Abstract
In this paper, we investigate fractional order two strain epidemic model in the sense of ABC operator. This study includes existence and uniqueness of solution, stability and numerical simulations of the model under consideration. Fixed point postulates are used for the existence and uniqueness of solution. A theoretical approach is employed to investigate sufficient results for Hyres-Ulam’s stability to the model under study. For the numerical demonstration Lagrange’s interpolation polynomial technique is utilized. Graphical presentations against different fractional orders are displayed.
•To provide qualitative investigation of a fractional order ABC two strain model of epidemics for the classical results.•The study include the existence results for the model and uniqueness criteria, stability and numerical simulations of the model for different fractional orders.•The numerical results are based on a scheme obtained with the help of Lagrange’s interpolation polynomial.•We also provide simulation plots to the obtain result by using Mathlab.