STABILITY ANALYSIS FOR PREDATOR-PREY SYSTEMS
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Various types of predator-prey systems are studied in terms of the sta-bilities of their steady-states. Necessary conditions for the existences of non-negative constant steady-states for those systems are obtained. The linearized stabilities of the non-negative constant steady-states for the predator-prey system with monotone response functions are analyzed. The predator-prey system with non-monotone re-sponse functions are also investigated for the linearized stabilities of the positive constant steady-states.
Abstract
Various types of predator-prey systems are studied in terms of the sta-bilities of their steady-states. Necessary conditions for the existences of non-negative constant steady-states for those systems are obtained. The linearized stabilities of the non-negative constant steady-states for the predator-prey system with monotone response functions are analyzed. The predator-prey system with non-monotone re-sponse functions are also investigated for the linearized stabilities of the positive constant steady-states.
참고문헌 (18)
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