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

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...

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Detalles Bibliográficos
Autores principales: Arfan, Muhammad, Shah, Kamal, Abdeljawad, Thabet, Mlaiki, Nabil, Ullah, Aman
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Faculty of Engineering, Alexandria University. Production and hosting by Elsevier B.V. 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7836298/
http://dx.doi.org/10.1016/j.aej.2020.09.011
Descripción
Sumario: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.