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  

Permanence and global stabilityof a non-autonomous system with feedback controls and Holling Ⅳ functional response

作　　者：周晓燕[1] ZHOU Xiao yan(Public Education Department,Fuzhou Polytechnic,Fuzhou 350108,Fujian,China)

机构地区：[1]福州职业技术学院公共教育部,福建福州350108

出　　处：《宝鸡文理学院学报（自然科学版）》2018年第2期9-13,共5页Journal of Baoji University of Arts and Sciences(Natural Science Edition)

基　　金：福州职业技术学院2017年度校级科研项目(FZYKJC201703)

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。Purposes—To explore the non-autonomous predator-prey systems with feedback controls and Holling Ⅳfunctional response.Methods—The comparison theorem of differential equations and the construction of some suitable Lyapunov function were applied.Results—Sufficient conditions which ensure the permanence and the global stability of the system are obtained.Conclusion —Compared to the predator-prey systems equipped with feedback control and Holling Ⅱ functional response,the non-autonomous systems can still maintain its permanence and global stability as the functional response is non-monotone increasing.

关 键 词：非自治 持久性 HollingⅣ 全局稳定性 

分 类 号：O175.14[理学—数学]