Fractal fractional based transmission dynamics of COVID-19 epidemic model

被引:28
|
作者
Liu, Peijiang [1 ,2 ]
Rahman, Mati ur [3 ]
Din, Anwarud [4 ]
机构
[1] Guangdong Univ Finance & Econ, Sch Stat & Math, Big Data & Educ Stat Applicat Lab, Guangzhou, Peoples R China
[2] Guangdong Univ Finance & Econ, Sch Stat & Math, Guangzhou, Peoples R China
[3] Shanghai Jiao Tong Univ, Dept Math, Shanghai, Peoples R China
[4] Sun Yat Sen Univ, Dept Math, Guangzhou, Peoples R China
关键词
COVID-19 epidemic model; fractal-fractional order problem; stability analysis; real statistic; Iterative technique of Adams-Bashforth; newton polynomial;
D O I
10.1080/10255842.2022.2040489
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
We investigate the dynamical behavior of Coronavirus (COVID-19) for different infections phases and multiple routes of transmission. In this regard, we study a COVID-19 model in the context of fractal-fractional order operator. First, we study the COVID-19 dynamics with a fractal fractional-order operator in the framework of Atangana-Baleanu fractal-fractional operator. We estimated the basic reduction number and the stability results of the proposed model. We show the data fitting to the proposed model. The system has been investigated for qualitative analysis. Novel numerical methods are introduced for the derivation of an iterative scheme of the fractal-fractional Atangana-Baleanu order. Finally, numerical simulations are performed for various orders of fractal-fractional dimension.
引用
收藏
页码:1852 / 1869
页数:18
相关论文
共 50 条
  • [21] Dynamics of a Fractional-Order COVID-19 Epidemic Model with Quarantine and Standard Incidence Rate
    Trisilowati
    Darti, Isnani
    Musafir, Raqqasyi Rahmatullah
    Rayungsari, Maya
    Suryanto, Agus
    AXIOMS, 2023, 12 (06)
  • [22] Model-based assessment of COVID-19 epidemic dynamics by wastewater analysis
    Proverbio, Daniele
    Kemp, Francoise
    Magni, Stefano
    Ogorzaly, Leslie
    Cauchie, Henry-Michel
    Goncalves, Jorge
    Skupin, Alexander
    Aalto, Atte
    SCIENCE OF THE TOTAL ENVIRONMENT, 2022, 827
  • [23] Modeling the impact of the vaccine on the COVID-19 epidemic transmission via fractional derivative
    Arshad, Sadia
    Khalid, Sadia
    Javed, Sana
    Amin, Naima
    Nawaz, Fariha
    EUROPEAN PHYSICAL JOURNAL PLUS, 2022, 137 (07):
  • [24] Modeling the impact of the vaccine on the COVID-19 epidemic transmission via fractional derivative
    Sadia Arshad
    Sadia Khalid
    Sana Javed
    Naima Amin
    Fariha Nawaz
    The European Physical Journal Plus, 137
  • [25] Reconstruction of the transmission dynamics of the first COVID-19 epidemic wave in Thailand
    Chaiwat Wilasang
    Natcha C. Jitsuk
    Chayanin Sararat
    Charin Modchang
    Scientific Reports, 12
  • [26] Reconstruction of the transmission dynamics of the first COVID-19 epidemic wave in Thailand
    Wilasang, Chaiwat
    Jitsuk, Natcha C.
    Sararat, Chayanin
    Modchang, Charin
    SCIENTIFIC REPORTS, 2022, 12 (01)
  • [27] Mathematical Analysis of Fractal-Fractional Mathematical Model of COVID-19
    Sinan, Muhammad
    Alharthi, Nadiyah Hussain
    FRACTAL AND FRACTIONAL, 2023, 7 (05)
  • [28] A STUDY FOR FRACTIONAL ORDER EPIDEMIC MODEL OF COVID-19 SPREAD WITH VACCINATION
    Muhafzan
    Zulakmal
    Baqi, Ahmad Iqbal
    Rudianto, Budi
    Efendi
    COMMUNICATIONS IN MATHEMATICAL BIOLOGY AND NEUROSCIENCE, 2023,
  • [29] A Fuzzy Fractional Order Approach to SIDARTHE Epidemic Model for COVID-19
    Chellamani, P.
    Julietraja, K.
    Alsinai, Ammar
    Ahmed, Hanan
    Complexity, 2022, 2022
  • [30] A report on COVID-19 epidemic in Pakistan using SEIR fractional model
    Zubair Ahmad
    Muhammad Arif
    Farhad Ali
    Ilyas Khan
    Kottakkaran Sooppy Nisar
    Scientific Reports, 10