Necessary and Sufficient Conditions for the Existence of Periodic Solutions in a Predator-Prey Model

Abstract

Liu et al [14] found necessary and sufficient conditions for the existence of periodic solutions of the predator-prey dynamical systems with semi-ratio dependent generalized functional response. In this work, we obtain a globally attractive or globally asymptotically stable periodic solution for the time sale T is taken as ℝ, with a small change on the condition over generalized functional response on the prey. © 2017 Texas State University.