{"title":"具有时间中断和随机波动的两个猎物和一个捕食者系统动力学","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":"{\"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}","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}
Dynamics of a two prey and one predator system with time interruption and random fluctuations
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.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
