నైరూప్య

Stability Analysis of a Discrete Prey - Predator Model with Ratio Dependence

M.Reni Sagaya Raj, A.George Maria Selvam and V.Sathish

In this paper, a discrete food web system with ratio-dependent functional response is proposed and analysed. The model is characterized by a coupled system of first order non-linear difference equations. The fixed points are computed and criteria for stability of the system are obtained. Time plots and the phase portraits are obtained for different sets of parameter values. The numerical simulations not only illustrate the validity of our results, but also exhibit more complex dynamical behaviours. 2010 Mathematics Subject Classification. 39A30, 92D25.