Mathematical modeling for novel coronavirus (COVID-19) and control

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 Script capital R-0 approximate to 1.2937. The stability results of the model are shown when the basic reproduction number is Script capital R-0 < 1. The model is locally asymptotically stable when Script capital R-0 < 1. Further, we show some important parameters that are more sensitive to the basic reproduction number Script capital R-0 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.

Automated summary

A new mathematical model was constructed to analyze the transmission dynamics of COVID-19 in the Kingdom of Saudi Arabia, with sensitivity and control parameters identified. The study suggests control measures that can significantly reduce infections if implemented properly, with stability and sensitivity analysis conducted for better understanding.