Dynamic Analysis of Stochastic Lotka–Volterra Predator-Prey Model with Discrete Delays and Feedback Control
Jinlei Liu and
Wencai Zhao
Complexity, 2019, vol. 2019, 1-15
Abstract:
In this paper, a stochastic Lotka–Volterra predator-prey model with discrete delays and feedback control is studied. Firstly, the existence and uniqueness of global positive solution are proved. Further, we investigate the asymptotic property of stochastic system at the positive equilibrium point of the corresponding deterministic model and establish sufficient conditions for the persistence and extinction of the model. Finally, the correctness of the theoretical derivation is verified by numerical simulations.
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:hin:complx:4873290
DOI: 10.1155/2019/4873290
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