{"title":"具有非线性增长率的捕食者-食饵模型的计算机数值模拟与定性分析","authors":"Xiukai Guo","doi":"10.1109/ICIC.2011.126","DOIUrl":null,"url":null,"abstract":"In this paper a class of two species mutual interference predator-prey model with nonlinear increasing rate and functional response is studied. The stability of equilibrium, the sufficient conditions of nonexistence and conditions of the existence and uniqueness of the limit cycle around the positive equilibrium of the system are discussed. Some new results obtained, the theoretical results in this paper are confirmed by numerical simulations.","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\":\"The Computer Numerical Simulations and Qualitative Analysis of a Predator-Prey Model with Nonlinear Increasing Rate\",\"authors\":\"Xiukai Guo\",\"doi\":\"10.1109/ICIC.2011.126\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper a class of two species mutual interference predator-prey model with nonlinear increasing rate and functional response is studied. The stability of equilibrium, the sufficient conditions of nonexistence and conditions of the existence and uniqueness of the limit cycle around the positive equilibrium of the system are discussed. Some new results obtained, the theoretical results in this paper are confirmed by numerical simulations.\",\"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.2011.126\",\"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.2011.126","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The Computer Numerical Simulations and Qualitative Analysis of a Predator-Prey Model with Nonlinear Increasing Rate
In this paper a class of two species mutual interference predator-prey model with nonlinear increasing rate and functional response is studied. The stability of equilibrium, the sufficient conditions of nonexistence and conditions of the existence and uniqueness of the limit cycle around the positive equilibrium of the system are discussed. Some new results obtained, the theoretical results in this paper are confirmed by numerical simulations.
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