On tridiagonal predator-prey systems and a conjecture

被引：3

作者：

Ahmad, Shair ^{[1
]}

Granados, Bertha ^{[2
]}

Tineo, Antonio ^{[2
]}

机构：

[1] Univ Texas San Antonio, Dept Math, San Antonio, TX 78249 USA

[2] Univ Los Andes, Fac Ciencias, Dept Matemat, Merida 511, Venezuela

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2010年 / 11卷 / 03期

关键词：

Tridiagonal systems; Predator-prey; Global attractor; DIFFERENTIAL-EQUATIONS;

D O I：

10.1016/j.nonrwa.2009.04.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Tridiagonal Kolmogorov systems of dimension it can be seen as models describing the evolution of n biological species living in a "linear environment". We will say that such a system is predator-prey if each planar subsystem, composed of two neighbor species, is a predator-prey system with friction. Our conjecture is that if a predator-prey tridiagonal system is dissipative, then the system has a global attractor. Planar and Lotka-Volterra cases are proved to be true. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：1878 / 1881

页数：4

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