A FRACTIONAL ORDER MODEL FOR THE DYNAMICS OF TUBERCULOSIS SPREAD

被引:0
作者
Muhafzan [1 ]
Narwen [1 ]
Zulakmal [1 ]
Baqi, Ahmad iqbal [1 ]
机构
[1] Andalas Univ, Fac Math & Nat Sci, Dept Math & Data Sci, Padang 25163, Indonesia
关键词
fractional-order derivative; SEIQR model; basic reproduction number; equilibrium; MATHEMATICAL-MODEL; DISEASE;
D O I
10.28919/cmbn/8974
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, we establish a mathematical model for Tuberculosis (TB) spread in a human population. The proposed mathematical model is in the form of a nonlinear fractional order differential equation system which is an extension of the SEIR epidemic model. The model is constructed based on grouping the population into five compartments, namely the susceptible sub-population compartment, the exposed sub-population compartment, the infected sub-population compartment, the quarantine sub-population compartment, and the recovered sub- population compartment. It was shown that the stability of the equilibrium points of the model depends on the basic reproduction number, and the addition of the quarantine sub-population compartment decreases the number of basic reproduction. A numerical simulation is given to demonstrate the validity of the results. The analysis reveals that the convergence to the equilibrium points becomes faster as the fractional order increases.
引用
收藏
页数:14
相关论文
共 50 条
  • [1] A FRACTIONAL SITR MODEL FOR DYNAMIC OF TUBERCULOSIS SPREAD
    Muhafzan
    Zulakmal
    Narwen
    Baqi, Ahmad Iqbal
    Lestari, A. G.
    Oktaviani, M.
    COMMUNICATIONS IN MATHEMATICAL BIOLOGY AND NEUROSCIENCE, 2023,
  • [2] 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,
  • [3] Mathematical Identification Analysis of a Fractional-Order Delayed Model for Tuberculosis
    Georgiev, Slavi
    FRACTAL AND FRACTIONAL, 2023, 7 (07)
  • [4] Stability analysis of fractional order model on corona transmission dynamics
    Hincal, Evren
    Alsaadi, Sultan Hamed
    CHAOS SOLITONS & FRACTALS, 2021, 143
  • [5] Investigation of Fractional Order Dynamics of Tuberculosis under Caputo Operator
    Ullah, Ihsan
    Ahmad, Saeed
    Arfan, Muhammad
    De la Sen, Manuel
    FRACTAL AND FRACTIONAL, 2023, 7 (04)
  • [6] A latency fractional order model for HIV dynamics
    Pinto, Carla M. A.
    Carvalho, Ana R. M.
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2017, 312 : 240 - 256
  • [7] Studying the Dynamics of the Rumor Spread Model with Fractional Piecewise Derivative
    Alkahtani, Badr Saad T.
    Alzaid, Sara Salem
    SYMMETRY-BASEL, 2023, 15 (08):
  • [8] The dynamics of fractional order Hepatitis B virus model with asymptomatic carriers
    Gul, Nadia
    Bilal, Rubi
    Algehyne, Ebrahem A.
    Alshehri, Maryam G.
    Khan, Muhammad Altaf
    Chu, Yu-Ming
    Islam, Saeed
    ALEXANDRIA ENGINEERING JOURNAL, 2021, 60 (04) : 3945 - 3955
  • [9] 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
  • [10] Fractional order epidemic model for the dynamics of novel COVID-19
    Baba, Isa Abdullahi
    Nasidi, Bashir Ahmad
    ALEXANDRIA ENGINEERING JOURNAL, 2021, 60 (01) : 537 - 548