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Dynamical analysis of a modified Leslie-Gower Holling-type II predator-prey stochastic model in polluted environments
1College of Science, Civil Aviation University of China, Tianjin, People's Republic of China.
Abstract:
In this paper, we use a mean-reverting Ornstein-Uhlenbeck process to simulate the stochastic perturbations in the environment, and then a modified Leslie-Gower Holling-type II predator-prey stochastic model in a polluted environment with interspecific competition and pulse toxicant input is proposed. Through constructing V-function and applying formula, the sharp sufficient conditions including strongly persistent in the mean, persistent in the mean and extinction are established. In addition, the theoretical results are verified by numerical simulation.
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