A Study on Discrete Model of a Prey-Predator Ecosystem with Limited and Unlimited Resources

In this paper, we study on discrete model of two interacting species a prey-predator eco-system with limited and unlimited resources. The system comprises of a prey (S₁), a predator (S₂) that survives upon S₁. The basic equations for this model constitute as two first order non-linear coupled ordinary difference equations. All possible equilibrium points are identified based on the model equations and criteria for their stability are discussed. The model would be stable if absolute value of each of the eigen values of the characteristic equation is less than one.