Fractional order system dynamical behaviors with Beddington-DeAngelis functional response

The present study proposes a fractional order prey-predator model with Beddington-DeAngelis functional response, that the Caputo derivative is applied. There exploration of solutions' existence, uniqueness, non-negativity, and boundedness. Stability all feasible equilibrium points determined locally by use Matignon's condition. Moreover, we also provide sufficient conditions to assure global asymptotic stability for both predator-extinction point positive point, selecting relevant Lyapunov function incidence Hopf-bifurcation displayed. Finally, effect on behavior systems investigated theoretically illustrated numerically support theoretical results.