一类改进Lotka-Volterra微分代数捕食-食饵系统的Hopf分岔与非线性状态反馈控制

Fifth International Conference on Intelligent Control and Information Processing Pub Date : 2014-08-01 DOI:10.1109/ICICIP.2014.7010345

M. Li, Boshan Chen, Gan Wang, Zhenwei Li, W. Liu

{"title":"一类改进Lotka-Volterra微分代数捕食-食饵系统的Hopf分岔与非线性状态反馈控制","authors":"M. Li, Boshan Chen, Gan Wang, Zhenwei Li, W. Liu","doi":"10.1109/ICICIP.2014.7010345","DOIUrl":null,"url":null,"abstract":"This paper systematically studies a modified Lotka-Volterra differential algebraic predator-prey system, which is combined with nonlinear harvesting in prey and gestation delayed for predator. According to the stability and bifurcation theorem, through considering gestation delayed as a bifurcation parameter, the occurrence of Hopf bifurcation of proposed system is shown. Moreover, the nonlinear state feedback controller is designed to control the Hopf bifurcation, and the population of prey and predator can be driven to steady states by adjusting harvesting costs and the economic profit. Lastly, numerical simulations illustrate the effectiveness of the results obtained here.","PeriodicalId":408041,"journal":{"name":"Fifth International Conference on Intelligent Control and Information Processing","volume":"5 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2014-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"Hopf bifurcation and nonlinear state feedback control for a modified Lotka-Volterra differential algebraic predator-prey system\",\"authors\":\"M. Li, Boshan Chen, Gan Wang, Zhenwei Li, W. Liu\",\"doi\":\"10.1109/ICICIP.2014.7010345\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper systematically studies a modified Lotka-Volterra differential algebraic predator-prey system, which is combined with nonlinear harvesting in prey and gestation delayed for predator. According to the stability and bifurcation theorem, through considering gestation delayed as a bifurcation parameter, the occurrence of Hopf bifurcation of proposed system is shown. Moreover, the nonlinear state feedback controller is designed to control the Hopf bifurcation, and the population of prey and predator can be driven to steady states by adjusting harvesting costs and the economic profit. Lastly, numerical simulations illustrate the effectiveness of the results obtained here.\",\"PeriodicalId\":408041,\"journal\":{\"name\":\"Fifth International Conference on Intelligent Control and Information Processing\",\"volume\":\"5 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2014-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Fifth International Conference on Intelligent Control and Information Processing\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICICIP.2014.7010345\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Fifth International Conference on Intelligent Control and Information Processing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICICIP.2014.7010345","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 5

摘要

本文系统地研究了一种结合猎物非线性收获和捕食者妊娠延迟的改进Lotka-Volterra微分代数捕食者-食饵系统。根据稳定性和分岔定理，通过考虑妊娠延迟作为分岔参数，证明了所提系统Hopf分岔的存在性。此外，设计了非线性状态反馈控制器来控制Hopf分岔，通过调整捕获成本和经济利润，使猎物和捕食者的种群达到稳定状态。最后，通过数值仿真验证了所得结果的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Hopf bifurcation and nonlinear state feedback control for a modified Lotka-Volterra differential algebraic predator-prey system

This paper systematically studies a modified Lotka-Volterra differential algebraic predator-prey system, which is combined with nonlinear harvesting in prey and gestation delayed for predator. According to the stability and bifurcation theorem, through considering gestation delayed as a bifurcation parameter, the occurrence of Hopf bifurcation of proposed system is shown. Moreover, the nonlinear state feedback controller is designed to control the Hopf bifurcation, and the population of prey and predator can be driven to steady states by adjusting harvesting costs and the economic profit. Lastly, numerical simulations illustrate the effectiveness of the results obtained here.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Fifth International Conference on Intelligent Control and Information Processing

自引率

0.00%

发文量