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Numerical Analysis of Fractional Order Epidemic Model of Childhood Diseases

Author

Listed:
  • Fazal Haq
  • Muhammad Shahzad
  • Shakoor Muhammad
  • Hafiz Abdul Wahab
  • Ghaus ur Rahman

Abstract

The fractional order Susceptible-Infected-Recovered (SIR) epidemic model of childhood disease is considered. Laplace–Adomian Decomposition Method is used to compute an approximate solution of the system of nonlinear fractional differential equations. We obtain the solutions of fractional differential equations in the form of infinite series. The series solution of the proposed model converges rapidly to its exact value. The obtained results are compared with the classical case.

Suggested Citation

  • Fazal Haq & Muhammad Shahzad & Shakoor Muhammad & Hafiz Abdul Wahab & Ghaus ur Rahman, 2017. "Numerical Analysis of Fractional Order Epidemic Model of Childhood Diseases," Discrete Dynamics in Nature and Society, Hindawi, vol. 2017, pages 1-7, December.
    • Handle: RePEc:hin:jnddns:4057089
    DOI: 10.1155/2017/4057089
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    Cited by:

    1. ur Rahman, Ghaus & Badshah, Qaisar & Agarwal, Ravi P. & Islam, Saeed, 2021. "Ergodicity & dynamical aspects of a stochastic childhood disease model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 182(C), pages 738-764.
    2. Jena, Rajarama Mohan & Chakraverty, Snehashish & Baleanu, Dumitru, 2021. "SIR epidemic model of childhood diseases through fractional operators with Mittag-Leffler and exponential kernels," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 182(C), pages 514-534.
    3. Mohamed M. Mousa & Fahad Alsharari, 2021. "A Comparative Numerical Study and Stability Analysis for a Fractional-Order SIR Model of Childhood Diseases," Mathematics, MDPI, vol. 9(22), pages 1-12, November.
    4. Suganya Subramanian & Agilan Kumaran & Srilekha Ravichandran & Parthiban Venugopal & Slim Dhahri & Kavikumar Ramasamy, 2024. "Fuzzy Fractional Caputo Derivative of Susceptible-Infectious- Removed Epidemic Model for Childhood Diseases," Mathematics, MDPI, vol. 12(3), pages 1-12, January.
    5. Ahmad, Shabir & Ullah, Aman & Al-Mdallal, Qasem M. & Khan, Hasib & Shah, Kamal & Khan, Aziz, 2020. "Fractional order mathematical modeling of COVID-19 transmission," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    6. Yüzbaşı, Şuayip & Izadi, Mohammad, 2022. "Bessel-quasilinearization technique to solve the fractional-order HIV-1 infection of CD4+ T-cells considering the impact of antiviral drug treatment," Applied Mathematics and Computation, Elsevier, vol. 431(C).
    7. Mahmood, Tariq & Al-Duais, Fuad S. & Sun, Mei, 2022. "Dynamics of Middle East Respiratory Syndrome Coronavirus (MERS-CoV) involving fractional derivative with Mittag-Leffler kernel," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 606(C).

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