A predator-prey model with state dependent impulsive effects

Changming Ding

Annales Polonici Mathematici (2014)

  • Volume: 111, Issue: 3, page 297-308
  • ISSN: 0066-2216

Abstract

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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.

How to cite

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Changming Ding. "A predator-prey model with state dependent impulsive effects." Annales Polonici Mathematici 111.3 (2014): 297-308. <http://eudml.org/doc/280837>.

@article{ChangmingDing2014,
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.},
author = {Changming Ding},
journal = {Annales Polonici Mathematici},
keywords = {impulsive differential equations; state dependent; predator-prey system; periodic solution},
language = {eng},
number = {3},
pages = {297-308},
title = {A predator-prey model with state dependent impulsive effects},
url = {http://eudml.org/doc/280837},
volume = {111},
year = {2014},
}

TY - JOUR
AU - Changming Ding
TI - A predator-prey model with state dependent impulsive effects
JO - Annales Polonici Mathematici
PY - 2014
VL - 111
IS - 3
SP - 297
EP - 308
AB - 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.
LA - eng
KW - impulsive differential equations; state dependent; predator-prey system; periodic solution
UR - http://eudml.org/doc/280837
ER -

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