ON THE UNIQUENESS OF THE POSITIVE STEADY-STATE FOR LOTKA-VOLTERRA MODELS WITH DIFFUSION

被引：18

作者：

ALI, SW ^{[1
]}

COSNER, C ^{[1
]}

机构：

[1] UNIV MIAMI,DEPT MATH & COMP SCI,CORAL GABLES,FL 33124

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1992年 / 168卷 / 02期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/0022-247X(92)90161-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give criteria for the uniqueness and stability of the componentwise positive steady state for the diffusive Lotka-Volterra model of several competing species under Dirichlet boundary conditions, thereby extending known results for cases of only two species. In the case of an underlying spatial domain which is one dimensional interval, we obtain an estimate for a quantity occurring in the hypotheses of a number of uniqueness results. The estimate sharpens those results and gives a partial negative answer to a conjecture of Korman and Leung. © 1992.

引用

页码：329 / 341

页数：13

共 21 条

[1]

ALI SW, 1986, THESIS U MIAMI

[2] APPLICATION OF THE INVARIANCE PRINCIPLE TO REACTION-DIFFUSION EQUATIONS [J].