A NEW STUDY FOR GLOBAL ASYMPTOTIC STABILITY OF A FRACTIONAL-ORDER HEPATITIS B EPIDEMIC MODEL

Abstract

We provide a rigorous mathematical study for global asymptotic stability (GAS) of a recognized fractional-order hepatitis B epidemic model, which was proposed in a recent work. We use a simple approach to establish the GAS of the fractional-order hepatitis B model. This approach is based on extensions of the Lyapunov stability theory in combination with some nonstandard techniques for fractional dynamical systems. As an important consequence, the GAS of disease free and disease endemic equilibrium points is determined fully. The obtained results not only improve but also generalize some existing works. A set of numerical experiments is performed to support and illustrate the constructed theoretical results.