TY - JOUR
T1 - A Caputo power law model predicting the spread of the COVID-19 outbreak in Pakistan
AU - Arfan, Muhammad
AU - Shah, Kamal
AU - Abdeljawad, Thabet
AU - Mlaiki, Nabil
AU - Ullah, Aman
PY - 2021/2/1
Y1 - 2021/2/1
N2 - © 2020 Faculty of Engineering, Alexandria University 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.
AB - © 2020 Faculty of Engineering, Alexandria University 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.
UR - http://www.scopus.com/inward/record.url?scp=85091026342&partnerID=8YFLogxK
U2 - 10.1016/j.aej.2020.09.011
DO - 10.1016/j.aej.2020.09.011
M3 - Article
VL - 60
JO - Alexandria Engineering Journal
JF - Alexandria Engineering Journal
IS - 1
ER -