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Dynamic analysis of a modified stochastic predator-prey system with general ratio-dependent functional response

Tonghua Zhang|Yu Yang
대한수학회 (The Korean Mathematical Society)|2016.01|대한수학회보 (Bulletin of the KMS)|제53권 제1호|pp. 103-117

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참고문헌

키워드

Brownian motionpersistentpredator-prey modelfunctional responseextinct
주제분류수학

초록

In this paper, we study a modified stochastic predator-prey system with general ratio-dependent functional response. We prove that the system has a unique positive solution for given positive initial value. Then we investigate the persistence and extinction of this stochastic system. At the end, we give some numerical simulations, which support our theoretical conclusions well.

Abstract

In this paper, we study a modified stochastic predator-prey system with general ratio-dependent functional response. We prove that the system has a unique positive solution for given positive initial value. Then we investigate the persistence and extinction of this stochastic system. At the end, we give some numerical simulations, which support our theoretical conclusions well.

참고문헌 (22)

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