Numerical Analysis of Discrete Switching Prey-Predator Model for Integrated Pest Management
Joint Authors
Xiang, Zhongyi
Yang, Yi
Xiang, Changcheng
Qin, Wenjie
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-12-08
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
The switching discrete prey-predator model concerning integrated pest management has been proposed, and the switches are guided by the economic threshold (ET).
To begin with, the regular and virtual equilibria of switching system have been discussed and the key parameter bifurcation diagrams for the existence of equilibria have been proposed, which reveal the three different regions of equilibria.
Besides, numerical bifurcation analyses show that the switching discrete system may have complicated dynamics behavior including chaos and the coexistence of multiple attractors.
Finally, the effects of key parameters on the switching frequencies and switching times are discussed and the sensitivity analysis of varying parameter values for mean switching times has also been given.
The results proved that economic threshold (ET) and the growth rate (α) were the key parameters for pest control.
American Psychological Association (APA)
Xiang, Changcheng& Yang, Yi& Xiang, Zhongyi& Qin, Wenjie. 2016. Numerical Analysis of Discrete Switching Prey-Predator Model for Integrated Pest Management. Discrete Dynamics in Nature and Society،Vol. 2016, no. 2016, pp.1-11.
https://search.emarefa.net/detail/BIM-1103619
Modern Language Association (MLA)
Xiang, Changcheng…[et al.]. Numerical Analysis of Discrete Switching Prey-Predator Model for Integrated Pest Management. Discrete Dynamics in Nature and Society No. 2016 (2016), pp.1-11.
https://search.emarefa.net/detail/BIM-1103619
American Medical Association (AMA)
Xiang, Changcheng& Yang, Yi& Xiang, Zhongyi& Qin, Wenjie. Numerical Analysis of Discrete Switching Prey-Predator Model for Integrated Pest Management. Discrete Dynamics in Nature and Society. 2016. Vol. 2016, no. 2016, pp.1-11.
https://search.emarefa.net/detail/BIM-1103619
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1103619