Discretization and Neimark-Sacker Bifurcation Analysis of a Fractional

In order to illustrate the discretization process and bifurcation analysis, a fractional order COVID-19 mathematical model that discusses the healthy population class and the diseased population class is revisited in this study. The discretization has been carried out of an autonomous nonlinear model. A fractional order discrete system is created from a continuous biological model. Discretization is accomplished using the conformable fractional operator for the piecewise constant approximation. Two fixed points namely the trivial fixed point and the coexisted one have been calculated. Through the stability of two fixed points and bifurcation analysis, the dynamics of the model are examined. By specifying the bifurcation parameter σ, the Neimark Sacker bifurcation’s existence is studied and the result has been stated. By assigning the parameters numbers, numerical variations are explored for different discrete parameter h and for different fractional orders. Additionally, graphical interpretations are provided for various fractional orders and discrete parameters.