{"title":"Dynamics of a two prey and one predator system with time interruption and random fluctuations","authors":"K. Shiva Reddy , M.N. Srinivas , C.V. Pavan Kumar","doi":"10.1016/j.psra.2016.10.002","DOIUrl":null,"url":null,"abstract":"<div><p>The present work focuses on the dynamics of a two prey and one predator model where the preys are subjected to the logistic growth law and the predator is subjected to the mortality rate and intra specific competition. The effects of time delay and random environmental fluctuations on the stability of the model around the interior equilibrium point are analytically tested using classical mathematical tools. The stable, periodic and chaotic behaviours of the model for different sets of chosen parameters are explored in numerical simulations.</p></div>","PeriodicalId":100999,"journal":{"name":"Pacific Science Review A: Natural Science and Engineering","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2016-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.psra.2016.10.002","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Pacific Science Review A: Natural Science and Engineering","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2405882316300709","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
The present work focuses on the dynamics of a two prey and one predator model where the preys are subjected to the logistic growth law and the predator is subjected to the mortality rate and intra specific competition. The effects of time delay and random environmental fluctuations on the stability of the model around the interior equilibrium point are analytically tested using classical mathematical tools. The stable, periodic and chaotic behaviours of the model for different sets of chosen parameters are explored in numerical simulations.
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