On a stochastic reaction-diffusion system modeling pattern formation on seashells

被引：13
|
作者：
Kelkel, Jan [1 ]
Surulescu, Christina [1 ]
机构：
[1] Univ Stuttgart, Inst Appl Anal & Numer Simulat, D-70569 Stuttgart, Germany
来源：
JOURNAL OF MATHEMATICAL BIOLOGY | 2010年 / 60卷 / 06期
关键词：
Pattern formation; Stochastic reaction-diffusion equations; PARTIAL-DIFFERENTIAL EQUATIONS; GIERER-MEINHARDT SYSTEM; SPIKES;
D O I：
10.1007/s00285-009-0284-5
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
Starting from the Gierer-Meinhardt setting, we propose a stochastic model to characterize pattern formation on seashells under the influence of random space-time fluctuations. We prove the existence of a positive solution for the resulting system and perform numerical simulations in order to assess the behavior of the solution in comparison with the deterministic approach.
引用
收藏
页码：765 / 796
页数：32
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