{"title":"一类具有离散和分布时滞的部分依赖捕食系统的稳定性和Hopf分岔分析","authors":"Yunxian Dai, Huitao Zhao, Yiping Lin","doi":"10.1109/IWCFTA.2012.20","DOIUrl":null,"url":null,"abstract":"In this paper, a partial dependent prey-predator model with discrete and distributed delays is studied by using the theory of functional differential equation and Hassard's method, the conditions on which positive equilibrium exists and Hopf bifurcation occurs are given, finally, numerical simulations are also included.","PeriodicalId":354870,"journal":{"name":"2012 Fifth International Workshop on Chaos-fractals Theories and Applications","volume":"81 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2012-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Stability and Hopf Bifurcation Analysis on a Partial Dependent Predator-prey System with Discrete and Distributed Delays\",\"authors\":\"Yunxian Dai, Huitao Zhao, Yiping Lin\",\"doi\":\"10.1109/IWCFTA.2012.20\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, a partial dependent prey-predator model with discrete and distributed delays is studied by using the theory of functional differential equation and Hassard's method, the conditions on which positive equilibrium exists and Hopf bifurcation occurs are given, finally, numerical simulations are also included.\",\"PeriodicalId\":354870,\"journal\":{\"name\":\"2012 Fifth International Workshop on Chaos-fractals Theories and Applications\",\"volume\":\"81 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2012-10-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2012 Fifth International Workshop on Chaos-fractals Theories and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/IWCFTA.2012.20\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2012 Fifth International Workshop on Chaos-fractals Theories and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/IWCFTA.2012.20","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Stability and Hopf Bifurcation Analysis on a Partial Dependent Predator-prey System with Discrete and Distributed Delays
In this paper, a partial dependent prey-predator model with discrete and distributed delays is studied by using the theory of functional differential equation and Hassard's method, the conditions on which positive equilibrium exists and Hopf bifurcation occurs are given, finally, numerical simulations are also included.
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