Analysis and dynamics of fractional order Covid-19 model with memory effect

• Published in: Results in physics Vol. 24; p. 104017
• Main Authors: Yadav, Supriya, Kumar, Devendra, Singh, Jagdev, Baleanu, Dumitru
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01-05-2021; Elsevier
• Subjects: Adams–Bashforth–Moulton method; Fractional Covid-19 model; Next generation matrix; q-homotopy analysis method; Stability analysis; Sumudu transform; Next generation matrix; Stability analysis; Adams–Bashforth–Moulton method; Sumudu transform; q-homotopy analysis method; Fractional Covid-19 model
• ISSN: 2211-3797; 2211-3797
• DOI: 10.1016/j.rinp.2021.104017

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.