Dynamic Analysis of a Delayed Reaction-Diffusion Predator-Prey System with Modified Holling-Tanner Functional Response
Joint Authors
Wang, Yapei
Dai, Chuanjun
Pan, Xinhong
Zhao, Min
Source
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-03-19
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
A predator-prey model with modified Holling-Tanner functional response and time delays is considered.
By regarding the delays as bifurcation parameters, the local and global asymptotic stability of the positive equilibrium are investigated.
The system has been found to undergo a Hopf bifurcation at the positive equilibrium when the delays cross through a sequence of critical values.
In addition, the direction of the Hopf bifurcation and the stability of bifurcated periodic solutions are also studied, and an explicit algorithm is obtained by applying normal form theory and the center manifold theorem.
The main results are illustrated by numerical simulations.
American Psychological Association (APA)
Pan, Xinhong& Zhao, Min& Dai, Chuanjun& Wang, Yapei. 2015. Dynamic Analysis of a Delayed Reaction-Diffusion Predator-Prey System with Modified Holling-Tanner Functional Response. Abstract and Applied Analysis،Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1052077
Modern Language Association (MLA)
Pan, Xinhong…[et al.]. Dynamic Analysis of a Delayed Reaction-Diffusion Predator-Prey System with Modified Holling-Tanner Functional Response. Abstract and Applied Analysis No. 2015 (2015), pp.1-12.
https://search.emarefa.net/detail/BIM-1052077
American Medical Association (AMA)
Pan, Xinhong& Zhao, Min& Dai, Chuanjun& Wang, Yapei. Dynamic Analysis of a Delayed Reaction-Diffusion Predator-Prey System with Modified Holling-Tanner Functional Response. Abstract and Applied Analysis. 2015. Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1052077
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1052077