Pattern Formation in a Cross-Diffusive Holling-Tanner Model
Joint Authors
Guo, Zhengguang
Lin, Yezhi
Wang, Weiming
Upadhyay, Ranjit Kumar
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-12-30
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We present a theoretical analysis of the processes of pattern formation that involves organisms distribution and their interaction of spatially distributed population with self- as well as cross-diffusion in a Holling-Tanner predator-prey model; the sufficient conditions for the Turing instability with zero-flux boundary conditions are obtained; Hopf and Turing bifurcation in a spatial domain is presented, too.
Furthermore, we present novel numerical evidence of time evolution of patterns controlled by self- as well as cross-diffusion in the model, and find that the model dynamics exhibits a cross-diffusion controlled formation growth not only to spots, but also to strips, holes, and stripes-spots replication.
And the methods and results in the present paper may be useful for the research of the pattern formation in the cross-diffusive model.
American Psychological Association (APA)
Wang, Weiming& Guo, Zhengguang& Upadhyay, Ranjit Kumar& Lin, Yezhi. 2012. Pattern Formation in a Cross-Diffusive Holling-Tanner Model. Discrete Dynamics in Nature and Society،Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-501405
Modern Language Association (MLA)
Wang, Weiming…[et al.]. Pattern Formation in a Cross-Diffusive Holling-Tanner Model. Discrete Dynamics in Nature and Society No. 2012 (2012), pp.1-12.
https://search.emarefa.net/detail/BIM-501405
American Medical Association (AMA)
Wang, Weiming& Guo, Zhengguang& Upadhyay, Ranjit Kumar& Lin, Yezhi. Pattern Formation in a Cross-Diffusive Holling-Tanner Model. Discrete Dynamics in Nature and Society. 2012. Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-501405
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-501405