{"title":"定量放生政策对种群抑制效果的数学模型","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":"{\"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}","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}
A mathematical model to assess the effect of the constant release policy on population suppression
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