Dynamical Analysis of a Pest Management Model with Saturated Growth Rate and State Dependent Impulsive Effects
Joint Authors
Meng, Xinzhu
Zhao, Wencai
Zhang, Tongqian
Yang, Yang
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-09
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Zhao, Wencai& Zhang, Tongqian& Meng, Xinzhu& Yang, Yang. 2013. Dynamical Analysis of a Pest Management Model with Saturated Growth Rate and State Dependent Impulsive Effects. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-18.
https://search.emarefa.net/detail/BIM-454265
Modern Language Association (MLA)
Zhao, Wencai…[et al.]. Dynamical Analysis of a Pest Management Model with Saturated Growth Rate and State Dependent Impulsive Effects. Abstract and Applied Analysis No. 2013 (2013), pp.1-18.
https://search.emarefa.net/detail/BIM-454265
American Medical Association (AMA)
Zhao, Wencai& Zhang, Tongqian& Meng, Xinzhu& Yang, Yang. Dynamical Analysis of a Pest Management Model with Saturated Growth Rate and State Dependent Impulsive Effects. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-18.
https://search.emarefa.net/detail/BIM-454265
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-454265