Dynamical behavior of a fractional order SIR model with stability analysis

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 hav...

Full description

Saved in:
Bibliographic Details
Published inResults in control and optimization Vol. 10; p. 100212
Main Authors Paul, Subrata, Mahata, Animesh, Mukherjee, Supriya, Mali, Prakash Chandra, Roy, Banamali
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.03.2023
Elsevier
Subjects
Forward bifurcation
Numerical study
SIR model
Stability
Taylor’s scheme
Forward bifurcation
Stability
Taylor’s scheme
SIR model
Numerical study
Online AccessGet full text

Cover

More Information
Summary: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.
ISSN:2666-7207
2666-7207
DOI:10.1016/j.rico.2023.100212