Dynamical analysis of a pest management model with saturated growth rate and state dependent impulsive effects
type: Item
instance of: scholarly article
title: Dynamical analysis of a pest management model with saturated growth rate and state dependent impulsive effects
zbMATH Open document ID: 1298.34085
DOI: 10.1155/2013/204642
author: Wencai Zhao
author: Tongqian Zhang
author: Yang Yang
author: Xinzhu Meng
published in: Abstract and Applied Analysis
publication date: 2014-06-23T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 34C60
Mathematics Subject Classification ID: 34A37
Mathematics Subject Classification ID: 34D20
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 92D40
zbMATH DE Number: 6306523
zbMATH Keywords: stability
zbMATH Keywords: periodic solution
zbMATH Keywords: numerical simulations
Wikidata QID: Q58915536
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/204642
OpenAlex ID: W2009924937
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description: scientific article; zbMATH DE number 6306523