Hybrid Method for Simulation of a Fractional COVID-19 Model with Real Case Application
Anwarud Din,
Amir Khan,
Anwar Zeb,
Moulay Rchid Sidi Ammi,
Mouhcine Tilioua,
Delfim F. M. Torres
Affiliations
Anwarud Din
Department of Mathematics, Sun Yat-sen University, Guangzhou 510275, China
Amir Khan
Department of Mathematics and Statistics, University of Swat, Mingora 19130, Khyber Pakhtunkhwa, Pakistan
Anwar Zeb
Department of Mathematics, Abbottabad Campus, COMSATS University Islamabad, Abbottabad 22060, Khyber Pakhtunkhwa, Pakistan
Moulay Rchid Sidi Ammi
MAIS Laboratory, AMNEA Group, FST Errachidia, Moulay Ismaïl University of Meknès, P.O. Box 509 Boutalamine, Errachidia 52000, Morocco
Mouhcine Tilioua
MAIS Laboratory, AMNEA Group, FST Errachidia, Moulay Ismaïl University of Meknès, P.O. Box 509 Boutalamine, Errachidia 52000, Morocco
Delfim F. M. Torres
Center for Research and Development in Mathematics and Applications (CIDMA), Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal
In this research, we provide a mathematical analysis for the novel coronavirus responsible for COVID-19, which continues to be a big source of threat for humanity. Our fractional-order analysis is carried out using a non-singular kernel type operator known as the Atangana-Baleanu-Caputo (ABC) derivative. We parametrize the model adopting available information of the disease from Pakistan in the period 9 April to 2 June 2020. We obtain the required solution with the help of a hybrid method, which is a combination of the decomposition method and the Laplace transform. Furthermore, a sensitivity analysis is carried out to evaluate the parameters that are more sensitive to the basic reproduction number of the model. Our results are compared with the real data of Pakistan and numerical plots are presented at various fractional orders.
