Analysis and dynamics of fractional order Covid-19 model with memory effect
Supriya Yadav, Devendra Kumar, Jagdev Singh, Dumitru Bǎleanu
Abstract
The present article attempts to examine fractional order Covid-19 model by employing an efficient and powerful analytical scheme termed as q-homotopy analysis Sumudu transform method (q-HASTM). The q-HASTM is the hybrid scheme based on q-HAM and Sumudu transform technique. Liouville-Caputo approach of the fractional operator has been employed. The proposed modelis also examined numerically via generalized Adams-Bashforth-Moulton method. We determined model equilibria and also give their stability analysis by employing next generation matrix and fractional Routh-Hurwitz stability criterion.
Topics & Concepts
Applied mathematicsMathematicsStability (learning theory)Order (exchange)Scheme (mathematics)Operator (biology)Matrix (chemical analysis)Fractional calculusHomotopy perturbation methodHomotopy analysis methodCoronavirus disease 2019 (COVID-19)HomotopyMathematical analysisPure mathematicsComputer scienceChemistryInfectious disease (medical specialty)BiochemistryRepressorGeneChromatographyTranscription factorEconomicsMachine learningFinancePathologyDiseaseMedicineFractional Differential Equations SolutionsAdvanced Control Systems DesignMathematical and Theoretical Epidemiology and Ecology Models