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The qualitative analysis of \(N\)-species nonlinear prey-competition systems. (English) Zbl 1045.92038
Summary: We consider an \(N\)-species nonlinear prey-competition system. Using a differential inequality theorem and the \(V\)-function method, we obtain some sufficient conditions for permanence and global asymptotic stability of the system.

MSC:
92D25 Population dynamics (general)
34D23 Global stability of solutions to ordinary differential equations
34A40 Differential inequalities involving functions of a single real variable
34D05 Asymptotic properties of solutions to ordinary differential equations
37N25 Dynamical systems in biology
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