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

DOI

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.

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
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  - Proceedings of the 2015 International Conference on Modeling, Simulation and Applied Mathematics
PB  - Atlantis Press
SP  - 159
EP  - 162
SN  - 1951-6851
UR  - https://doi.org/10.2991/msam-15.2015.36
DO  - 10.2991/msam-15.2015.36
ID  - Wang2015/08
ER  -