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

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

陕西科技大学文理学院, 西安 710021

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
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- 文章访问数: 1260
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- PDF下载量: 1074
- 被引次数: 0
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

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

School of Arts and Sciences, Shaanxi University of Science and Technology, Xi’an 710021, P.R.China

Funds: The National Natural Science Foundation of China(11971281)

摘要

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.
- Holling Ⅳ型功能反应函数 /
- 状态反馈控制 /
- 后继函数 /
- 阶1-周期解
Abstract: A class of predator-prey systems with Holling IV functional responses under state feedback control were studied. The sufficient conditions for the existence and stability of semi-trivial solutions and order-1 periodic solutions were obtained by means of the analogue of the Poincare criterion and the geometric theory for semi-continuous dynamical systems. The numerical simulation verifies the correctness of the conclusion and the effectiveness of the state feedback control, and reveals abundant dynamic behaviors of the state feedback control system, such as the fold bifurcation, the flip bifurcation and chaos.
- Holling Ⅳ functional response /
- state feedback control /
- successor function /
- order-1 periodic solution

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参考文献(17)

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文章访问数: 1260
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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

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).

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

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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

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).

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出版历程

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

计量

出版历程

目录

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).