arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1105.0981q-bio.PEmath.AP
收藏

关于反应扩散复制子系统:空间模式和渐近行为

On the reaction-diffusion replicator systems: Spatial patterns and asymptotic behavior

Artem S. Novozhilov, Vladimir P. Posvyanskii, Alexander S. Bratus

摘要:

复制子方程在数学生物学的许多领域都是普遍存在的。该方程的主要缺点之一是它不允许明确的空间结构。在这里,我们回顾分析方法,包括空间变量的系统。我们还提供了一个简洁的阐述的结果有关的外观空间模式的复制反应扩散系统。

英文摘要:

The replicator equation is ubiquitous for many areas of mathematical biology. One of major shortcomings of this equation is that it does not allow for an explicit spatial structure. Here we review analytical approaches to include spatial variables to the system. We also provide a concise exposition of the results concerning the appearance of spatial patterns in replicator reaction-diffusion systems.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑