Complex Dynamics in a Singular Delayed Bioeconomic Model with and without Stochastic Fluctuation
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-10-27
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
A singular delayed biological economic predator-prey system with and without stochastic fluctuation is proposed.
The conditions of singularity induced bifurcation are gained, and a state feedback controller is designed to eliminate such bifurcation.
Furthermore, saddle-node bifurcation is also showed.
Next, the local stability of the positive equilibrium and the existence of Hopf bifurcation are obtained by analyzing the distribution of roots of the corresponding characteristic equation, and the hybrid control strategy is used to control the occurrence of Hopf bifurcation.
In addition, some explicit formulas determining the spectral densities of the populations and harvest effort are given when the system is considered with stochastic fluctuation.
Finally, numerical simulations are illustrated to verify the theoretical results.
American Psychological Association (APA)
Meng, Xin-You& Zhang, Qing-ling. 2015. Complex Dynamics in a Singular Delayed Bioeconomic Model with and without Stochastic Fluctuation. Discrete Dynamics in Nature and Society،Vol. 2015, no. 2015, pp.1-15.
https://search.emarefa.net/detail/BIM-1060456
Modern Language Association (MLA)
Meng, Xin-You& Zhang, Qing-ling. Complex Dynamics in a Singular Delayed Bioeconomic Model with and without Stochastic Fluctuation. Discrete Dynamics in Nature and Society No. 2015 (2015), pp.1-15.
https://search.emarefa.net/detail/BIM-1060456
American Medical Association (AMA)
Meng, Xin-You& Zhang, Qing-ling. Complex Dynamics in a Singular Delayed Bioeconomic Model with and without Stochastic Fluctuation. Discrete Dynamics in Nature and Society. 2015. Vol. 2015, no. 2015, pp.1-15.
https://search.emarefa.net/detail/BIM-1060456
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1060456