Necessary and sufficient conditions for the existence of periodic solutions in a predator-prey model

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 scale $\mathbb{T}$ is taken as $\mathbb{R}$, with a small change on the condition over generalized functional response on the prey.