On global asymptotic stability of the equilibrium of “predator–prey” system in varying environment
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This paper considers a predator–prey system of differential equations. This ecological system is a model of Lotka–Volterra type whose prey population receives time-variation of the environment. It is not assumed that the time-varying coefficient is weakly integrally positive. We obtain sufficient conditions of global asymptotic stability of the unique interior equilibrium if the time-variation is bounded.
Keywordsglobal asymptotic stability Lotka–Volterra predator–prey model
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