SEIR Model for COVID-19 Epidemic Using Delay Differential Equation
Ramalingam Devipriya, S. Dhamodharavadhani, S. Selvi
Abstract
Abstract SEIR compartmental model for COVID-19 pandemic (SEIR_COVID) with exposed group is proposed and analysed in this paper. The steady state of this model is determined to control the pandemic. Zero Disease equilibrium and pandemic equilibrium are presented in SEIR_COVID model. In each case, the equilibrium prints are locally asymptotically stable under certain conditions. The Routh-Hurwitz criteria are used to study the stability of the equilibrium for COVID-19. This study showed that proposed SEIR_COVID model using Routh-Hurwitz criteria will be more effective for the COVID-19 pandemic prediction.
Topics & Concepts
Coronavirus disease 2019 (COVID-19)PandemicRouth–Hurwitz stability criterionStability (learning theory)Epidemic model2019-20 coronavirus outbreakSevere acute respiratory syndrome coronavirus 2 (SARS-CoV-2)Applied mathematicsMathematicsStability theoryControl theory (sociology)Control (management)Computer scienceMathematical analysisPhysicsVirologyMedicineDiseaseInfectious disease (medical specialty)Artificial intelligenceNonlinear systemPolynomialEnvironmental healthPathologyMachine learningOutbreakPopulationQuantum mechanicsCOVID-19 epidemiological studiesMathematical and Theoretical Epidemiology and Ecology ModelsEvolution and Genetic Dynamics