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On the solution of fractional order SIS epidemic model

Author

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  • Hassouna, M.
  • Ouhadan, A.
  • El Kinani, E.H.

Abstract

We consider the fractional order epidemic model based on assumption that people will recover after disease and may be infected again on a time interval of non fatal disease. Our mathematical formulation is based on the fractional Caputo derivative. The existence and uniqueness of the solution is discussed. Furthermore, numerical solution is studied by variational iteration method and Euler method. Consequently, some numerical results are presented within.

Suggested Citation

  • Hassouna, M. & Ouhadan, A. & El Kinani, E.H., 2018. "On the solution of fractional order SIS epidemic model," Chaos, Solitons & Fractals, Elsevier, vol. 117(C), pages 168-174.
    • Handle: RePEc:eee:chsofr:v:117:y:2018:i:c:p:168-174
    DOI: 10.1016/j.chaos.2018.10.023
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    References listed on IDEAS

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    1. Al-Darabsah, Isam & Yuan, Yuan, 2016. "A time-delayed epidemic model for Ebola disease transmission," Applied Mathematics and Computation, Elsevier, vol. 290(C), pages 307-325.
    2. Awawdeh, Fadi & Adawi, A. & Mustafa, Z., 2009. "Solutions of the SIR models of epidemics using HAM," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 3047-3052.
    3. Singh, Jagdev & Kumar, Devendra & Hammouch, Zakia & Atangana, Abdon, 2018. "A fractional epidemiological model for computer viruses pertaining to a new fractional derivative," Applied Mathematics and Computation, Elsevier, vol. 316(C), pages 504-515.
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    Cited by:

    1. J. A. Tenreiro Machado, 2020. "An Evolutionary Perspective of Virus Propagation," Mathematics, MDPI, vol. 8(5), pages 1-22, May.
    2. Nguiwa, Tchule & Kolaye, Gabriel Guilsou & Justin, Mibaile & Moussa, Djaouda & Betchewe, Gambo & Mohamadou, Alidou, 2021. "Dynamic study of SIAISQVR−B fractional-order cholera model with control strategies in Cameroon Far North Region," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).
    3. Javier Cifuentes-Faura & Ursula Faura-Martínez & Matilde Lafuente-Lechuga, 2022. "Mathematical Modeling and the Use of Network Models as Epidemiological Tools," Mathematics, MDPI, vol. 10(18), pages 1-14, September.
    4. Massoun, Y. & Alomari, A.K. & Cesarano, C., 2025. "Analytic solution for SIR epidemic model with multi-parameter fractional derivative," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 230(C), pages 484-492.

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