Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
838635 | Nonlinear Analysis: Real World Applications | 2010 | 4 Pages |
Abstract
Tridiagonal Kolmogorov systems of dimension nn can be seen as models describing the evolution of nn 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.
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Authors
Shair Ahmad, Bertha Granados, Antonio Tineo,