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On the extinction of periodic Lotka-Volterra competition systems. (English) Zbl 1014.92047

Summary: We study the extinction of two species competitive periodic Lotka-Volterra systems. Some new criteria are obtained. These criteria are not alike with those of S. Ahmad [Proc. Am. Math. Soc. 117, No. 1, 199-204 (1993; Zbl 0848.34033)] and A. Tineo [Diff. Integral Equ. 6, No. 2, 449-457 (1993; Zbl 0774.34037)].

MSC:

92D40 Ecology
34D05 Asymptotic properties of solutions to ordinary differential equations
92D25 Population dynamics (general)
34D20 Stability of solutions to ordinary differential equations
34C60 Qualitative investigation and simulation of ordinary differential equation models
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