{"title":"一类具有反馈控制的种群方程的持久与稳定性","authors":"Yang Yang, Nannan Cheng, Dehui Sun","doi":"10.1109/ICIC.2010.207","DOIUrl":null,"url":null,"abstract":"A set of population equations with feedback control is studied. By applying comparison theorem of differential equation and constructing a suitable Lyapunov function, sufficient conditions for the permanence, strictly positive (component wise), global asymptotic stability of the positive equilibrium point are obtained. Some new results are obtained.","PeriodicalId":176212,"journal":{"name":"2010 Third International Conference on Information and Computing","volume":"3 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Permanence and Stability for a Class of Population Equations with Feedback Control\",\"authors\":\"Yang Yang, Nannan Cheng, Dehui Sun\",\"doi\":\"10.1109/ICIC.2010.207\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A set of population equations with feedback control is studied. By applying comparison theorem of differential equation and constructing a suitable Lyapunov function, sufficient conditions for the permanence, strictly positive (component wise), global asymptotic stability of the positive equilibrium point are obtained. Some new results are obtained.\",\"PeriodicalId\":176212,\"journal\":{\"name\":\"2010 Third International Conference on Information and Computing\",\"volume\":\"3 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-06-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2010 Third International Conference on Information and Computing\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICIC.2010.207\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 Third International Conference on Information and Computing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICIC.2010.207","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Permanence and Stability for a Class of Population Equations with Feedback Control
A set of population equations with feedback control is studied. By applying comparison theorem of differential equation and constructing a suitable Lyapunov function, sufficient conditions for the permanence, strictly positive (component wise), global asymptotic stability of the positive equilibrium point are obtained. Some new results are obtained.
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