Dynamical Analysis in a Delayed Predator-Prey System with Stage-Structure for Both the Predator and the Prey
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-02-19
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
A predator-prey system with two delays and stage-structure for both the predator and the prey is considered.
Sufficient conditions for the local stability and the existence of periodic solutions via Hopf bifurcation with respect to both delays are obtained by analyzing the distribution of the roots of the associated characteristic equation.
Specially, the direction of the Hopf bifurcation and the stability of the periodic solutions bifurcating from the Hopf bifurcation are determined by applying the normal form theory and center manifold argument.
Some numerical simulations for justifying the theoretical analysis are also provided.
American Psychological Association (APA)
Zhang, Zizhen& Yang, Huizhong. 2014. Dynamical Analysis in a Delayed Predator-Prey System with Stage-Structure for Both the Predator and the Prey. Discrete Dynamics in Nature and Society،Vol. 2014, no. 2014, pp.1-19.
https://search.emarefa.net/detail/BIM-507292
Modern Language Association (MLA)
Zhang, Zizhen& Yang, Huizhong. Dynamical Analysis in a Delayed Predator-Prey System with Stage-Structure for Both the Predator and the Prey. Discrete Dynamics in Nature and Society No. 2014 (2014), pp.1-19.
https://search.emarefa.net/detail/BIM-507292
American Medical Association (AMA)
Zhang, Zizhen& Yang, Huizhong. Dynamical Analysis in a Delayed Predator-Prey System with Stage-Structure for Both the Predator and the Prey. Discrete Dynamics in Nature and Society. 2014. Vol. 2014, no. 2014, pp.1-19.
https://search.emarefa.net/detail/BIM-507292
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-507292