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A novel mathematics model of covid-19 with fractional derivative. Stability and numerical analysis

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  • Alkahtani, Badr Saad T.
  • Alzaid, Sara Salem

Abstract

a mathematical model depicting the spread of covid-19 epidemic and implementation of population covid-19 intervention in Italy. The model has 8 components leading to system of 8 ordinary differential equations. In this paper, we investigate the model using the concept of fractional differential operator. A numerical method based on the Lagrange polynomial was used to solve the system equations depicting the spread of COVID-19. A detailed investigation of stability including reproductive number using the next generation matrix, and the Lyapunov were presented in detail. Numerical simulations are depicted for various fractional orders.

Suggested Citation

  • Alkahtani, Badr Saad T. & Alzaid, Sara Salem, 2020. "A novel mathematics model of covid-19 with fractional derivative. Stability and numerical analysis," Chaos, Solitons & Fractals, Elsevier, vol. 138(C).
    • Handle: RePEc:eee:chsofr:v:138:y:2020:i:c:s0960077920304045
    DOI: 10.1016/j.chaos.2020.110006
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    References listed on IDEAS

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    1. Mohammed Kizito & Julius Tumwiine, 2018. "A Mathematical Model of Treatment and Vaccination Interventions of Pneumococcal Pneumonia Infection Dynamics," Journal of Applied Mathematics, Hindawi, vol. 2018, pages 1-16, March.
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    Cited by:

    1. Matouk, A.E., 2020. "Complex dynamics in susceptible-infected models for COVID-19 with multi-drug resistance," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    2. Aljoudi, Shorog, 2021. "Exact solutions of the fractional Sharma-Tasso-Olver equation and the fractional Bogoyavlenskii’s breaking soliton equations," Applied Mathematics and Computation, Elsevier, vol. 405(C).
    3. Fernando Alcántara-López & Carlos Fuentes & Carlos Chávez & Fernando Brambila-Paz & Antonio Quevedo, 2021. "Fractional Growth Model Applied to COVID-19 Data," Mathematics, MDPI, vol. 9(16), pages 1-13, August.
    4. Yang, Bo & Yu, Zhenhua & Cai, Yuanli, 2022. "The impact of vaccination on the spread of COVID-19: Studying by a mathematical model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 590(C).
    5. Khan, Hasib & Ahmad, Farooq & Tunç, Osman & Idrees, Muhammad, 2022. "On fractal-fractional Covid-19 mathematical model," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).

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