ON UNIFORM BOUNDEDNESS AND STABILITY OF SOLUTIONS FOR PREDATOR-PREY MODEL FOR CERTAIN CLASS OF DELAY NON LINEAR DIFFERENTIAL EQUATIONS

In this paper, the mathematical modeling of Predator – Prey interactions suggested by Lotka and Volterra in the 1920’s was altered by including a delay to the variable terms to give the necessary and sufficient conditions that will guarantee Uniform Boundedness, Steady State Stability and Linear Stability of the altered model. The inclusion of delay in both state variables of the model terms P(x(t-τ) )y(t-τ) make the analysis of the studied model interesting and also difficult, and this paper also improved upon the results on the literature as in the authors of [1-3].