Mathematical Analysis of Discrete Fractional Prey-Predator Model with Fear Effect and Square Root Functional Response

This paper investigates the dynamics of a discrete fractional prey-predator system. The interaction is modelled using square root functional response, which appropriately models systems in prey exhibits strong herd structure, implying that predator generally interacts with along herd's outer corridor. Some recent field experiments and studies show predators affect by directly killing inducing fear prey, reducing species' reproduction rate. Considering these facts, we propose mathematical model to study behaviour effect We algebraically equilibrium points their stability condition. Condition for Neimark-Sacker bifurcation, Flip bifurcation Fold are given. Phase portraits diagrams depict model's based on some hypothetical data. Numerical simulations reveal rich as result order.