Proceedings of the 2015 International Conference on Modeling, Simulation and Applied Mathematics

The Existence and Simulations of Periodic Solution of Predator-prey Models with Impulsive Perturbations and Holling Type III Functional Responses

Authors
Kaihua Wang, Zhanji Gui
Corresponding Author
Kaihua Wang
Available Online August 2015.
DOI
https://doi.org/10.2991/msam-15.2015.36How to use a DOI?
Keywords
periodic solution; predator-prey model; coincidence degree theory; impulses
Abstract
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.
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Proceedings
2015 International Conference on Modeling, Simulation and Applied Mathematics
Part of series
Advances in Intelligent Systems Research
Publication Date
August 2015
ISBN
978-94-6252-104-9
ISSN
1951-6851
DOI
https://doi.org/10.2991/msam-15.2015.36How to use a DOI?
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  -