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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap111-3-6,
author = {Changming Ding},
title = {A predator-prey model with state dependent impulsive effects},
journal = {Annales Polonici Mathematici},
volume = {111},
year = {2014},
pages = {297-308},
zbl = {1317.34100},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap111-3-6}
}
Changming Ding. A predator-prey model with state dependent impulsive effects. Annales Polonici Mathematici, Tome 111 (2014) pp. 297-308. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap111-3-6/