Open Access
Translator Disclaimer
2013 Dynamical Analysis of a Pest Management Model with Saturated Growth Rate and State Dependent Impulsive Effects
Wencai Zhao, Tongqian Zhang, Xinzhu Meng, Yang Yang
Abstr. Appl. Anal. 2013(SI44): 1-18 (2013). DOI: 10.1155/2013/204642

Abstract

A new pest management mathematical model with saturated growth is proposed. The integrated pest management (IPM) strategy by introducing two state dependent pulses into the model is considered. Firstly, we analyze singular points of the model qualitatively and get the condition for focus point. Secondly, by using geometry theory of impulsive differential equation, the existence and stability of periodic solution of the system are discussed. Lastly, some examples and numerical simulations are given to illustrate our results.

Citation

Download Citation

Wencai Zhao. Tongqian Zhang. Xinzhu Meng. Yang Yang. "Dynamical Analysis of a Pest Management Model with Saturated Growth Rate and State Dependent Impulsive Effects." Abstr. Appl. Anal. 2013 (SI44) 1 - 18, 2013. https://doi.org/10.1155/2013/204642

Information

Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 1298.34085
MathSciNet: MR3064544
Digital Object Identifier: 10.1155/2013/204642

Rights: Copyright © 2013 Hindawi

JOURNAL ARTICLE
18 PAGES


SHARE
Vol.2013 • No. SI44 • 2013
Back to Top