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Delay effect on the permanence for Lotka-Volterra cooperative systems. (English) Zbl 1198.34079
Summary: We show that delays can change the permanence in Lotka-Volterra cooperative systems. For certain delays with the same length, the delayed system has a similar property to the corresponding system without delays in the sense of permanence, but for a general delay case, the delays may destroy the permanence for the system.

##### MSC:
 34C60 Qualitative investigation and simulation of ordinary differential equation models 34D05 Asymptotic properties of solutions to ordinary differential equations 92D25 Population dynamics (general)
##### Keywords:
Lotka-Volterra system; cooperative; discrete delay; permanence
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##### References:
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