SEIR流行病模型的数值分析

F. Dayan
{"title":"SEIR流行病模型的数值分析","authors":"F. Dayan","doi":"10.32350/sir.71.06","DOIUrl":null,"url":null,"abstract":"This paper is concerned for the numerical methods of susceptible exposed infectious recovered (SEIR) epidemic model of Coronavirus disease factor. The model is handled numerically with three extraordinary numerical scheme, forward Euler, Runge-Kutta Plan (RK-4) and the proposed non-standard finite difference (NSFD) techniques. In epidemic model of infectious illnesses, energy is a demon omen property of the consistent framework since negative worth of a subpopulation is useless. The NSFD technique ends up being more important and trustable numerical system than forward Euler and RK-4 strategies. NSFD technique uses terrifically significant properties of tireless SEIR Coronavirus scourge model like energy and presence of equilibria while forward Euler and RK-4 systems can't hold these characteristics. Furthermore, the proposed NSFD is liberated from time step size while forward Euler and RK-4 depend upon the time step size. The numerical diversions with the aid of a numerical test is presented for the endorsements of the huge number of characteristics.","PeriodicalId":137307,"journal":{"name":"Scientific Inquiry and Review","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2023-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Numerical Analysis of an SEIR Epidemic Model\",\"authors\":\"F. Dayan\",\"doi\":\"10.32350/sir.71.06\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper is concerned for the numerical methods of susceptible exposed infectious recovered (SEIR) epidemic model of Coronavirus disease factor. The model is handled numerically with three extraordinary numerical scheme, forward Euler, Runge-Kutta Plan (RK-4) and the proposed non-standard finite difference (NSFD) techniques. In epidemic model of infectious illnesses, energy is a demon omen property of the consistent framework since negative worth of a subpopulation is useless. The NSFD technique ends up being more important and trustable numerical system than forward Euler and RK-4 strategies. NSFD technique uses terrifically significant properties of tireless SEIR Coronavirus scourge model like energy and presence of equilibria while forward Euler and RK-4 systems can't hold these characteristics. Furthermore, the proposed NSFD is liberated from time step size while forward Euler and RK-4 depend upon the time step size. The numerical diversions with the aid of a numerical test is presented for the endorsements of the huge number of characteristics.\",\"PeriodicalId\":137307,\"journal\":{\"name\":\"Scientific Inquiry and Review\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-03-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Scientific Inquiry and Review\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.32350/sir.71.06\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Scientific Inquiry and Review","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.32350/sir.71.06","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0

摘要

本文研究了冠状病毒病因子易感暴露感染恢复(SEIR)流行模型的数值方法。采用正演欧拉法、龙格-库塔法(RK-4)和提出的非标准有限差分法(NSFD)对模型进行了数值处理。在传染病的流行模型中,能量是一致框架的一个恶魔预兆属性,因为一个亚群的负值是无用的。NSFD技术最终成为比正向欧拉和RK-4策略更重要和可靠的数值系统。NSFD技术利用了不知疲倦的SEIR冠状病毒祸害模型的非常重要的特性,如能量和平衡的存在,而正向欧拉和RK-4系统不能保持这些特性。此外,所提出的NSFD不受时间步长的限制,而前向欧拉和RK-4依赖于时间步长。在数值试验的帮助下,提出了对大量特征的认可的数值偏移。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
Numerical Analysis of an SEIR Epidemic Model
This paper is concerned for the numerical methods of susceptible exposed infectious recovered (SEIR) epidemic model of Coronavirus disease factor. The model is handled numerically with three extraordinary numerical scheme, forward Euler, Runge-Kutta Plan (RK-4) and the proposed non-standard finite difference (NSFD) techniques. In epidemic model of infectious illnesses, energy is a demon omen property of the consistent framework since negative worth of a subpopulation is useless. The NSFD technique ends up being more important and trustable numerical system than forward Euler and RK-4 strategies. NSFD technique uses terrifically significant properties of tireless SEIR Coronavirus scourge model like energy and presence of equilibria while forward Euler and RK-4 systems can't hold these characteristics. Furthermore, the proposed NSFD is liberated from time step size while forward Euler and RK-4 depend upon the time step size. The numerical diversions with the aid of a numerical test is presented for the endorsements of the huge number of characteristics.
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
自引率
0.00%
发文量
0
期刊最新文献
Properties of Graph Based on Divisor-Euler Functions Investigating the Impact of Environmental Toxicology of Heavy Metals in Fish: A Study of Rivers of Pakistan Plant-Extract of Mimusops elengi leaves and Flower-Mediated ZnO Nanoparticles: Synthesis, Characterization, and Biomedical Applications Coefficient Inequalities for Certain Subclass of Starlike Function with respect to Symmetric points related to q-exponential Function Isolation and Identification of Lawsonia Content from the Leaves of Henna (Lawsonia inermis)
×
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
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 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 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1