ON STABILITY OF TIME DELAY OF 4-DIMENSIONAL LOTKA-VOLTERRA PREDATOR-PREY MODEL

M. A. Basudan (Yemen)

Received September 13, 2007

Abstract

The Lotka-Volterra predator-prey with time lag is considered with a realistic weight kernel  The stability of steady of states of the resulting 4-dimensional system is discussed. Hopf bifurcation and small amplitude periodic solution are established.

Keywords and phrases: predator-prey model, stability, delay, bifurcation, periodic solution.