{"title":"带收获的兼性互惠模型的最优控制","authors":"Liangcheng Wang, Min Wang","doi":"10.7153/DEA-2020-12-02","DOIUrl":null,"url":null,"abstract":". In this article, we propose a general facultative mutualistic model with harvesting and investigate an associated optimal control problem. The suf fi cient and the necessary conditions for the existence of the optimal control are studied. Numerical simulations are carried out to show the ef fi ciency of the proposed control.","PeriodicalId":51863,"journal":{"name":"Differential Equations & Applications","volume":"1 1","pages":""},"PeriodicalIF":0.7000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Optimal control to a facultative mutualistic model with harvesting\",\"authors\":\"Liangcheng Wang, Min Wang\",\"doi\":\"10.7153/DEA-2020-12-02\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". In this article, we propose a general facultative mutualistic model with harvesting and investigate an associated optimal control problem. The suf fi cient and the necessary conditions for the existence of the optimal control are studied. Numerical simulations are carried out to show the ef fi ciency of the proposed control.\",\"PeriodicalId\":51863,\"journal\":{\"name\":\"Differential Equations & Applications\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Differential Equations & Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.7153/DEA-2020-12-02\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Differential Equations & Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7153/DEA-2020-12-02","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
Optimal control to a facultative mutualistic model with harvesting
. In this article, we propose a general facultative mutualistic model with harvesting and investigate an associated optimal control problem. The suf fi cient and the necessary conditions for the existence of the optimal control are studied. Numerical simulations are carried out to show the ef fi ciency of the proposed control.