• 文献检索
  • 文档翻译
  • 深度研究
  • 学术资讯
  • Suppr Zotero 插件Zotero 插件
  • 邀请有礼
  • 套餐&价格
  • 历史记录
应用&插件
Suppr Zotero 插件Zotero 插件浏览器插件Mac 客户端Windows 客户端微信小程序
定价
高级版会员购买积分包购买API积分包
服务
文献检索文档翻译深度研究API 文档MCP 服务
关于我们
关于 Suppr公司介绍联系我们用户协议隐私条款
关注我们

Suppr 超能文献

核心技术专利：CN118964589B侵权必究
粤ICP备2023148730 号-1Suppr @ 2026

文献检索

告别复杂PubMed语法，用中文像聊天一样搜索，搜遍4000万医学文献。AI智能推荐，让科研检索更轻松。

立即免费搜索

文件翻译

保留排版，准确专业，支持PDF/Word/PPT等文件格式，支持 12+语言互译。

免费翻译文档

深度研究

AI帮你快速写综述，25分钟生成高质量综述，智能提取关键信息，辅助科研写作。

立即免费体验

关于涉及阿坦加纳-巴莱亚努分数阶导数的COVID-19动力学建模及基于多贝西框架小波模拟

On the dynamical modeling of COVID-19 involving Atangana-Baleanu fractional derivative and based on Daubechies framelet simulations.

作者信息

Mohammad Mutaz, Trounev Alexander

机构信息

Zayed University, United Arab Emirates.

Kuban State Agrarian University, Russia.

出版信息

Chaos Solitons Fractals. 2020 Nov;140:110171. doi: 10.1016/j.chaos.2020.110171. Epub 2020 Jul 28.

DOI:10.1016/j.chaos.2020.110171
PMID:32834652
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7386312/
Abstract

In this paper, we present a novel fractional order COVID-19 mathematical model by involving fractional order with specific parameters. The new fractional model is based on the well-known Atangana-Baleanu fractional derivative with non-singular kernel. The proposed system is developed using eight fractional-order nonlinear differential equations. The Daubechies framelet system of the model is used to simulate the nonlinear differential equations presented in this paper. The framelet system is generated based on the quasi-affine setting. In order to validate the numerical scheme, we provide numerical simulations of all variables given in the model.

摘要

在本文中，我们通过引入具有特定参数的分数阶，提出了一种新型的COVID-19分数阶数学模型。新的分数阶模型基于著名的具有非奇异核的阿坦加纳-巴莱亚努分数阶导数。所提出的系统是使用八个分数阶非线性微分方程开发的。该模型的Daubechies小波框架系统用于模拟本文中提出的非线性微分方程。小波框架系统是基于拟仿射设置生成的。为了验证数值方案，我们对模型中给出的所有变量进行了数值模拟。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fc3b/7386312/e350820e0938/gr8_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fc3b/7386312/ed0194ff1eea/gr1_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fc3b/7386312/d641baed96eb/gr2_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fc3b/7386312/02dbf6bfea7d/gr3_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fc3b/7386312/3517f459ce79/gr4_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fc3b/7386312/e216ca373cfc/gr5_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fc3b/7386312/509aecb5e5da/gr6_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fc3b/7386312/9b0e0d5a7559/gr7_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fc3b/7386312/e350820e0938/gr8_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fc3b/7386312/ed0194ff1eea/gr1_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fc3b/7386312/d641baed96eb/gr2_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fc3b/7386312/02dbf6bfea7d/gr3_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fc3b/7386312/3517f459ce79/gr4_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fc3b/7386312/e216ca373cfc/gr5_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fc3b/7386312/509aecb5e5da/gr6_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fc3b/7386312/9b0e0d5a7559/gr7_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fc3b/7386312/e350820e0938/gr8_lrg.jpg

相似文献

1
On the dynamical modeling of COVID-19 involving Atangana-Baleanu fractional derivative and based on Daubechies framelet simulations.关于涉及阿坦加纳-巴莱亚努分数阶导数的COVID-19动力学建模及基于多贝西框架小波模拟
Chaos Solitons Fractals. 2020 Nov;140:110171. doi: 10.1016/j.chaos.2020.110171. Epub 2020 Jul 28.
2
Analysis of nonlinear Burgers equation with time fractional Atangana-Baleanu-Caputo derivative.具有时间分数阶阿坦加纳-巴莱努-卡普托导数的非线性伯格斯方程分析
Heliyon. 2024 Jul 3;10(13):e33842. doi: 10.1016/j.heliyon.2024.e33842. eCollection 2024 Jul 15.
3
Numerical solutions of the fractional Fisher's type equations with Atangana-Baleanu fractional derivative by using spectral collocation methods.基于谱配置方法求解具有阿坦加纳-巴莱亚努分数阶导数的分数阶Fisher型方程的数值解
Chaos. 2019 Feb;29(2):023116. doi: 10.1063/1.5086771.
4
Application of Newton's polynomial interpolation scheme for variable order fractional derivative with power-law kernel.牛顿多项式插值方案在具有幂律核的变阶分数阶导数中的应用。
Sci Rep. 2024 Jul 12;14(1):16090. doi: 10.1038/s41598-024-66494-z.
5
On the formulation of Adams-Bashforth scheme with Atangana-Baleanu-Caputo fractional derivative to model chaotic problems.关于用阿坦加纳 - 巴莱亚努 - 卡普托分数阶导数建立亚当斯 - 巴什福斯格式以模拟混沌问题。
Chaos. 2019 Feb;29(2):023111. doi: 10.1063/1.5085490.
6
An efficient technique based on cubic B-spline functions for solving time-fractional advection diffusion equation involving Atangana-Baleanu derivative.一种基于三次B样条函数求解包含阿坦加纳-巴莱亚努导数的时间分数阶对流扩散方程的有效技术。
Eng Comput. 2022;38(1):901-917. doi: 10.1007/s00366-021-01490-9. Epub 2021 Aug 4.
7
Fractional Herglotz variational problems with Atangana-Baleanu fractional derivatives.具有阿坦加纳-巴莱努分数阶导数的分数阶赫格洛茨变分问题。
J Inequal Appl. 2018;2018(1):44. doi: 10.1186/s13660-018-1635-9. Epub 2018 Feb 17.
8
A mathematical study on a fractional COVID-19 transmission model within the framework of nonsingular and nonlocal kernel.在非奇异和非局部核框架下的分数阶COVID-19传播模型的数学研究
Chaos Solitons Fractals. 2021 Nov;152:111427. doi: 10.1016/j.chaos.2021.111427. Epub 2021 Sep 20.
9
Two-strain epidemic model involving fractional derivative with Mittag-Leffler kernel.具有米塔格-莱夫勒核的分数阶导数的两菌株流行模型。
Chaos. 2018 Dec;28(12):123121. doi: 10.1063/1.5074084.
10
Existence and data dependence results for fractional differential equations involving atangana-baleanu derivative.涉及阿坦加纳 - 巴莱努导数的分数阶微分方程的存在性和数据依赖性结果。
Rend Circ Mat Palermo. 2022;71(2):647-663. doi: 10.1007/s12215-021-00622-w. Epub 2021 Jun 17.

引用本文的文献

1
On fractal-fractional Covid-19 mathematical model.关于分形分数阶新冠病毒19数学模型。
Chaos Solitons Fractals. 2022 Apr;157:111937. doi: 10.1016/j.chaos.2022.111937. Epub 2022 Feb 25.
2
A fractional-order mathematical model for COVID-19 outbreak with the effect of symptomatic and asymptomatic transmissions.一种考虑有症状和无症状传播影响的COVID-19疫情的分数阶数学模型。
Eur Phys J Plus. 2022;137(3):395. doi: 10.1140/epjp/s13360-022-02603-z. Epub 2022 Mar 28.
3
Lessons drawn from China and South Korea for managing COVID-19 epidemic: Insights from a comparative modeling study.

本文引用的文献

1
The dynamics of COVID-19 in the UAE based on fractional derivative modeling using Riesz wavelets simulation.基于使用里斯小波模拟的分数阶导数建模的阿联酋新冠疫情动态。
Adv Differ Equ. 2021;2021(1):115. doi: 10.1186/s13662-021-03262-7. Epub 2021 Feb 19.
2
An Efficient Method Based on Framelets for Solving Fractional Volterra Integral Equations.一种基于框架小波求解分数阶Volterra积分方程的有效方法。
Entropy (Basel). 2020 Jul 28;22(8):824. doi: 10.3390/e22080824.
3
Modelling the spread of COVID-19 with new fractal-fractional operators: Can the lockdown save mankind before vaccination?
从中国和韩国管理 COVID-19 疫情中吸取的教训：一项比较建模研究的启示。
ISA Trans. 2022 May;124:164-175. doi: 10.1016/j.isatra.2021.12.004. Epub 2021 Dec 28.
4
Threshold dynamics of difference equations for SEIR model with nonlinear incidence function and infinite delay.具有非线性发生率函数和无限时滞的SEIR模型差分方程的阈值动力学
Eur Phys J Plus. 2021;136(5):587. doi: 10.1140/epjp/s13360-021-01466-0. Epub 2021 May 27.
5
A fractional order SITR mathematical model for forecasting of transmission of COVID-19 of India with lockdown effect.一种用于预测印度新冠疫情传播且考虑封锁效应的分数阶SITR数学模型。
Results Phys. 2021 May;24:104067. doi: 10.1016/j.rinp.2021.104067. Epub 2021 Mar 23.
6
The dynamics of COVID-19 in the UAE based on fractional derivative modeling using Riesz wavelets simulation.基于使用里斯小波模拟的分数阶导数建模的阿联酋新冠疫情动态。
Adv Differ Equ. 2021;2021(1):115. doi: 10.1186/s13662-021-03262-7. Epub 2021 Feb 19.
7
A report on COVID-19 epidemic in Pakistan using SEIR fractional model.巴基斯坦 COVID-19 疫情报告：使用 SEIR 分数阶模型。
Sci Rep. 2020 Dec 17;10(1):22268. doi: 10.1038/s41598-020-79405-9.
8
Complex dynamics in susceptible-infected models for COVID-19 with multi-drug resistance.具有多重耐药性的COVID-19易感-感染模型中的复杂动力学
Chaos Solitons Fractals. 2020 Nov;140:110257. doi: 10.1016/j.chaos.2020.110257. Epub 2020 Aug 29.
用新的分形分数算子对COVID-19传播进行建模：封锁措施能否在疫苗接种前拯救人类？
Chaos Solitons Fractals. 2020 Jul;136:109860. doi: 10.1016/j.chaos.2020.109860. Epub 2020 May 29.
4
Mathematical modeling of COVID-19 transmission dynamics with a case study of Wuhan.基于武汉案例研究的新冠病毒传播动力学数学建模
Chaos Solitons Fractals. 2020 Jun;135:109846. doi: 10.1016/j.chaos.2020.109846. Epub 2020 Apr 27.