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2013 Two Generalized Predator-Prey Models for Integrated Pest Management with Stage Structure and Disease in the Prey Population
Ruiqing Shi, Sanyi Tang, Wenli Feng
Abstr. Appl. Anal. 2013: 1-13 (2013). DOI: 10.1155/2013/424723

Abstract

Stage-structured predator-prey models with disease in the prey are constructed. For the purpose of integrated pest management, two types of impulsive control strategies (impulsive release of infective prey and impulsive release of predator) are used. For Case 1, infective prey applications are more frequent than releases of predator (natural enemies). For Case 2, predator (natural enemies) releases are more frequent than infective prey applications. In both cases, we get the sufficient conditions for the global attractivity of the susceptible prey-eradication periodic solution. In addition, the persistence of the systems is also discussed. At last, the results are discussed and some possible future work is put forward.

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Ruiqing Shi. Sanyi Tang. Wenli Feng. "Two Generalized Predator-Prey Models for Integrated Pest Management with Stage Structure and Disease in the Prey Population." Abstr. Appl. Anal. 2013 1 - 13, 2013. https://doi.org/10.1155/2013/424723

Information

Published: 2013
First available in Project Euclid: 18 April 2013

zbMATH: 06161334
MathSciNet: MR3034990
Digital Object Identifier: 10.1155/2013/424723

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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