{"title":"时滞阶段结构捕食-食饵系统的定性分析","authors":"Lingshu Wang, Guanghui Feng","doi":"10.1109/ICBBE.2010.5515803","DOIUrl":null,"url":null,"abstract":"A delayed and stage-structured predator-prey system with Holling type-II functional response is discussed. By using the normal form theory and center manifold theorem, the linear stability of the system is investigated and Hopf bifurcations are established. Formula determining the direction of bifurcations and the stability of bifurcating periodic solutions are given. Numerical simulations are carried out to illustrate the theoretical results.","PeriodicalId":6396,"journal":{"name":"2010 4th International Conference on Bioinformatics and Biomedical Engineering","volume":"170 1","pages":"1-4"},"PeriodicalIF":0.0000,"publicationDate":"2010-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Qualitative Analysis of a Delayed and Stage-Structured Predator-Prey System\",\"authors\":\"Lingshu Wang, Guanghui Feng\",\"doi\":\"10.1109/ICBBE.2010.5515803\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A delayed and stage-structured predator-prey system with Holling type-II functional response is discussed. By using the normal form theory and center manifold theorem, the linear stability of the system is investigated and Hopf bifurcations are established. Formula determining the direction of bifurcations and the stability of bifurcating periodic solutions are given. Numerical simulations are carried out to illustrate the theoretical results.\",\"PeriodicalId\":6396,\"journal\":{\"name\":\"2010 4th International Conference on Bioinformatics and Biomedical Engineering\",\"volume\":\"170 1\",\"pages\":\"1-4\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-06-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2010 4th International Conference on Bioinformatics and Biomedical Engineering\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICBBE.2010.5515803\",\"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 4th International Conference on Bioinformatics and Biomedical Engineering","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICBBE.2010.5515803","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Qualitative Analysis of a Delayed and Stage-Structured Predator-Prey System
A delayed and stage-structured predator-prey system with Holling type-II functional response is discussed. By using the normal form theory and center manifold theorem, the linear stability of the system is investigated and Hopf bifurcations are established. Formula determining the direction of bifurcations and the stability of bifurcating periodic solutions are given. Numerical simulations are carried out to illustrate the theoretical results.
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