A predator-prey model with state dependent impulsive effects
Volume 111 / 2014
Annales Polonici Mathematici 111 (2014), 297-308
MSC: Primary 34D05; Secondary 34D30.
DOI: 10.4064/ap111-3-6
Abstract
We investigate a Lotka–Volterra predator-prey model with state dependent impulsive effects, in which the control strategies by releasing natural enemies and spraying pesticide at different thresholds are considered. We present some sufficient conditions to guarantee the existence and asymptotical stability of semi-trivial periodic solutions and positive periodic solutions.
