{"title":"具有Holling IV型函数响应的捕食-食饵系统的全局稳定性和周期性","authors":"Hongwei Zhao","doi":"10.1109/ICIC.2011.68","DOIUrl":null,"url":null,"abstract":"In this paper, we investigate the persistence of a class of predator-prey system with double density restrict and Holling IV type functional response, the existence and the global stability of its global positive periodic solution by using Comparability Theorem, Coincidence Degree Theory and Lyapunov functions. We obtain the sufficient conditions which guarantee the existence of the global asymptotic stable positive periodic solution of the periodic system. Some new results obtained.","PeriodicalId":6397,"journal":{"name":"2011 Fourth International Conference on Information and Computing","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2011-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Global Stability and Periodicity of Predator-Prey System with Holling IV Type Functional Response\",\"authors\":\"Hongwei Zhao\",\"doi\":\"10.1109/ICIC.2011.68\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we investigate the persistence of a class of predator-prey system with double density restrict and Holling IV type functional response, the existence and the global stability of its global positive periodic solution by using Comparability Theorem, Coincidence Degree Theory and Lyapunov functions. We obtain the sufficient conditions which guarantee the existence of the global asymptotic stable positive periodic solution of the periodic system. Some new results obtained.\",\"PeriodicalId\":6397,\"journal\":{\"name\":\"2011 Fourth International Conference on Information and Computing\",\"volume\":null,\"pages\":null},\"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.2011.68\",\"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.2011.68","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Global Stability and Periodicity of Predator-Prey System with Holling IV Type Functional Response
In this paper, we investigate the persistence of a class of predator-prey system with double density restrict and Holling IV type functional response, the existence and the global stability of its global positive periodic solution by using Comparability Theorem, Coincidence Degree Theory and Lyapunov functions. We obtain the sufficient conditions which guarantee the existence of the global asymptotic stable positive periodic solution of the periodic system. Some new results obtained.
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