The Existence and Simulations of Periodic Solution of Predator-prey Models with Impulsive Perturbations and Holling Type III Functional Responses
Kaihua Wang, Zhanji Gui
Available Online August 2015.
- https://doi.org/10.2991/msam-15.2015.36How to use a DOI?
- periodic solution; predator-prey model; coincidence degree theory; impulses
- In this paper, a criterion for the existence of periodic solutions of predator-prey models with impulsive perturbations and Holling type III functional responses is established using the continuation theorem of coincidence degree theory and analysis techniques. Further, some numerical simulations show that our models can occur in many forms of complexities including periodic oscillation and Gui strange attractors.
- Open Access
- This is an open access article distributed under the CC BY-NC license.
Cite this article
TY - CONF AU - Kaihua Wang AU - Zhanji Gui PY - 2015/08 DA - 2015/08 TI - The Existence and Simulations of Periodic Solution of Predator-prey Models with Impulsive Perturbations and Holling Type III Functional Responses BT - 2015 International Conference on Modeling, Simulation and Applied Mathematics PB - Atlantis Press SN - 1951-6851 UR - https://doi.org/10.2991/msam-15.2015.36 DO - https://doi.org/10.2991/msam-15.2015.36 ID - Wang2015/08 ER -