A Holling Type II Pest and Natural Enemy Model with Density Dependent IPM Strategy
Joint Authors
Tang, Sanyi
Wang, Xia
Tian, Yuan
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-06-14
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
Resource limitations and density dependent releasing of natural enemies during the pest control and integrated pest management will undoubtedly result in nonlinear impulsive control.
In order to investigate the effects of those nonlinear control strategies on the successful pest control, we have proposed a pest-natural enemy system concerning integrated pest management with density dependent instant killing rate and releasing rate.
In particular, the releasing rate depicts how the number of natural enemy populations released was guided by their current density at the fixed moment.
The threshold condition which ensures the existence and global stability of pest-free periodic solution has been discussed first, and the effects of key parameters on the threshold condition reveal that reducing the pulse period does not always benefit pest control; that is, frequent releasing of natural enemies may not be beneficial to the eradication of pests when the density dependent releasing method has been implemented.
Moreover, the forward and backward bifurcations could occur once the pest-free periodic solution becomes unstable, and the system could exist with very complex dynamics.
All those results confirm that the control actions should be carefully designed once the nonlinear impulsive control measures have been taken for pest management.
American Psychological Association (APA)
Wang, Xia& Tian, Yuan& Tang, Sanyi. 2017. A Holling Type II Pest and Natural Enemy Model with Density Dependent IPM Strategy. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-12.
https://search.emarefa.net/detail/BIM-1192465
Modern Language Association (MLA)
Wang, Xia…[et al.]. A Holling Type II Pest and Natural Enemy Model with Density Dependent IPM Strategy. Mathematical Problems in Engineering No. 2017 (2017), pp.1-12.
https://search.emarefa.net/detail/BIM-1192465
American Medical Association (AMA)
Wang, Xia& Tian, Yuan& Tang, Sanyi. A Holling Type II Pest and Natural Enemy Model with Density Dependent IPM Strategy. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-12.
https://search.emarefa.net/detail/BIM-1192465
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1192465