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具有Holling Ⅳ型功能反应捕食系统的状态反馈控制

王小娥 蔺小林 李建全

王小娥, 蔺小林, 李建全. 具有Holling Ⅳ型功能反应捕食系统的状态反馈控制[J]. 应用数学和力学, 2020, 41(12): 1369-1380. doi: 10.21656/1000-0887.400314
引用本文: 王小娥, 蔺小林, 李建全. 具有Holling Ⅳ型功能反应捕食系统的状态反馈控制[J]. 应用数学和力学, 2020, 41(12): 1369-1380. doi: 10.21656/1000-0887.400314
WANG Xiaoe, LIN Xiaolin, LI Jianquan. State Feedback Control of Predator-Prey Systems With Holling Ⅳ Functional Responses[J]. Applied Mathematics and Mechanics, 2020, 41(12): 1369-1380. doi: 10.21656/1000-0887.400314
Citation: WANG Xiaoe, LIN Xiaolin, LI Jianquan. State Feedback Control of Predator-Prey Systems With Holling Ⅳ Functional Responses[J]. Applied Mathematics and Mechanics, 2020, 41(12): 1369-1380. doi: 10.21656/1000-0887.400314

具有Holling Ⅳ型功能反应捕食系统的状态反馈控制

doi: 10.21656/1000-0887.400314
基金项目: 国家自然科学基金(11971281)
详细信息
    作者简介:

    王小娥(1993—),女,硕士生(E-mail: 1255013427@qq.com);蔺小林(1961—),男,博士(通讯作者. E-mail: linxl@sust.edu.cn).

  • 中图分类号: O175

State Feedback Control of Predator-Prey Systems With Holling Ⅳ Functional Responses

Funds: The National Natural Science Foundation of China(11971281)
  • 摘要: 研究了一类具有Holling Ⅳ型功能反应和状态反馈控制的捕食模型,利用相似的Poincaré准则和半连续动力系统几何理论,得到了半平凡周期解稳定和阶1周期解存在的充分条件.数值模拟验证了结论的正确性和状态反馈控制的有效性.同时,数值模拟揭示了状态反馈控制系统存在着丰富的动力学行为,比如fold分岔、flip分岔和混沌现象.
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出版历程
  • 收稿日期:  2019-10-05
  • 修回日期:  2020-05-16
  • 刊出日期:  2020-12-01

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