Budi Cahyono, M. Rois
{"title":"寨卡病毒最优控制数学模型","authors":"Budi Cahyono, M. Rois","doi":"10.21580/jnsmr.2020.6.2.3155","DOIUrl":null,"url":null,"abstract":"This study aims to describe the transmission of the Zika virus a mathematical model that was introduced by Ding, Tao, and Zhu (2016). Based on the analysis, obtained a disease-free equilibrium point, then the stability is seen from the basic reproduction number. The basic reproduction numbers show supporting factors and inhibitors of transmission of Zika virus. Then looking for optimal control, the principle is to control transmission of the Zika virus through reducing interactions between mosquitoes and humans, transmission from infected mosquitoes to susceptible humans, and estimates of mosquito deaths by being given insecticides. With the optimal control solution obtained, it produces a strategy to prevent and control the Zika virus and does not incur expensive costs.©2020 JNSMR UIN Walisongo. All rights reserved.","PeriodicalId":191192,"journal":{"name":"Journal of Natural Sciences and Mathematics Research","volume":"191 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Optimal control mathematical model of Zika Virus\",\"authors\":\"Budi Cahyono, M. Rois\",\"doi\":\"10.21580/jnsmr.2020.6.2.3155\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This study aims to describe the transmission of the Zika virus a mathematical model that was introduced by Ding, Tao, and Zhu (2016). Based on the analysis, obtained a disease-free equilibrium point, then the stability is seen from the basic reproduction number. The basic reproduction numbers show supporting factors and inhibitors of transmission of Zika virus. Then looking for optimal control, the principle is to control transmission of the Zika virus through reducing interactions between mosquitoes and humans, transmission from infected mosquitoes to susceptible humans, and estimates of mosquito deaths by being given insecticides. With the optimal control solution obtained, it produces a strategy to prevent and control the Zika virus and does not incur expensive costs.©2020 JNSMR UIN Walisongo. All rights reserved.\",\"PeriodicalId\":191192,\"journal\":{\"name\":\"Journal of Natural Sciences and Mathematics Research\",\"volume\":\"191 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-12-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Natural Sciences and Mathematics Research\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.21580/jnsmr.2020.6.2.3155\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Natural Sciences and Mathematics Research","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.21580/jnsmr.2020.6.2.3155","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Optimal control mathematical model of Zika Virus
This study aims to describe the transmission of the Zika virus a mathematical model that was introduced by Ding, Tao, and Zhu (2016). Based on the analysis, obtained a disease-free equilibrium point, then the stability is seen from the basic reproduction number. The basic reproduction numbers show supporting factors and inhibitors of transmission of Zika virus. Then looking for optimal control, the principle is to control transmission of the Zika virus through reducing interactions between mosquitoes and humans, transmission from infected mosquitoes to susceptible humans, and estimates of mosquito deaths by being given insecticides. With the optimal control solution obtained, it produces a strategy to prevent and control the Zika virus and does not incur expensive costs.©2020 JNSMR UIN Walisongo. All rights reserved.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
