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학술저널

ON THE DYNAMICS OF PREDATOR-PREY MODELS WITH IVLEV’S FUNCTIONAL RESPONSE

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In this paper, we study the existence and the stability of equilibria of predator-prey models with Ivlev’s functional response. We give a simple proof for the uniqueness of limit cycles of the predator-prey system. The existence and the stability at the origin and a boundary equilibrium point(including the positive equilibrium point) are also investigated.

1. Introduction

2. Asymptotic behavior of system (1.1)

3. Uniqueness of limit cycles

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