张寅秋, 吕广迎, 焦君君. 环境污染下Lotka-Volterra随机捕食模型的周期解[J]. 应用概率统计, 2023, 39(3): 333-346. DOI: 10.3969/j.issn.1001-4268.2023.03.002
引用本文: 张寅秋, 吕广迎, 焦君君. 环境污染下Lotka-Volterra随机捕食模型的周期解[J]. 应用概率统计, 2023, 39(3): 333-346. DOI: 10.3969/j.issn.1001-4268.2023.03.002
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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
shu

环境污染下Lotka-Volterra随机捕食模型的周期解

Periodic Solution of Lotka-Volterra Stochastic Predator-Prey Model in a Polluted Environment

    摘要
  • 摘要: 本文主要研究了环境污染下的Lotka-Volterra随机捕食模型. 得到了周期解的存在性和全局吸引性. 更进一步,我们给出了非平凡正周期解存在以及全局吸引性的充分条件. 最后,数值模拟验证了我们的结果.

     

    Abstract: 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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