污染环境下具有混合功能反应和Markov切换的食饵-捕食模型

doi:10.16088/j.issn.1001-6600.2022092301

Abstract

Abstract: A stochastic model of two prey, one predator with Holling Ⅱ and Monod-Haldane type functional responses is investigated in the presence of white noise and Markov switching in a polluted environment. The uniqueness of the existence of a global positive solution of the model is proved, sufficient conditions for the persistence and extinction of the population in a time-averaged sense are established, and the model is shown to have a unique stationary distribution under certain conditions using the Lyapunov function. Finally, the theoretical results are illustrated by numerical simulations.

Key words: predator-prey, white noise, Markov switching, Itô's formula, environmental pollution

CLC Number: O175.6

ZHONG Ying, WEI Yuming. A Predator-Prey Model with Mixed Functional Responses and Markov Switching in a Contaminated Environment[J].Journal of Guangxi Normal University(Natural Science Edition), 2023, 41(4): 135-148.

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A Predator-Prey Model with Mixed Functional Responses and Markov Switching in a Contaminated Environment

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