Extinction in nonautonomous competitive Lotka-Volterra systems with infinite delay

Abstract:

The principle of competitive exclusion is extended to n-species nonautonomous Lotka-Volterra competition systems of differential equations with infinite delay. It is shown that if the coefficients are bounded, continuous and satisfy certain inequalities, then any solution with initial function in an appropriate space will have n-1 of its components tend to zero, while the remaining one will stabilize at a certain solution of a logistic differential equation. © 2011 Elsevier Ltd. All rights reserved.

Año de publicación:

2012

Keywords:

• Lotka-Volterra system
• extinction
• competition
• DELAY

Fuente:

scopus

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