{"title":"一类无穷时滞捕食-食饵系统多周期解的存在性","authors":"Pan Gao, Rong Cheng","doi":"10.1109/ICIC.2010.26","DOIUrl":null,"url":null,"abstract":"In this paper, we study the existence of positive periodic solutions for a predator-prey system with infinite delay and non-monotonic functional response. Two bounded open sets are obtained by using analytic technique. By means of the continuation theorem based on coincidence degree theory, a set of sufficient conditions for this system to have at least two positive periodic solutions is obtained.","PeriodicalId":176212,"journal":{"name":"2010 Third International Conference on Information and Computing","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Existence of Multiple Periodic Solution of a Predator-Prey System with Infinite Delay\",\"authors\":\"Pan Gao, Rong Cheng\",\"doi\":\"10.1109/ICIC.2010.26\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we study the existence of positive periodic solutions for a predator-prey system with infinite delay and non-monotonic functional response. Two bounded open sets are obtained by using analytic technique. By means of the continuation theorem based on coincidence degree theory, a set of sufficient conditions for this system to have at least two positive periodic solutions is obtained.\",\"PeriodicalId\":176212,\"journal\":{\"name\":\"2010 Third International Conference on Information and Computing\",\"volume\":\"1 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.2010.26\",\"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.2010.26","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Existence of Multiple Periodic Solution of a Predator-Prey System with Infinite Delay
In this paper, we study the existence of positive periodic solutions for a predator-prey system with infinite delay and non-monotonic functional response. Two bounded open sets are obtained by using analytic technique. By means of the continuation theorem based on coincidence degree theory, a set of sufficient conditions for this system to have at least two positive periodic solutions is obtained.
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