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On the solution of fractional order SIS epidemic model

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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:

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    2. 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.
    3. J. A. Tenreiro Machado, 2020. "An Evolutionary Perspective of Virus Propagation," Mathematics, MDPI, vol. 8(5), pages 1-22, May.

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