{"title":"具有阶段结构和食人的捕食者-食饵系统的正周期解","authors":"Hui Li","doi":"10.1109/ICIC.2011.95","DOIUrl":null,"url":null,"abstract":"Some species are cannibalism and their lives can be divided into several stages. When this kind of species is predator, a Predator-prey system with ratio-dependent functional response, time delay, cannibalism and stage-structured can be formulated. For this system, the non-negativity of solution are discussed. The sufficient condition for existence of positive periodic solution is obtained by using coincidence degree theory. Some new results obtained.","PeriodicalId":6397,"journal":{"name":"2011 Fourth International Conference on Information and Computing","volume":"1 1","pages":"388-391"},"PeriodicalIF":0.0000,"publicationDate":"2011-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Positive Periodic Solution of a Predator-Prey System with Stage-Structured and Cannibalism for Predator\",\"authors\":\"Hui Li\",\"doi\":\"10.1109/ICIC.2011.95\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Some species are cannibalism and their lives can be divided into several stages. When this kind of species is predator, a Predator-prey system with ratio-dependent functional response, time delay, cannibalism and stage-structured can be formulated. For this system, the non-negativity of solution are discussed. The sufficient condition for existence of positive periodic solution is obtained by using coincidence degree theory. Some new results obtained.\",\"PeriodicalId\":6397,\"journal\":{\"name\":\"2011 Fourth International Conference on Information and Computing\",\"volume\":\"1 1\",\"pages\":\"388-391\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2011-04-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2011 Fourth International Conference on Information and Computing\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICIC.2011.95\",\"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.2011.95","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Positive Periodic Solution of a Predator-Prey System with Stage-Structured and Cannibalism for Predator
Some species are cannibalism and their lives can be divided into several stages. When this kind of species is predator, a Predator-prey system with ratio-dependent functional response, time delay, cannibalism and stage-structured can be formulated. For this system, the non-negativity of solution are discussed. The sufficient condition for existence of positive periodic solution is obtained by using coincidence degree theory. Some new results obtained.