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2014 Generalized Predator-Prey Model with Nonlinear Impulsive Control Strategy
Wenjie Qin, Guangyao Tang, Sanyi Tang
J. Appl. Math. 2014: 1-11 (2014). DOI: 10.1155/2014/919242

Abstract

A generalized predator-prey model concerning integrated pest management and nonlinear impulsive control measures is proposed and analyzed. The main purpose is to understand how resource limitation affects the successful pest control and pest outbreaks. The threshold conditions for the stability of the pest-free periodic solution are given firstly. Once the threshold value exceeds a critical level, both pest and its natural enemy populations can oscillate periodically. Secondly, in order to address how the limited resources affect the pest control, as an example the Holling II functional response function is chosen. The numerical results show that predator-prey model with limited resource has complex dynamical behavior. In addition, it is confirmed that the model has the coexistence of pests and natural enemies for a wide range of parameters.

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Wenjie Qin. Guangyao Tang. Sanyi Tang. "Generalized Predator-Prey Model with Nonlinear Impulsive Control Strategy." J. Appl. Math. 2014 1 - 11, 2014. https://doi.org/10.1155/2014/919242

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07010795
MathSciNet: MR3170452
Digital Object Identifier: 10.1155/2014/919242

Rights: Copyright © 2014 Hindawi

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