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Zbl 0588.92019
Gopalsamy, K.
Global asymptotic stability in a periodic Lotka-Volterra system. (English)
[J] J. Aust. Math. Soc., Ser. B 27, 66-72 (1985). ISSN 0334-2700

A set of easily verifiable sufficient conditions are obtained for the existence of a globally asymptotically stable periodic solution in a Lotka-Volterra system with periodic coefficients.
MSC 2000:
*92D40 Ecology
34C25 Periodic solutions of ODE
34D05 Asymptotic stability of ODE
92D25 Population dynamics

Keywords: sufficient conditions; existence of a globally asymptotically stable periodic solution; Lotka-Volterra system; periodic coefficients

Cited in: Zbl 0916.34048 Zbl 0859.34033 Zbl 0824.34039 Zbl 0756.34048 Zbl 0729.92025 Zbl 0625.92018

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