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Traveling Waves in a Diffusive Predator-Prey Model Incorporating a Prey Refuge
Joint Authors
Wu, Xiujuan
Luo, Yong
Hu, Yizheng
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-24
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
We establish the existence of traveling wave solutions and small amplitude traveling wave train solutions for a reaction-diffusion system based on a predator-prey model incorporating a prey refuge.
By using the shooting argument, invariant manifold theory, and the Hopf bifurcation theorem, we analyze the dynamic behavior of this model in the three-dimensional phase space.
Numerical results are also presented to illustrate the theoretical results.
American Psychological Association (APA)
Wu, Xiujuan& Luo, Yong& Hu, Yizheng. 2014. Traveling Waves in a Diffusive Predator-Prey Model Incorporating a Prey Refuge. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-1014569
Modern Language Association (MLA)
Wu, Xiujuan…[et al.]. Traveling Waves in a Diffusive Predator-Prey Model Incorporating a Prey Refuge. Abstract and Applied Analysis No. 2014 (2014), pp.1-13.
https://search.emarefa.net/detail/BIM-1014569
American Medical Association (AMA)
Wu, Xiujuan& Luo, Yong& Hu, Yizheng. Traveling Waves in a Diffusive Predator-Prey Model Incorporating a Prey Refuge. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-1014569
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014569