COEXISTENCE AND STABILITY OF SOLUTIONS FOR A CLASS OF REACTION-DIFFUSION SYSTEMS

被引：0

作者：

Zhang, Zhenbu ^{[1
]}

机构：

[1] Jackson State Univ, Dept Math, Jackson, MS 39217 USA

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2005年

关键词：

Coexistence; stability; reaction-diffusion; eigenvalue problem;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider the situation of two species of predators competing for one species of prey. We use comparison principles to study the global existence, the existence of non-trivial steady states and their stability.

引用

页数：16

共 18 条

[1] DYNAMIC THEORY OF QUASILINEAR PARABOLIC EQUATIONS .1. ABSTRACT EVOLUTION-EQUATIONS [J].

AMANN, H .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1988, 12 (09) :895-919

[2] DYNAMIC THEORY OF QUASILINEAR PARABOLIC-SYSTEMS .3. GLOBAL EXISTENCE [J].

AMANN, H .

MATHEMATISCHE ZEITSCHRIFT, 1989, 202 (02) :219-250

[3]

Amann H., 1990, DIFFERENTIAL INTEGRA, V3, P13

[4] The evolution of slow dispersal rates: a reaction diffusion model [J].

Dockery, J ;

Hutson, V ;

Mischaikow, K ;

Pernarowski, M .

JOURNAL OF MATHEMATICAL BIOLOGY, 1998, 37 (01) :61-83

[5] A parabolic system modeling microbial competition in an unmixed bio-reactor [J].

Dung, L ;

Smith, HL .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1996, 130 (01) :59-91

[6] UNIQUENESS AND NONUNIQUENESS OF COEXISTENCE STATES IN THE LOTKA-VOLTERRA COMPETITION MODEL [J].

GUI, CF ;

LOU, YA .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1994, 47 (12) :1571-1594

[7]

Henry D., 1981, GEOMETRIC THEORY SEM, DOI [10.1007/BFb0089647, DOI 10.1007/BFB0089647]

[8] STEADY-STATES OF A SYSTEM OF PARTIAL-DIFFERENTIAL EQUATIONS MODELING MICROBIAL ECOLOGY [J].

HSU, SB .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1983, 14 (06) :1130-1138

[9] ON A SYSTEM OF REACTION-DIFFUSION EQUATIONS ARISING FROM COMPETITION IN AN UNSTIRRED CHEMOSTAT [J].

HSU, SB ;

WALTMAN, P .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1993, 53 (04) :1026-1044

[10]

KIELHOFER H, 1974, ARCH RATION MECH AN, V57, P150, DOI 10.1007/BF00248417

← 1 2 →