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

Extinction and Permanence of a Predator-prey System with Impulsive Control

Authors
Yan Song, Wen Xiao, Yajun Gao, Xiaoyu Qi
Corresponding Author
Yan Song
Available Online August 2015.
DOI
https://doi.org/10.2991/msam-15.2015.88How to use a DOI?
Keywords
predator-prey model; impulsive control; stage structure; global attractivity; permanence
Abstract
Based on the biological control strategy in the pest management, we studied a predator-prey model with delayed stage structure and impulsive control. Using the theories and methods of impulsive delayed differential equations, we obtain the sufficient conditions, which guarantee the global attractivity of pest-eradication periodic solution and permanence of the system.
Open Access
This is an open access article distributed under the CC BY-NC license.

Download article (PDF)

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-15.2015.88How 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  - Yan Song
AU  - Wen Xiao
AU  - Yajun Gao
AU  - Xiaoyu Qi
PY  - 2015/08
DA  - 2015/08
TI  - Extinction and Permanence of a Predator-prey System with Impulsive Control
BT  - 2015 International Conference on Modeling, Simulation and Applied Mathematics
PB  - Atlantis Press
SN  - 1951-6851
UR  - https://doi.org/10.2991/msam-15.2015.88
DO  - https://doi.org/10.2991/msam-15.2015.88
ID  - Song2015/08
ER  -