Conditions For The Local And Global Asymptotic Stability Of The Time Fractional Degn-Harrison System

Fractional calculus has been shown to improve the dynamics of differential system models and provide a better understanding of their dynamics. This paper considers the time-fractional version of the Degn-Harrison reaction-diffusion model. Sufficient conditions are established for the local and global asymptotic stability of the model by means of invariant rectangles, the fundamental stability theory of fractional systems, the linearization method, and the direct Lyapunov method. Numerical simulation results are used to illustrate the theoretical results.