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Dynamical Transmission of Coronavirus Model with Analysis and Simulation

Muhammad Farman, Ali Akg黮, Aqeel Ahmad, Dumitru Bǎleanu, Muhammad Umer Saleem

2021Computer Modeling in Engineering & Sciences25 citationsDOIOpen Access PDF

Abstract

COVID-19 acts as a serious challenge to the whole world. Epidemiological data of COVID-19 is collected through media and web sources to analyze and investigate a system of nonlinear ordinary differential equation to understand the outbreaks of this epidemic disease. We analyze the diseases free and endemic equilibrium point including stability of the model. The certain threshold value of the basic reproduction number <i>R</i><sub>0</sub> is found to observe whether population is in disease free state or endemic state. Moreover, the epidemic peak has been obtained and we expect a considerable number of cases. Finally, some numerical results are presented which show the effect of parameters estimation and different step size on our obtained solutions at the real data of some countries to check the actual behavior of the COVID-19 at different countries.

Topics & Concepts

Basic reproduction numberOrdinary differential equationEpidemic modelStability (learning theory)Coronavirus disease 2019 (COVID-19)PopulationTransmission (telecommunications)Equilibrium pointNonlinear systemApplied mathematicsEconometricsOutbreakComputer scienceStatisticsMathematicsDifferential equationDiseaseBiologyPhysicsVirologyMedicineMathematical analysisEnvironmental healthInfectious disease (medical specialty)TelecommunicationsPathologyQuantum mechanicsMachine learningCOVID-19 epidemiological studiesMathematical and Theoretical Epidemiology and Ecology ModelsSARS-CoV-2 and COVID-19 Research