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Impulsive control for stability of -species Lotka–Volterra cooperation models with finite delays

✍ Scribed by Ivanka M. Stamova

Publisher: Elsevier Science
Year: 2010
Tongue: English
Weight: 243 KB
Volume: 23
Category: Article
ISSN: 0893-9659
DOI: 10.1016/j.aml.2010.04.026

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✦ Synopsis

In this paper, the asymptotic behavior of some n-species Lotka-Volterra cooperation systems with finite delays and impulsive perturbations at fixed moments of time is studied. By using the Lyapunov-Razumikhin method sufficient conditions for uniform asymptotic stability of the solutions are obtained. We shall show, also, that the role of impulses in controlling the behavior of solutions of impulsive differential equations is very important.

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