Title :
Two Dimensional Pattern Formation of Prey-predator System
Author :
Shen, Hongxia ; Jin, Zhen
Author_Institution :
North Univ. of China, Taiyuan
fDate :
July 30 2007-Aug. 1 2007
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;
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
DOI :
10.1109/SNPD.2007.215
