Dynamical Behavior of a Predator-prey System with Delayed Stage Structure for the Prey and Impulsive Control

DOI

10.2991/iccte-16.2016.221How to use a DOI?

Keywords

Impulsive, Stage-structure, Time delay, Global attractivity, Permanence.

Abstract

Based on the biological control strategy in the pest management, a delayed stage-structured predator-prey model with impulsive control is considered. Using the theories and methods of impulsive delayed differential equations, sufficient conditions are obtained, which guarantee the global attractivity of pest-eradication periodic solution and permanence of the system.

Copyright

© 2016, 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  - Dongfang Xu
AU  - Ang Li
AU  - Yan Song
PY  - 2016/01
DA  - 2016/01
TI  - Dynamical Behavior of a Predator-prey System with Delayed Stage Structure for the Prey and Impulsive Control
BT  - Proceedings of the 2016 International Conference on Civil, Transportation and Environment
PB  - Atlantis Press
SP  - 1262
EP  - 1266
SN  - 2352-5401
UR  - https://doi.org/10.2991/iccte-16.2016.221
DO  - 10.2991/iccte-16.2016.221
ID  - Xu2016/01
ER  -