Pattern Formation in a Diffusive Ratio-Dependent Holling-Tanner Predator-Prey Model with Smith Growth
Author
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-28
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
The spatiotemporal dynamics of a diffusive ratio-dependent Holling-Tanner predator-prey model with Smith growth subject to zero-flux boundary condition are investigated analytically and numerically.
The asymptotic stability of the positive equilibrium and the existence of Hopf bifurcation around the positive equilibrium are shown; the conditions of Turing instability are obtained.
And with the help of numerical simulations, it is found that the model exhibits complex pattern replication: stripes, spots-stripes mixtures, and spots Turing patterns.
American Psychological Association (APA)
Yang, Bo. 2013. Pattern Formation in a Diffusive Ratio-Dependent Holling-Tanner Predator-Prey Model with Smith Growth. Discrete Dynamics in Nature and Society،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-472855
Modern Language Association (MLA)
Yang, Bo. Pattern Formation in a Diffusive Ratio-Dependent Holling-Tanner Predator-Prey Model with Smith Growth. Discrete Dynamics in Nature and Society No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-472855
American Medical Association (AMA)
Yang, Bo. Pattern Formation in a Diffusive Ratio-Dependent Holling-Tanner Predator-Prey Model with Smith Growth. Discrete Dynamics in Nature and Society. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-472855
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-472855