{"title":"一类具有非单调泛函响应的多延迟捕食系统的多周期解","authors":"Ming Zhao","doi":"10.1109/ICIC.2011.78","DOIUrl":null,"url":null,"abstract":"By using the continuation theorem of coincidence degree theory, we study the existence of positive periodic solutions for a multi-delay predator-prey system with non-monotonic functional response. A set of sufficient conditions for this system to have at least two positive periodic solutions is established. Some new results are obtained, the evolving law is revealed that when the two species intrinsic increasing rate is greater than the total consumption rate, the system will bring periodic oscillation of biological nature.","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\":\"Multiple Periodic Solution of a Multi-delay Predator-Prey System with Non-monotonic Functional Response\",\"authors\":\"Ming Zhao\",\"doi\":\"10.1109/ICIC.2011.78\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"By using the continuation theorem of coincidence degree theory, we study the existence of positive periodic solutions for a multi-delay predator-prey system with non-monotonic functional response. A set of sufficient conditions for this system to have at least two positive periodic solutions is established. Some new results are obtained, the evolving law is revealed that when the two species intrinsic increasing rate is greater than the total consumption rate, the system will bring periodic oscillation of biological nature.\",\"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.2011.78\",\"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.2011.78","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Multiple Periodic Solution of a Multi-delay Predator-Prey System with Non-monotonic Functional Response
By using the continuation theorem of coincidence degree theory, we study the existence of positive periodic solutions for a multi-delay predator-prey system with non-monotonic functional response. A set of sufficient conditions for this system to have at least two positive periodic solutions is established. Some new results are obtained, the evolving law is revealed that when the two species intrinsic increasing rate is greater than the total consumption rate, the system will bring periodic oscillation of biological nature.
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