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.
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页码：1878 / 1881
页数：4
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