Abstract and Applied Analysis

Stability and Permanence of a Pest Management Model with Impulsive Releasing and Harvesting

Jiangtao Yang and Zhichun Yang

Full-text: Open access

Abstract

We formulate a pest management model with periodically releasing infective pests, immature and mature natural enemies, and harvesting pests and crops at two different fixed moments. Sufficient conditions ensuring the locally and globally asymptotical stability of the susceptible pest-eradication period solution are found by means of Floquet theory, small amplitude perturbation techniques, and multicomparison results. Furthermore, the permanence of system is also derived. By numerical analysis, we also show that impulsive releasing and harvesting at two different fixed moments can bring obvious effects on the dynamics of system, which also corroborates our theoretical results.

Article information

Source
Abstr. Appl. Anal., Volume 2013, Special Issue (2013), Article ID 832701, 18 pages.

Dates
First available in Project Euclid: 26 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393449442

Digital Object Identifier
doi:10.1155/2013/832701

Mathematical Reviews number (MathSciNet)
MR3045065

Zentralblatt MATH identifier
1272.92050

Citation

Yang, Jiangtao; Yang, Zhichun. Stability and Permanence of a Pest Management Model with Impulsive Releasing and Harvesting. Abstr. Appl. Anal. 2013, Special Issue (2013), Article ID 832701, 18 pages. doi:10.1155/2013/832701. https://projecteuclid.org/euclid.aaa/1393449442


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