The Existence and Simulations of Periodic Solution of Predator-Prey Models with Beddington-DeAngelis Functional Response and Impulsive Perturbations
Kaihua Wang, Zhanji Gui, Yan Yan
Available Online April 2015.
- 10.2991/meic-15.2015.127How to use a DOI?
- Periodic Solution; Predator-Prey Model; Coincidence degree theory; Impulses; Beddington-DeAngelis Functional Response.
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.
- © 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/).
Cite this article
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 -