Abstract and Applied Analysis

Time Delayed Stage-Structured Predator-Prey Model with Birth Pulse and Pest Control Tactics

Mei Yan, Yongfeng Li, and Zhongyi Xiang

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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.

Article information

Source
Abstr. Appl. Anal., Volume 2014 (2014), Article ID 935923, 15 pages.

Dates
First available in Project Euclid: 2 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412273310

Digital Object Identifier
doi:10.1155/2014/935923

Mathematical Reviews number (MathSciNet)
MR3198275

Zentralblatt MATH identifier
07023347

Citation

Yan, Mei; Li, Yongfeng; Xiang, Zhongyi. Time Delayed Stage-Structured Predator-Prey Model with Birth Pulse and Pest Control Tactics. Abstr. Appl. Anal. 2014 (2014), Article ID 935923, 15 pages. doi:10.1155/2014/935923. https://projecteuclid.org/euclid.aaa/1412273310


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