Modeling and Analysis of Integrated Pest Control Strategies via Impulsive Differential Equations
Joint Authors
Páez Chávez, Joseph
Jungmann, Dirk
Siegmund, Stefan
Source
International Journal of Differential Equations
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-12-03
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
The paper is concerned with the development and numerical analysis of mathematical models used to describe complex biological systems in the framework of Integrated Pest Management (IPM).
Established in the late 1950s, IPM is a pest management paradigm that involves the combination of different pest control methods in ways that complement one another, so as to reduce excessive use of pesticides and minimize environmental impact.
Since the introduction of the IPM concept, a rich set of mathematical models has emerged, and the present work discusses the development in this area in recent years.
Furthermore, a comprehensive parametric study of an IPM-based impulsive control scheme is carried out via path-following techniques.
The analysis addresses practical questions, such as how to determine the parameter values of the system yielding an optimal pest control, in terms of operation costs and environmental damage.
The numerical study concludes with an exploration of the dynamical features of the impulsive model, which reveals the presence of codimension-1 bifurcations of limit cycles, hysteretic effects, and period-doubling cascades, which is a precursor to the onset of chaos.
American Psychological Association (APA)
Páez Chávez, Joseph& Jungmann, Dirk& Siegmund, Stefan. 2017. Modeling and Analysis of Integrated Pest Control Strategies via Impulsive Differential Equations. International Journal of Differential Equations،Vol. 2017, no. 2017, pp.1-18.
https://search.emarefa.net/detail/BIM-1165814
Modern Language Association (MLA)
Páez Chávez, Joseph…[et al.]. Modeling and Analysis of Integrated Pest Control Strategies via Impulsive Differential Equations. International Journal of Differential Equations No. 2017 (2017), pp.1-18.
https://search.emarefa.net/detail/BIM-1165814
American Medical Association (AMA)
Páez Chávez, Joseph& Jungmann, Dirk& Siegmund, Stefan. Modeling and Analysis of Integrated Pest Control Strategies via Impulsive Differential Equations. International Journal of Differential Equations. 2017. Vol. 2017, no. 2017, pp.1-18.
https://search.emarefa.net/detail/BIM-1165814
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1165814