The Existence and Simulations of Periodic Solution of Predator-Prey Models with Beddington-DeAngelis Functional Response and Impulsive Perturbations

DOI

10.2991/meic-15.2015.127How to use a DOI?

Keywords

Periodic Solution; Predator-Prey Model; Coincidence degree theory; Impulses; Beddington-DeAngelis Functional Response.

Abstract

In this paper, a predator-prey system with Beddington-DeAngelis functional response is studied, where the n predators prey on one prey. Using the continuation theorem of coincidence degree theory and analysis techniques, a criteria for the existence of periodic solutions of predator-prey models with the Beddington-DeAngelis functional response governed by impulsive differential equations is established. Further, some numerical simulations show that our models can occur in many forms of complexities including periodic oscillation and Gui chaotic strange attractor.

Copyright

© 2015, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Kaihua Wang
AU  - Zhanji Gui
AU  - Yan Yan
PY  - 2015/04
DA  - 2015/04
TI  - The Existence and Simulations of Periodic Solution of Predator-Prey Models with Beddington-DeAngelis Functional Response and Impulsive Perturbations
BT  - Proceedings of the 2015 International Conference on Mechatronics, Electronic, Industrial and Control Engineering
PB  - Atlantis Press
SP  - 555
EP  - 558
SN  - 2352-5401
UR  - https://doi.org/10.2991/meic-15.2015.127
DO  - 10.2991/meic-15.2015.127
ID  - Wang2015/04
ER  -