Numerical analysis of COVID-19 model with constant fractional order and variable fractal dimension | Zendy

Badr Saad T. Alkahtani | Zendy; Sonal Jain | Zendy

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Numerical analysis of COVID-19 model with constant fractional order and variable fractal dimension

Author(s) -

Badr Saad T. Alkahtani,

Sonal Jain

Publication year - 2020

Publication title -

results in physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.743

H-Index - 56

ISSN - 2211-3797

DOI - 10.1016/j.rinp.2020.103673

Subject(s) - mathematics , fractal dimension , constant (computer programming) , fractal , dimension (graph theory) , constant coefficients , operator (biology) , population , differential operator , variable (mathematics) , convolution (computer science) , exponential function , differential equation , mathematical analysis , computer science , pure mathematics , biochemistry , chemistry , demography , repressor , machine learning , sociology , transcription factor , artificial neural network , gene , programming language

This work has considered a mathematical model describing the spread of COVID-19 in a given population. The model comprised 5 systems of equations that take into account different classes describing the impact of COVID-19 in a given population. The time differential operator was replaced with three different types of nonlocal operators. These operators are defined as the convolution of variable order fractal differential operators with different kernels including power law, exponential decay law, and Mittag-Leffler functions. We presented the well-poseness of the models for different differential operators that were presented in detail. A novel numerical scheme was used to solve numerically the system and numerical simulations were provided.

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