Abstract
The fractional order SIR model with a Holling type II saturated incidence rate and treatment rate are explored in this manuscript in the Caputo order fractional derivative approach. The existence and uniqueness criterion, as well as non-negativity and boundedness of the solution of the new model have been established. The stability analysis of the model shows that the system is locally as well as globally asymptotically stable at disease-free equilibrium point E0 when R0<1 and at epidemic equilibrium E∗ when R0>1. For R0=1 at E0 the model exhibits a forward bifurcation. Fractional-order Taylor’s approach is utilized to approximate the solution of the proposed model. Graphical demonstrations and numerical simulations have been presented using MATLAB.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
