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Extinction in a two dimensional Lotka-Volterra system with infinite delay. (English) Zbl 1122.34058
A two-dimensional competitive nonautonomous Lotka-Volterra system is considered with infinite delay for the second variable in the first equation and vice-versa in the second one. A result of S. Ahmad [Proc. Am. Math. Soc. 117, No. 1, 119–204 (1993; Zbl 0843.34033)] is extended to the present case. The corresponding inequality implies the elimination of the second competitor and the survival of the first one.

34K25 Asymptotic theory of functional-differential equations
92D25 Population dynamics (general)
Full Text: DOI
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