The permanence and global attractivity in a nonautonomous Lotka–Volterra system. (English) Zbl 1085.34040

Summary: We consider a nonautonomous Lotka–Volterra system. By means of Ahmad and Lazer’s definitions of lower and upper averages of a function, we give averaged conditions for the permanence and global attractivity of this system. It is shown that our averaged conditions are generalization of that of Ahmad and Lazer.


34D05 Asymptotic properties of solutions to ordinary differential equations
92D25 Population dynamics (general)
34D23 Global stability of solutions to ordinary differential equations
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