{"title":"具有捕食者脉冲扰动的延迟阶段结构捕食者-猎物模型","authors":"Wei Wang, Zuoliang Xiong, Lin Zou","doi":"10.1109/ICBBE.2009.5162166","DOIUrl":null,"url":null,"abstract":"In this paper, a delayed stage-structured predator- prey model with the immature prey are taken care of by their parents and biological control strategies (that is releasing natural enemies at different fixed time) is considered. By using comparison theorem, the existence of the globally asymptotically stable prey-eradication periodic solution when the number of releasing natural enemies more than some critical value is proved. The conditions for the permanence of the system are given. Numerical simulation proved the academic results.","PeriodicalId":6430,"journal":{"name":"2009 3rd International Conference on Bioinformatics and Biomedical Engineering","volume":"6 1","pages":"1-4"},"PeriodicalIF":0.0000,"publicationDate":"2009-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"A Delayed Stage-Structured Predator-Prey Model with Impulsive Perturbations on Predator\",\"authors\":\"Wei Wang, Zuoliang Xiong, Lin Zou\",\"doi\":\"10.1109/ICBBE.2009.5162166\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, a delayed stage-structured predator- prey model with the immature prey are taken care of by their parents and biological control strategies (that is releasing natural enemies at different fixed time) is considered. By using comparison theorem, the existence of the globally asymptotically stable prey-eradication periodic solution when the number of releasing natural enemies more than some critical value is proved. The conditions for the permanence of the system are given. Numerical simulation proved the academic results.\",\"PeriodicalId\":6430,\"journal\":{\"name\":\"2009 3rd International Conference on Bioinformatics and Biomedical Engineering\",\"volume\":\"6 1\",\"pages\":\"1-4\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2009-06-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2009 3rd International Conference on Bioinformatics and Biomedical Engineering\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICBBE.2009.5162166\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2009 3rd International Conference on Bioinformatics and Biomedical Engineering","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICBBE.2009.5162166","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A Delayed Stage-Structured Predator-Prey Model with Impulsive Perturbations on Predator
In this paper, a delayed stage-structured predator- prey model with the immature prey are taken care of by their parents and biological control strategies (that is releasing natural enemies at different fixed time) is considered. By using comparison theorem, the existence of the globally asymptotically stable prey-eradication periodic solution when the number of releasing natural enemies more than some critical value is proved. The conditions for the permanence of the system are given. Numerical simulation proved the academic results.
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