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Mathematical modeling for novel coronavirus (<scp>COVID</scp>‐19) and control

M.S. Alqarni, Metib Alghamdi, Taseer Muhammad, Ali Saleh Alshomrani, Muhammad Altaf Khan

2020Numerical Methods for Partial Differential Equations65 citationsDOIOpen Access PDF

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 ℛ 0 ≈ 1.2937. The stability results of the model are shown when the basic reproduction number is ℛ 0 &lt; 1. The model is locally asymptotically stable when ℛ 0 &lt; 1. Further, we show some important parameters that are more sensitive to the basic reproduction number 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.

Topics & Concepts

Basic reproduction numberCoronavirus disease 2019 (COVID-19)Transmission (telecommunications)MathematicsStability (learning theory)Severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2)ReproductionApplied mathematicsPopulationConstruct (python library)2019-20 coronavirus outbreakStatisticsVirologyComputer scienceBiologyMedicineTelecommunicationsEcologyOutbreakInfectious disease (medical specialty)Environmental healthProgramming languagePathologyMachine learningDiseaseCOVID-19 epidemiological studiesMathematical and Theoretical Epidemiology and Ecology ModelsFractional Differential Equations Solutions
Mathematical modeling for novel coronavirus (<scp>COVID</scp>‐19) and control | Litcius