{"title":"Dynamic Analysis of a Predator-Prey Model with Holling-II Functional Response","authors":"Jiemin Mo, Wanying Li, Donghuan He, Songbo Wang, Xiaoliang Zhou","doi":"10.4236/jamp.2023.1110188","DOIUrl":null,"url":null,"abstract":"A predator-prey model with linear capture term Holling-II functional response was studied by using differential equation theory. The existence and the stabilities of non-negative equilibrium points of the model were discussed. The results show that under certain limited conditions, these two groups can maintain a balanced position, which provides a theoretical reference for relevant departments to make decisions on ecological protection.","PeriodicalId":15035,"journal":{"name":"Journal of Applied Mathematics and Physics","volume":"58 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":"Journal of Applied Mathematics and Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4236/jamp.2023.1110188","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
A predator-prey model with linear capture term Holling-II functional response was studied by using differential equation theory. The existence and the stabilities of non-negative equilibrium points of the model were discussed. The results show that under certain limited conditions, these two groups can maintain a balanced position, which provides a theoretical reference for relevant departments to make decisions on ecological protection.