Mathematical modeling for novel coronavirus (COVID‐19) and control. Issue 4 (26th November 2020)

• Record Type: Journal Article
• Authors: Alqarni, Marei Saeed; Alghamdi, Metib; Muhammad, Taseer; Alshomrani, Ali Saleh; Khan, Muhammad Altaf
• Is Part Of: Numerical methods for partial differential equations. Volume 38:Issue 4(2022)
• Page Start: 760
• Page End: 776
• Publication Date: 2020-11-26
• Subjects: COVID‐19 mathematical model -- global sensitivity analysis -- numerical results -- parameters estimations -- real data -- stability results; Differential equations, Partial -- Numerical solutions -- Periodicals; 515.353
• DOI: 10.1002/num.22695
• Languages: English
• ISSNs: 0749-159X

Abstract

Abstract: In the present investigations, we construct a new mathematical for the transmission dynamics of corona virus (COVID‐19) using the cases reported in Kingdom of Saudi Arabia for March 02 till July 31, 2020. We investigate the parameters values of the model using the least square curve fitting and the basic reproduction number is suggested for the given data is ℛ0 ≈ 1.2937. The stability results of the model are shown when the basic reproduction number is ℛ0 < 1. The model is locally asymptotically stable when ℛ0 < 1. Further, we show some important parameters that are more sensitive to the basic reproduction number ℛ0 using the PRCC method. The sensitive parameters that act as a control parameters that can reduce and control the infection in the population are shown graphically. The suggested control parameters can reduce dramatically the infection in the Kingdom of Saudi Arabia if the proper attention is paid to the suggested controls.