NEIMARK-SACKER BIFURCATION AND STABILITY OF A PREY-PREDATOR SYSTEM.

In this paper, we investigate the stability and bifurcation of a discrete-time preypredator system which is subject to an efficiency of prey conversion into predators and minimum threshold prey consumption required before predators begin to reproduce. It is concluded that the system undergoes Neimark-Sacker bifurcations in a small neighborhood of the unique positive equilibrium which depends on the number of prey-predator. Moreover, the numerical simulations are done to demonstrate the theoretical results. [ABSTRACT FROM AUTHOR]