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Global asymptotic stability in \(n\)-species nonautonomous Lotka-Volterra competitive systems with infinite delays. (English) Zbl 1029.34060
The authors consider \(n\)-species nonautonomous Lotka-Volterra-type competitive systems with infinite delay. By means of a Lyapunov functional, they prove the global asymptotic stability of any positive solution to the system.
Moreover, conditions are given such that the positive solution to the delayed system is globally asymptotically stable whenever the positive solution to the nondelayed system is globally asymptotically stable.
An example is given to illustrate the feasibility of the main result.

34K20 Stability theory of functional-differential equations
92D25 Population dynamics (general)
Full Text: DOI
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