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Modeling and analysis of SEIRS epidemic models using homotopy perturbation method: A special outlook to 2019-nCoV in India

Reetha Thomas, Sayooj Aby Jose, R. Raja, Jehad Alzabut, Jinde Cao, Valentina Emilia Bălaş

2022International Journal of Biomathematics20 citationsDOI

Abstract

Considering the prevailing situations, the mathematical modeling and dynamics of novel coronavirus (2019-nCoV) particularly in India are studied in this paper. The goal of this work is to create an effective SEIRS model to study about the epidemic. Four different SEIRS models are considered and solved in this paper using an efficient homotopy perturbation method. A clear picture of disease spreading can be obtained from the solutions derived using this method. We parametrized the model by considering the number of infection cases from 1 April 2020 to 30 June 2020. Finally, numerical analysis and graphical representations are provided to interpret the spread of virus.

Topics & Concepts

Homotopy perturbation methodHomotopy analysis methodApplied mathematicsMathematicsEpidemic modelPerturbation (astronomy)Coronavirus disease 2019 (COVID-19)HomotopyMathematical optimizationComputer sciencePhysicsInfectious disease (medical specialty)PopulationPure mathematicsDiseaseSociologyPathologyDemographyQuantum mechanicsMedicineFractional Differential Equations SolutionsMathematical and Theoretical Epidemiology and Ecology ModelsCOVID-19 epidemiological studies
Modeling and analysis of SEIRS epidemic models using homotopy perturbation method: A special outlook to 2019-nCoV in India | Litcius