Comment on ``Existence and stability of periodic solution of a Lotka-Volterra predator-prey model with state dependent impulsive effects'' [J. Comput. Appl. Math. 224, 544--555 (2009)] (Q984898)

According to integrated pest management principles, a class of Lotka-Volterra predator-prey model with state dependent impulsive effects is presented. In this model, the control strategies by releasing natural enemies and spraying pesticide at different thresholds are considered. Sufficient conditions for the existence and stability of a positive order-1 periodic solution are given by the Poincaré map and the properties of Lambert's \(W\)-function. A related work is [\textit{J. Hui} and \textit{D. Zhu}, ``Dynamic complexities for prey-dependent consumption integrated pest management models with impulsive effects'', Chaos Solitons Fractals 29, No.~1, 233--251 (2006; Zbl 1095.92067)].