On the location and period of limit cycles in Gause-type predator-prey systems

Abstract

In this paper, an attempt is made to estimate the location and period of the limit cycles of Gause-type predator-prey systems in the case when there is a unique unstable positive equilibrium. An annular region which contains all the limit cycles is determined, and an upper bound for the period of the limit cycles is given. Both the annular region and the upper bound of the period are explicitly computable.