Model Matematika Penyebaran Penyakit Bakteri Pumbuluh Kayu Cengkeh (BPKC)

Chijra, R. Ratianingsih, Hajar
{"title":"Model Matematika Penyebaran Penyakit Bakteri Pumbuluh Kayu Cengkeh (BPKC)","authors":"Chijra, R. Ratianingsih, Hajar","doi":"10.22487/2540766x.2019.v16.i2.14985","DOIUrl":null,"url":null,"abstract":"ABSTRACTClove wood vessels is one of the most damaging diseases of clove plants. This disease is caused by the bacterial Ralstonia Syzygii. the bacterial Rasltonia Syzygii lives in clove wood vessels. The bacterial Ralstonia Syzygii ispread through the Hindola Spp vector. The matemathical model that represents the spread of the disease isdeveloped from the SEI model (Suspectible, Exposed, Infected). The model gives 4 critical points 𝑇1, 𝑇2, 𝑇3 and 𝑇4 exist interaction between bacterial population Ralstonia Syzygii and Hindola Spp vector is less than the level of vulnerable clove recruitman divided by carrying capacity of Ralstonia Syzygii bacterial multiplied by Hindola Spp carrying capacity. The results of system stability analysis at the critical point using linearization give unstable three critical points 𝑇1, 𝑇2, 𝑇3which describes equilibrium conditions and a stable 𝑇4 critical point which describes endemic conditions. Numerical simulations are carried out to describe temporary disease-free conditions, and stable endemic conditionsKeywords  : Clove Wood vessel Disease, Linierization Method, SEI Model","PeriodicalId":259622,"journal":{"name":"JURNAL ILMIAH MATEMATIKA DAN TERAPAN","volume":"21 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"JURNAL ILMIAH MATEMATIKA DAN TERAPAN","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22487/2540766x.2019.v16.i2.14985","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

ABSTRACTClove wood vessels is one of the most damaging diseases of clove plants. This disease is caused by the bacterial Ralstonia Syzygii. the bacterial Rasltonia Syzygii lives in clove wood vessels. The bacterial Ralstonia Syzygii ispread through the Hindola Spp vector. The matemathical model that represents the spread of the disease isdeveloped from the SEI model (Suspectible, Exposed, Infected). The model gives 4 critical points 𝑇1, 𝑇2, 𝑇3 and 𝑇4 exist interaction between bacterial population Ralstonia Syzygii and Hindola Spp vector is less than the level of vulnerable clove recruitman divided by carrying capacity of Ralstonia Syzygii bacterial multiplied by Hindola Spp carrying capacity. The results of system stability analysis at the critical point using linearization give unstable three critical points 𝑇1, 𝑇2, 𝑇3which describes equilibrium conditions and a stable 𝑇4 critical point which describes endemic conditions. Numerical simulations are carried out to describe temporary disease-free conditions, and stable endemic conditionsKeywords  : Clove Wood vessel Disease, Linierization Method, SEI Model
数学模型传播丁香菌病(BPKC)
【摘要】丁香木血管病是丁香植物中危害最大的病害之一。这种疾病是由细菌拉氏菌引起的。细菌拉丝顿氏菌生活在丁香木容器中。细菌拉尔斯顿菌通过印度属媒介传播。表示疾病传播的数学模型是从SEI模型(可疑、暴露、感染)发展而来的。模型给出4个临界点𝑇1、𝑇2、𝑇3和𝑇4,细菌种群间存在相互作用,载体小于易感丁香招募者水平除以Ralstonia Syzygii细菌承载能力乘以Hindola Spp承载能力。采用线性化方法对系统在临界点处的稳定性分析结果给出了不稳定的三个临界点𝑇1,𝑇2,𝑇3which描述了平衡条件和一个稳定的𝑇4临界点描述了特有条件。关键词:丁香木血管病,线性化方法,SEI模型
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
来源期刊
自引率
0.00%
发文量
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信