A NUMERICAL ANALYSIS OF NABLA DISCRETE OPERATOR: TO INVESTIGATE PREY–PREDATOR MODEL

In this paper, we propose a fractional-order nabla difference nonlinear system involving bounded disturbances and utilizing the numerical analysis to investigate the prey–predator model in the sense of the nabla difference operator. This system class has a broader range of nonlinearities in comparison to the Lipschitz class. We develop adequate criteria for the observer design based on the one-sided Lipschitz and quadratically inner-bounded ones. We prove the practical Mittag-Leffler stability of the closed-loop system. Furthermore, we provided a separation principle for a class of nonlinear systems with bounded uncertain parts. We illustrated a numerical example to show the efficacy and application of our new findings.