{"title":"具有离散时滞的两个猎物和一个捕食者相互作用模型分析","authors":"","doi":"10.28924/apjm/10-28","DOIUrl":null,"url":null,"abstract":". Mathematical modeling is essential in both human and natural systems. In this work, we explore two prey and one predator models having Holling type I functional behaviors. We used a discrete-time delay to illustrate the permanence and boundedness of the system. We also characterized and displayed the stability and Hopf - Bifurcation for the competition model. Furthermore, we carried out the numerical simulation and experimental results to realize the impact of our model","PeriodicalId":33214,"journal":{"name":"Asia Pacific Journal of Mathematics","volume":"35 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Analysis of Two Prey and One Predator Interaction Model With Discrete Time Delay\",\"authors\":\"\",\"doi\":\"10.28924/apjm/10-28\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". Mathematical modeling is essential in both human and natural systems. In this work, we explore two prey and one predator models having Holling type I functional behaviors. We used a discrete-time delay to illustrate the permanence and boundedness of the system. We also characterized and displayed the stability and Hopf - Bifurcation for the competition model. Furthermore, we carried out the numerical simulation and experimental results to realize the impact of our model\",\"PeriodicalId\":33214,\"journal\":{\"name\":\"Asia Pacific Journal of Mathematics\",\"volume\":\"35 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Asia Pacific Journal of Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.28924/apjm/10-28\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Asia Pacific Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.28924/apjm/10-28","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
Analysis of Two Prey and One Predator Interaction Model With Discrete Time Delay
. Mathematical modeling is essential in both human and natural systems. In this work, we explore two prey and one predator models having Holling type I functional behaviors. We used a discrete-time delay to illustrate the permanence and boundedness of the system. We also characterized and displayed the stability and Hopf - Bifurcation for the competition model. Furthermore, we carried out the numerical simulation and experimental results to realize the impact of our model