

School of Mathematics and Statistics

Hubei University of Arts and Science

Research output: Contribution to journal › Article › peer-review

Abstract

Taking the spatial diffusion into account, we consider a reactiondiffusion system that models three species on a growth-limiting, nonreproducing resources in an unstirred chemostat. Sufficient conditions for the existence of a positive solution are determined. The main techniques is the Leray-Schauder degree theory.

Original language	English
Pages (from-to)	1-13
Number of pages	13
Journal	Electronic Journal of Differential Equations
Volume	2007
Publication status	Published - 25 Oct 2007

Keywords

Chemostat
Competition model
Leray-Schauder degree
Maximum principle
Principal eigenvalue

Cite this

Yijie, M., & Yifu, W. (2007). Coexistence state of a reaction-diffusion system. Electronic Journal of Differential Equations, 2007, 1-13.

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AU - Yijie, Meng

AU - Yifu, Wang

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AB - Taking the spatial diffusion into account, we consider a reactiondiffusion system that models three species on a growth-limiting, nonreproducing resources in an unstirred chemostat. Sufficient conditions for the existence of a positive solution are determined. The main techniques is the Leray-Schauder degree theory.

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KW - Competition model

KW - Leray-Schauder degree

KW - Maximum principle

KW - Principal eigenvalue

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SN - 1072-6691

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JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

ER -

Coexistence state of a reaction-diffusion system

Abstract

Keywords

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