DocumentCode
466982
Title
Two Dimensional Pattern Formation of Prey-predator System
Author
Shen, Hongxia ; Jin, Zhen
Author_Institution
North Univ. of China, Taiyuan
Volume
2
fYear
2007
fDate
July 30 2007-Aug. 1 2007
Firstpage
343
Lastpage
346
Abstract
We investigate the reaction-diffusion system of the classical Bazykin model in spatial two dimensional domain. In this paper, we derive the conditions for turing instability in detail and obtain the turing space, in which the spatial system can emerge turing pattern. Furthermore, we simulate the pattern formation using the periodical boundary condition. Our results show that the Bazykin system stabilizes to a striplike pattern structure when diffusion is present.
Keywords
flow instability; pattern formation; predator-prey systems; reaction-diffusion systems; classical Bazykin model; pattern formation; prey-predator system; reaction-diffusion system; turing instability; Biological system modeling; Biological systems; Chemical analysis; Mathematical model; Mathematics; Pattern formation; Software engineering; Stability analysis; Steady-state; Temperature;
fLanguage
English
Publisher
ieee
Conference_Titel
Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing, 2007. SNPD 2007. Eighth ACIS International Conference on
Conference_Location
Qingdao
Print_ISBN
978-0-7695-2909-7
Type
conf
DOI
10.1109/SNPD.2007.215
Filename
4287705
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