ZHANG Yinqiu, LV Guangying, JIAO Junjun. Periodic Solution of Lotka-Volterra Stochastic Predator-Prey Model in a Polluted Environment[J]. Chinese Journal of Applied Probability and Statistics, 2023, 39(3): 333-346. DOI: 10.3969/j.issn.1001-4268.2023.03.002
Citation: ZHANG Yinqiu, LV Guangying, JIAO Junjun. Periodic Solution of Lotka-Volterra Stochastic Predator-Prey Model in a Polluted Environment[J]. Chinese Journal of Applied Probability and Statistics, 2023, 39(3): 333-346. DOI: 10.3969/j.issn.1001-4268.2023.03.002
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Periodic Solution of Lotka-Volterra Stochastic Predator-Prey Model in a Polluted Environment

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  • In this paper, the Lotka-Volterra stochastic predator-prey systems in a polluted environment is considered. The existence and global attractivity of the periodic solutions are obtained. Furthermore, we obtain the sufficient conditions for the existence and global attractivity of a nontrivial positive periodic solution. Finally, simulations verify our analytical results.
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