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Global attractivity of the periodic Lotka-Volterra system. (English) Zbl 0973.92039
Summary: A Lotka-Volterra periodic model with \(m\)-predators and \(n\)-preys is studied. A set of easily verifiable sufficient conditions that guarantee the existence, uniqueness and global attractivity of the positive periodic solutions is obtained. Finally, a suitable example is given to illustrate that the conditions of the main theorem are feasible.

MSC:
92D40 Ecology
34C25 Periodic solutions to ordinary differential equations
37N25 Dynamical systems in biology
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