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

DOI

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.

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  - 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  - Proceedings of the 2015 International Conference on Modeling, Simulation and Applied Mathematics
PB  - Atlantis Press
SP  - 390
EP  - 393
SN  - 1951-6851
UR  - https://doi.org/10.2991/msam-15.2015.88
DO  - 10.2991/msam-15.2015.88
ID  - Song2015/08
ER  -