Dynamic Analysis of a Predator-Prey (Pest) Model with Disease in Prey and Involving an Impulsive Control Strategy
Joint Authors
Chen, Lansun
Zhao, Min
Wang, Yanzhen
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-08-14
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
The dynamic behaviors of a predator-prey (pest) model with disease in prey and involving an impulsive control strategy to release infected prey at fixed times are investigated for the purpose of integrated pest management.
Mathematical theoretical works have been pursuing the investigation of the local asymptotical stability and global attractivity for the semitrivial periodic solution and population persistent, which depicts the threshold expression of some critical parameters for carrying out integrated pest management.
Numerical analysis indicates that the impulsive control strategy has a strong effect on the dynamical complexity and population persistent using bifurcation diagrams and power spectra diagrams.
These results show that if the release amount of infective prey can satisfy some critical conditions, then all biological populations will coexist.
All these results are expected to be of use in the study of the dynamic complexity of ecosystems.
American Psychological Association (APA)
Zhao, Min& Wang, Yanzhen& Chen, Lansun. 2012. Dynamic Analysis of a Predator-Prey (Pest) Model with Disease in Prey and Involving an Impulsive Control Strategy. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-993890
Modern Language Association (MLA)
Zhao, Min…[et al.]. Dynamic Analysis of a Predator-Prey (Pest) Model with Disease in Prey and Involving an Impulsive Control Strategy. Journal of Applied Mathematics No. 2012 (2012), pp.1-18.
https://search.emarefa.net/detail/BIM-993890
American Medical Association (AMA)
Zhao, Min& Wang, Yanzhen& Chen, Lansun. Dynamic Analysis of a Predator-Prey (Pest) Model with Disease in Prey and Involving an Impulsive Control Strategy. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-993890
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993890