Generalized Predator-Prey Model with Nonlinear Impulsive Control Strategy
Joint Authors
Tang, Sanyi
Tang, Guangyao
Qin, Wenjie
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-02-09
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
A generalized predator-prey model concerning integrated pest management and nonlinear impulsive control measures is proposed and analyzed.
The main purpose is to understand how resource limitation affects the successful pest control and pest outbreaks.
The threshold conditions for the stability of the pest-free periodic solution are given firstly.
Once the threshold value exceeds a critical level, both pest and its natural enemy populations can oscillate periodically.
Secondly, in order to address how the limited resources affect the pest control, as an example the Holling II functional response function is chosen.
The numerical results show that predator-prey model with limited resource has complex dynamical behavior.
In addition, it is confirmed that the model has the coexistence of pests and natural enemies for a wide range of parameters.
American Psychological Association (APA)
Qin, Wenjie& Tang, Guangyao& Tang, Sanyi. 2014. Generalized Predator-Prey Model with Nonlinear Impulsive Control Strategy. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-508132
Modern Language Association (MLA)
Qin, Wenjie…[et al.]. Generalized Predator-Prey Model with Nonlinear Impulsive Control Strategy. Journal of Applied Mathematics No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-508132
American Medical Association (AMA)
Qin, Wenjie& Tang, Guangyao& Tang, Sanyi. Generalized Predator-Prey Model with Nonlinear Impulsive Control Strategy. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-508132
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-508132