Open Access
2014 Time Delayed Stage-Structured Predator-Prey Model with Birth Pulse and Pest Control Tactics
Mei Yan, Yongfeng Li, Zhongyi Xiang
Abstr. Appl. Anal. 2014: 1-15 (2014). DOI: 10.1155/2014/935923

Abstract

Normally, chemical pesticides kill not only pests but also their natural enemies. In order to better control the pests, two-time delayed stage-structured predator-prey models with birth pulse and pest control tactics are proposed and analyzed by using impulsive differential equations in present work. The stability threshold conditions for the mature prey-eradication periodic solutions of two models are derived, respectively. The effects of key parameters including killing efficiency rate, pulse period, the maximum birth effort per unit of time of natural enemy, and maturation time of prey on the threshold values are discussed in more detail. By comparing the two threshold values of mature prey-extinction, we provide the fact that the second control tactic is more effective than the first control method.

Citation

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Mei Yan. Yongfeng Li. Zhongyi Xiang. "Time Delayed Stage-Structured Predator-Prey Model with Birth Pulse and Pest Control Tactics." Abstr. Appl. Anal. 2014 1 - 15, 2014. https://doi.org/10.1155/2014/935923

Information

Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07023347
MathSciNet: MR3198275
Digital Object Identifier: 10.1155/2014/935923

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
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