{"title":"时滞采收的三物种食物链系统动力学行为","authors":"Xinghua Huang, Yiping Lin","doi":"10.1109/IWCFTA.2010.25","DOIUrl":null,"url":null,"abstract":"A three species food chain model with time delayed harvesting is concerned. 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 performed to support the analytical results, and the chaotic behaviors are observed.","PeriodicalId":157339,"journal":{"name":"2010 International Workshop on Chaos-Fractal Theories and Applications","volume":"29 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Dynamical Behaviors of a Three Species Food Chain System with Time Delayed Harvesting\",\"authors\":\"Xinghua Huang, Yiping Lin\",\"doi\":\"10.1109/IWCFTA.2010.25\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A three species food chain model with time delayed harvesting is concerned. 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 performed to support the analytical results, and the chaotic behaviors are observed.\",\"PeriodicalId\":157339,\"journal\":{\"name\":\"2010 International Workshop on Chaos-Fractal Theories and Applications\",\"volume\":\"29 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-10-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2010 International Workshop on Chaos-Fractal Theories and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/IWCFTA.2010.25\",\"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 International Workshop on Chaos-Fractal Theories and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/IWCFTA.2010.25","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Dynamical Behaviors of a Three Species Food Chain System with Time Delayed Harvesting
A three species food chain model with time delayed harvesting is concerned. 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 performed to support the analytical results, and the chaotic behaviors are observed.
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