Bifurcation and Stability Analysis in a Discrete Three Species Prey-Predator Interactions

This paper investigates an eco-system with two prey species and a predator. The model equations constitute a set of three first order non-linear coupled difference equations. All possible positive equilibrium points of the system are computed and criteria for the stability of all equilibrium states are established. Time series plots and phase portraits are obtained for different sets of parameter values. Bifurcation diagrams are provided for selected range of growth parameter.