{"title":"Dynamics and Neimark-Sacker Bifurcation of a Modified Nicholson-Bailey Model","authors":"M. H. Akrami, A. Atabaigi","doi":"10.30495/JME.V0I0.1695","DOIUrl":null,"url":null,"abstract":"In this paper, the dynamics of a modied Nicholson-Baileymodel as a discrete dynamical system has been studied. Local dynamics in a neighborhood of boundary xed points are investigated. Itis also proved that the model has a unique positive xed point and a Neimark-Sacker bifurcation emerges at this xed point. Some numericalsimulations are presented to illustrate the analytical results.","PeriodicalId":43745,"journal":{"name":"Journal of Mathematical Extension","volume":" ","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2021-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical Extension","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.30495/JME.V0I0.1695","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 2
Abstract
In this paper, the dynamics of a modied Nicholson-Baileymodel as a discrete dynamical system has been studied. Local dynamics in a neighborhood of boundary xed points are investigated. Itis also proved that the model has a unique positive xed point and a Neimark-Sacker bifurcation emerges at this xed point. Some numericalsimulations are presented to illustrate the analytical results.
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