{"title":"具有反馈控制和猎物Smith生长的非自治n物种合作系统的持久性和周期性","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":"{\"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}","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}
Persistence and Periodicity of Nonautonomos n-Species Cooperative System with Feedback Controls and Smith Growth for Prey
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.
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