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

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title = "Coexistence state of a reaction-diffusion system",

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.",

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author = "Meng Yijie and Wang Yifu",

year = "2007",

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T1 - Coexistence state of a reaction-diffusion system

AU - Yijie, Meng

AU - Yifu, Wang

PY - 2007/10/25

Y1 - 2007/10/25

N2 - 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.

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.

KW - Chemostat

KW - Competition model

KW - Leray-Schauder degree

KW - Maximum principle

KW - Principal eigenvalue

UR - https://www.scopus.com/pages/publications/35548936119

M3 - Article

AN - SCOPUS:35548936119

SN - 1072-6691

VL - 2007

SP - 1

EP - 13

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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