Stability and Bifurcation Analysis of a Singular Delayed Predator-Prey Bioeconomic Model with Stochastic Fluctuations
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-12-07
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
This study investigates a singular delayed predator-prey bioeconomic model with stochastic fluctuations, which is described by differential-algebraic equations because of economic factors.
The interior equilibrium of the singular delayed predator-prey bioeconomic model switches from being stable to unstable and then back to being stable, with the increase in time delay.
The critical values for stability switches and Hopf bifurcations can be analytically determined.
Subsequently, the effect of a fluctuating environment on the singular stochastic delayed predator-prey bioeconomic model obtained by introducing Gaussian white noise terms to the aforementioned deterministic model system is discussed.
The fluctuation intensity of the population and harvest effort are calculated by Fourier transform method.
Numerical simulation results are presented to verify the effectiveness of the conclusions.
American Psychological Association (APA)
Zhang, Yue& Zhang, Qing-ling. 2014. Stability and Bifurcation Analysis of a Singular Delayed Predator-Prey Bioeconomic Model with Stochastic Fluctuations. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1044352
Modern Language Association (MLA)
Zhang, Yue& Zhang, Qing-ling. Stability and Bifurcation Analysis of a Singular Delayed Predator-Prey Bioeconomic Model with Stochastic Fluctuations. Mathematical Problems in Engineering No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-1044352
American Medical Association (AMA)
Zhang, Yue& Zhang, Qing-ling. Stability and Bifurcation Analysis of a Singular Delayed Predator-Prey Bioeconomic Model with Stochastic Fluctuations. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1044352
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1044352