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
  • [21] Dynamics of transmission of a Monkeypox epidemic in the presence of an Imperfect Vaccination
    Afolabi, Y. O.
    Wade, B. A.
    RESULTS IN APPLIED MATHEMATICS, 2023, 19
  • [22] Optimal control for a fractional order malaria transmission dynamics mathematical model
    Sweilam, N. H.
    AL-Mekhlafi, S. M.
    Albalawi, A. O.
    ALEXANDRIA ENGINEERING JOURNAL, 2020, 59 (03) : 1677 - 1692
  • [23] On mathematical modeling of fractional-order stochastic for tuberculosis transmission dynamics
    Chukwu, C. W.
    Bonyah, E.
    Juga, M. L.
    Fatmawati
    RESULTS IN CONTROL AND OPTIMIZATION, 2023, 11
  • [24] Fractional-order modeling of Chikungunya virus transmission dynamics
    Chavada, Anil
    Pathak, Nimisha
    Khirsariya, Sagar R.
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2025, 48 (01) : 1056 - 1080
  • [25] Mathematical modeling and analysis of human-to-human monkeypox virus transmission with post-exposure vaccination
    Yau Umar Ahmad
    James Andrawus
    Abdurrahman Ado
    Yahaya Adamu Maigoro
    Abdullahi Yusuf
    Saad Althobaiti
    Umar Tasiu Mustapha
    Modeling Earth Systems and Environment, 2024, 10 : 2711 - 2731
  • [26] Mathematical modeling and analysis of human-to-human monkeypox virus transmission with post-exposure vaccination
    Ahmad, Yau Umar
    Andrawus, James
    Ado, Abdurrahman
    Maigoro, Yahaya Adamu
    Yusuf, Abdullahi
    Althobaiti, Saad
    Mustapha, Umar Tasiu
    MODELING EARTH SYSTEMS AND ENVIRONMENT, 2024, 10 (02) : 2711 - 2731
  • [27] Dynamics of a fractional order mathematical model for COVID-19 epidemic transmission
    Arshad, Sadia
    Siddique, Imran
    Nawaz, Fariha
    Shaheen, Aqila
    Khurshid, Hina
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2023, 609
  • [28] Mathematical model for assessing the impact of vaccination and treatment on measles transmission dynamics
    Garba, S. M.
    Safi, M. A.
    Usaini, S.
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (18) : 6371 - 6388
  • [29] A mathematical model on the transmission dynamics of typhoid fever with treatment and booster vaccination
    Kailan Suhuyini, Abdulai
    Seidu, Baba
    FRONTIERS IN APPLIED MATHEMATICS AND STATISTICS, 2023, 9
  • [30] Caputo fractional order derivative model of Zika virus transmission dynamics
    Prasad, Ramakant
    Kumar, Kapil
    Dohare, Ravins
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2023, 28 (02): : 145 - 157