{"title":"Persistence and Periodicity of Nonautonomos n-Species Cooperative System with Feedback Controls and Smith Growth for Prey","authors":"Xu Sun, Rong Cheng","doi":"10.1109/ICIC.2011.94","DOIUrl":null,"url":null,"abstract":"In this paper, a non-autonomous n-Species Lotka-Volterra cooperative system with feedback controls and smith growth for prey is investigated. By using Comparability Theorem, constructing Lyapunov function and Continuation Theorem, a set of easily verifiable sufficient conditions are obtained to guarantee the permanent and Positive periodic solution global attractivity of the system.","PeriodicalId":6397,"journal":{"name":"2011 Fourth International Conference on Information and Computing","volume":"99 1","pages":"373-376"},"PeriodicalIF":0.0000,"publicationDate":"2011-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2011 Fourth International Conference on Information and Computing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICIC.2011.94","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, a non-autonomous n-Species Lotka-Volterra cooperative system with feedback controls and smith growth for prey is investigated. By using Comparability Theorem, constructing Lyapunov function and Continuation Theorem, a set of easily verifiable sufficient conditions are obtained to guarantee the permanent and Positive periodic solution global attractivity of the system.