Nonstandard Numerical Scheme for a Predator-Prey Model Involving Predator Cannibalism and Refuge

In this study, we implement a Nonstandard Finite Difference (NSFD) scheme for predator-prey model involving cannibalism and refuge in predator. The which is considered as discrete dynamical system analyzed. performed analysis includes the determination of equilibrium point its local stability. has four points, namely origin, prey extinction point, predator coexistence have exactly same form existence conditions those continuous system. stability each first three points consistent with one depends on integration time step size. Nevertheless, NSFD allows us to choose size solution converge feasible more flexible than Euler 4th order Runge-Kutta schemes. These are shown via numerical simulations.