dynamical analysis, stability and discretization of fractional-order predator-prey model with negative feedback on two species

‎the lotka-volterra model is an important model being employed in biological phenomena to investigate the nonlinear interaction among existing species‎. ‎in this work‎, ‎we first consider an integer order predator-prey model with negative feedback on both prey and predator‎. ‎then by introducing a fractional model into the existing one‎, ‎we give them a specified memory‎. ‎we also obtain its discretized counterpart‎. ‎finally‎, ‎along with giving the biological interpretation of the system‎, ‎the stability and dynamical analysis of the proposed model are investigated and the results are illustrated as well‎.