Transmission dynamics of monkeypox virus with treatment and vaccination controls: a fractional order mathematical approach

被引:29
|
作者
Majee, Suvankar [1 ]
Jana, Soovoojeet [2 ]
Barman, Snehasis [1 ]
Kar, T. K. [1 ]
机构
[1] Indian Inst Engn Sci & Technol, Dept Math, Howrah 711103, West Bengal, India
[2] Ramsaday Coll, Dept Math, Howrah 711401, West Bengal, India
关键词
monkeypox virus; fractional order model; transcritical bifurcation; basic reproduction number; fractional order optimal control; sensitivity analysis; EQUATIONS;
D O I
10.1088/1402-4896/acae64
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Presently, monkeypox virus infection has spread worldwide in the ongoing outbreak that began in the UK. To study the transmission dynamics of monkeypox, we formulate here a seven-compartmental (five compartments for the human population and two compartments for animals or rodents) fractional-order mathematical model. The existence and uniqueness of the solution of the proposed fractional order model are examined here. The basic reproduction number for humans ( R0h
引用
收藏
页数:31
相关论文
共 50 条
  • [41] MATHEMATICAL MODELLING APPROACH FOR THE STUDY OF NIPAH VIRUS DISEASE TRANSMISSION DYNAMICS
    Scott, Abang Sunday Igwe
    Luke, Ozioko Arinze
    William, Atokolo
    Emeka, Oziri Kingsley
    Adebisi, Adewoye Raphael
    Nnamani, Topman Nicholas
    Ezike, Mbah Godwin Christopher
    COMMUNICATIONS IN MATHEMATICAL BIOLOGY AND NEUROSCIENCE, 2023,
  • [42] Modeling the Dynamics of Tuberculosis with Vaccination, Treatment, and Environmental Impact: Fractional Order Modeling
    Khan, Muhammad Altaf
    DarAssi, Mahmoud H.
    Ahmad, Irfan
    Seyam, Noha Mohammad
    Alzahrani, Ebraheem
    CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2024, 141 (02): : 1365 - 1394
  • [43] MATHEMATICAL MODELING AND STABILITY ANALYSIS OF THE DYNAMICS OF MONKEYPOX VIA FRACTIONAL-CALCULUS
    Alharbi, Rabab
    Jan, Rashid
    Alyobi, Sultan
    Altayeb, Yousif
    Khan, Ziad
    FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2022, 30 (10)
  • [44] Unfolding the Transmission Dynamics of Monkeypox Virus: An Epidemiological Modelling Analysis
    Al-Shomrani, Mohammed M.
    Musa, Salihu S.
    Yusuf, Abdullahi
    MATHEMATICS, 2023, 11 (05)
  • [45] Optimal control problem for mathematical modeling of Zika virus transmission using fractional order derivatives
    Kouidere, Abdelfatah
    El Bhih, Amine
    Minifi, Issam
    Balatif, Omar
    Adnaoui, Khalid
    FRONTIERS IN APPLIED MATHEMATICS AND STATISTICS, 2024, 10
  • [46] Dynamics of Caputo fractional-order SIRV model: The effects of imperfect vaccination on disease transmission
    Abdullahi, Auwal
    Mohd, Mohd Hafiz
    INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2024, 17 (04)
  • [47] FRACTIONAL-ORDER MATHEMATICAL MODELING OF COVID-19 DYNAMICS WITH DIFFERENT TYPES OF TRANSMISSION
    Amouch, Mohamed
    Karim, Noureddine
    NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION, 2025, 15 (02): : 386 - 415
  • [48] Optimal control of a fractional-order monkeypox epidemic model with vaccination and rodents culling
    Musafir, Raqqasyi R.
    Suryanto, Agus
    Darti, Isnani
    Trisilowati
    RESULTS IN CONTROL AND OPTIMIZATION, 2024, 14
  • [49] FRACTIONAL DYNAMICS OF THE TRANSMISSION PHENOMENA OF DENGUE INFECTION WITH VACCINATION
    Jan, R. A. S. H. I. D.
    Boulaaras, S. A. L. A. H.
    Alyobi, S. U. L. T. A. N.
    Rajagopal, K. A. R. T. H. I. K. E. Y. A. N.
    Jawad, M. U. H. A. M. M. A. D.
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2023, 16 (08): : 2096 - 2117
  • [50] Insights into the Transmission, Host Range, Genomics, Vaccination, and Current Epidemiology of the Monkeypox Virus
    Araf, Yusha
    Nipa, Jannatul Ferdous
    Naher, Sabekun
    Maliha, Sumaiya Tasnim
    Rahman, Hasanur
    Arafat, Kazi Ifthi
    Munif, Mohammad Raguib
    Uddin, Md Jamal
    Jeba, Nurejunnati
    Saha, Sukumar
    Zhai, Jingbo
    Hasan, S. M. Nazmul
    Xue, Mengzhou
    Hossain, Md. Golzar
    Zheng, Chunfu
    VETERINARY MEDICINE INTERNATIONAL, 2024, 2024