Conformable fractional order COVID - 19 model: Discretization and stability analysis

: The comparative study has been done on the COVID – 19 mathematical model to discuss the discretization process using two fractional operators namely Caputo and Conformable. We converted the integer order model into fractional order and then discretization method is applied to the model. The autono...

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Hauptverfasser: Meshram, A. R., Borkar, V. C., Muneshwar, R. A.
Format: Tagungsbericht
Sprache:eng
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Zusammenfassung:: The comparative study has been done on the COVID – 19 mathematical model to discuss the discretization process using two fractional operators namely Caputo and Conformable. We converted the integer order model into fractional order and then discretization method is applied to the model. The autonomous nonlinear mathematical model of COVID - 19 containing isolation class has been taken here to discuss the discretization process. A COVID - 19 mathematical model containing four different classes, namely, X (Susceptible Class), Y (Exposed Class), Z (Infected Class) and W (Isolated Class) has been taken for the proposed method. The asymptotic stability of the model is done using the Conformable derivatives. The analysis of the result is given for three different orders by assigning the numerical values to the parameters with initial conditions. Lastly, in graphical analysis, the graphs for fractional order discretized model and integer order using RK4 numerical method are analysed. The graphs are plotted using the software Python.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0164423