{"title":"A mathematical model to assess the effect of the constant release policy on population suppression","authors":"Bo Zheng, Yugeng Xiao","doi":"10.12988/NADE.2017.735","DOIUrl":null,"url":null,"abstract":"In this paper, we developed a mathematical model to assess the effect of the constant release policy on population suppression. We found a threshold value of the number of infected males released to guarantee the successful population suppression, above which the wild mosquito population will be eradicated, and below which the wild population will outcompete the released males. Mathematics Subject Classification: 92B05, 37N25, 34D23, 92D30","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","volume":"30 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nonlinear Analysis and Differential Equations","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12988/NADE.2017.735","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
In this paper, we developed a mathematical model to assess the effect of the constant release policy on population suppression. We found a threshold value of the number of infected males released to guarantee the successful population suppression, above which the wild mosquito population will be eradicated, and below which the wild population will outcompete the released males. Mathematics Subject Classification: 92B05, 37N25, 34D23, 92D30