| 具反馈控制和Holling Ⅳ功能性反应捕食非自治系统的持久性和全局稳定性 |
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| 引用本文： | 周晓燕.具反馈控制和Holling Ⅳ功能性反应捕食非自治系统的持久性和全局稳定性[J].宝鸡文理学院学报(自然科学版),2018,38(2):9-13. |
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| 作者姓名： | 周晓燕 |
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| 作者单位： | 福州职业技术学院公共教育部,福建福州,350108 |
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| 基金项目： | 福州职业技术学院2017年度校级科研项目(FZYKJC201703) |
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| 摘 要： | 目的研究一类具反馈控制和HollingⅣ功能性反应捕食非自治系统。方法通过应用微分方程比较原理和构造适当的Lyapunov泛函进行研究。结果得到保证该系统解的持久性和全局稳定性的充分条件。结论与具反馈控制和HollingⅡ功能性反应捕食系统相比,当功能性反应函数非单调增加时,该系统仍可保持其持久性和全局稳定性。
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| 关 键 词： | 非自治 持久性 Holling Ⅳ 全局稳定性 |
Permanence and global stability of a non-autonomous system with feedback controls and Holling Ⅳ functional response |
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| ZHOU Xiao-yan.Permanence and global stability of a non-autonomous system with feedback controls and Holling Ⅳ functional response[J].Journal of Baoji College of Arts and Science(Natural Science Edition),2018,38(2):9-13. |
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| Authors: | ZHOU Xiao-yan |
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| Abstract: | Purposes—To explore the non-autonomous predator-prey systems with feedback con-trols and Holling Ⅳ functional response .Methods—The comparison theorem of differential equations and the construction of some suitable Lyapunov function were applied .Results—Sufficient conditions w hich ensure the permanence and the global stability of the system are obtained .Conclusion —Com-pared to the predator-prey systems equipped with feedback control and Holling Ⅱ functional re-sponse ,the non-autonomous systems can still maintain its permanence and global stability as the func-tional response is non-monotone increasing . |
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