Global stability of a fractional two-strain SEIR model

Abstract

In this work, we study a fractional-order {Susceptible-Exposed-Infected-Recovered}  epidemic model with general incidence rates. The model is formulated as a system of fractional differential equations. We determine the equilibrium points and compute the basic reproduction numbers using the next-generation matrix method. The global stability of equilibria is established using Lyapunov functions and LaSalle’s invariance principle. Numerical simulations are performed to illustrate the theoretical results. The analysis shows that the stability of equilibria depends on the reproduction numbers, while the fractional-order parameter affects the convergence rate.