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李永凤, 朱城志. 一类具有阶段结构和时滞的捕食者-食饵模型的稳定性分析[J]. 信阳师范学院学报(自然科学版), 2021, 34(4): 531-535. DOI: 10.3969/j.issn.1003-0972.2021.04.003
引用本文: 李永凤, 朱城志. 一类具有阶段结构和时滞的捕食者-食饵模型的稳定性分析[J]. 信阳师范学院学报(自然科学版), 2021, 34(4): 531-535. DOI: 10.3969/j.issn.1003-0972.2021.04.003
shu
LI Yongfeng, ZHU Chengzhi. Stability Analyses of a Predator-prey Model with Stage-structured and Delay[J]. Journal of Xinyang Normal University (Natural Science Edition), 2021, 34(4): 531-535. DOI: 10.3969/j.issn.1003-0972.2021.04.003
Citation: LI Yongfeng, ZHU Chengzhi. Stability Analyses of a Predator-prey Model with Stage-structured and Delay[J]. Journal of Xinyang Normal University (Natural Science Edition), 2021, 34(4): 531-535. DOI: 10.3969/j.issn.1003-0972.2021.04.003
shu

一类具有阶段结构和时滞的捕食者-食饵模型的稳定性分析

Stability Analyses of a Predator-prey Model with Stage-structured and Delay

    摘要
  • 摘要: 考虑了一类具有时滞的两个捕食者一个食饵的捕食模型，其中两个捕食者均具有阶段结构.首先分析了模型解的有界性，然后给出边界平衡点的具体表达式及其稳定的充分条件.最后给出数值例子以验证所得结果.

     

    Abstract: A class of two predator-one prey model with delay was considered, both predators have stage structure. Firstly, the boundedness of solutions of the system was analyzed. Secondly, the exact expression of boundary equilibria were given, and the conditions for the stability of the boundary equilibria were obtained. Finally, a numerical example was given to verify the results.

     

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