Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10426934 | Nonlinear Analysis: Theory, Methods & Applications | 2005 | 13 Pages |
Abstract
In this paper, we answer an earlier conjecture. Consider a class of nonautonomous competitive Lotka-Volterra systems. We show that certain inequalities involving the interaction coefficients and averages of the growth rates imply that the system is persistent. However, reversing one of these inequalities implies that the Nth species goes to extinction.
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Authors
Shair Ahmad, Alan C. Lazer,