A fractional-order model for CoViD-19 dynamics with reinfection and the importance of quarantine

被引：11
|
作者：
de Carvalho, Joao P. S. Mauricio [1 ]
Moreira-Pinto, Beatriz [2 ]
机构：
[1] Univ Porto, Fac Sci, Rua Campo Alegre S-N, P-4169007 Porto, Portugal
[2] Univ Porto, Fac Pharm, REQUIMTE, UCIBIO, Rua Jorge Viterdo Ferreira 228, P-4050313 Porto, Portugal
来源：
CHAOS SOLITONS & FRACTALS | 2021年 / 151卷
关键词：
COVID-19; Reinfection; Mathematical model; Epidemic model; Fractional calculus;
D O I：
10.1016/j.chaos.2021.111275
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Coronavirus disease 2019 (CoViD-19) is an infectious disease caused by severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2). Among many symptoms, cough, fever and tiredness are the most common. People over 60 years old and with associated comorbidities are most likely to develop a worsening health condition. This paper proposes a non-integer order model to describe the dynamics of CoViD-19 in a standard population. The model incorporates the reinfection rate in the individuals recovered from the disease. Numerical simulations are performed for different values of the order of the fractional derivative and of reinfection rate. The results are discussed from a biological point of view. (c) 2021 Elsevier Ltd. All rights reserved.
引用
收藏
页数：7
相关论文
共 50 条
  • [1] 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
    [J]. AXIOMS, 2023, 12 (06)
  • [2] Modeling of fractional-order COVID-19 epidemic model with quarantine and social distancing
    Farman, Muhammad
    Aslam, Muhammad
    Akgul, Ali
    Ahmad, Aqeel
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (11) : 9334 - 9350
  • [3] Control of COVID-19 dynamics through a fractional-order model
    Bushnaq, Samia
    Saeed, Tareq
    Torres, Delfim F. M.
    Zeb, Anwar
    [J]. ALEXANDRIA ENGINEERING JOURNAL, 2021, 60 (04) : 3587 - 3592
  • [4] Dynamics of a Fractional-Order Delayed Model of COVID-19 with Vaccination Efficacy
    Rihan, Fathalla A.
    Kandasamy, Udhayakumar
    Alsakaji, Hebatallah J.
    Sottocornola, Nicola
    [J]. VACCINES, 2023, 11 (04)
  • [5] Fractional-order backstepping strategy for fractional-order model of COVID-19 outbreak
    Veisi, Amir
    Delavari, Hadi
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 45 (07) : 3479 - 3496
  • [6] Fractional-Order SEIQRDP Model for Simulating the Dynamics of COVID-19 Epidemic
    Bahloul, Mohamed A.
    Chahid, Abderrazak
    Laleg-Kirati, Taous-Meriem
    [J]. IEEE OPEN JOURNAL OF ENGINEERING IN MEDICINE AND BIOLOGY, 2020, 1 : 249 - 256
  • [7] Stability analysis of COVID-19 model with fractional-order derivative and a delay in implementing the quarantine strategy
    Hikal, M. M.
    Elsheikh, M. M. A.
    Zahra, W. K.
    [J]. JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2022, 68 (01) : 295 - 321
  • [8] Stability analysis of COVID-19 model with fractional-order derivative and a delay in implementing the quarantine strategy
    M. M. Hikal
    M. M. A. Elsheikh
    W. K. Zahra
    [J]. Journal of Applied Mathematics and Computing, 2022, 68 : 295 - 321
  • [9] Impact of quarantine on fractional order dynamical model of Covid-19
    Singh, Ram
    Tiwari, Prayag
    Band, Shahab S.
    Rehman, Attiq U.
    Mahajan, Shubham
    Ding, Yijie
    Liu, Xiaobin
    Pandit, Amit Kant
    [J]. COMPUTERS IN BIOLOGY AND MEDICINE, 2022, 151
  • [10] Fractional-order model on vaccination and severity of COVID-19
    Nita H. Shah
    Ekta N. Jayswal
    Ankush H. Suthar
    [J]. International Journal of Dynamics and Control, 2023, 11 : 1363 - 1374
12345