A Caputo power law model predicting the spread of the COVID-19 outbreak in Pakistan | Zendy

Muhammad Arfan | Zendy; Kamal Shah | Zendy; Thabet Abdeljawad | Zendy; Nabil Mlaiki | Zendy; Aman Ullah | Zendy

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A Caputo power law model predicting the spread of the COVID-19 outbreak in Pakistan

Author(s) -

Muhammad Arfan,

Kamal Shah,

Thabet Abdeljawad,

Nabil Mlaiki,

Aman Ullah

Publication year - 2020

Publication title -

alexandria engineering journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.584

H-Index - 58

eISSN - 2090-2670

pISSN - 1110-0168

DOI - 10.1016/j.aej.2020.09.011

Subject(s) - covid-19 , outbreak , mathematics , stability (learning theory) , epidemic model , population , power law , euler's formula , work (physics) , equilibrium point , infectious disease (medical specialty) , computer science , statistics , mathematical analysis , engineering , disease , virology , differential equation , biology , demography , medicine , pathology , sociology , machine learning , mechanical engineering

This work is devoted to establish a modified population model of susceptible and infected (SI) compartments to predict the spread of the infectious disease COVID-19 in Pakistan. We have formulated the model and derived its boundedness and feasibility. By using next generation matrices method we have derived some results for the global and local stability of different kinds of equilibrium points. Also, by using fixed point approach some results of existence of at least one solution are studied. Furthermore, the numerical simulations for various values of isolation parameters corresponding to different fractional order are investigated by using modified Euler’s method.

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