• 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Nonlinear dynamics, psychology and life sciences >The Relevance of Cross-diffusion in the Formation of Turing Patterns
【24h】

The Relevance of Cross-diffusion in the Formation of Turing Patterns

机译：交叉扩散与图灵模式形成的相关性

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

Over the years, the Rosenzweig-MacArthur (RM) model has been used to study simple prey-predator systems. It has been observed, however, that the RM model cannot sustain Turing patterns when using a diagonal diffusion tensor. As a result, researchers have introduced changes to the RM model that induce stable Turing patterns. In most cases, the changes have been made to the so-called response function, changing the interspecies interaction, or by adding an intraspecies interaction to the model. In this communication, we study the original RM model but we include cross-diffusion, which considers off diagonal elements in the diffusion tensor. Although cross-diffusion is well characterized in multicomponent solutions, including electrolytes, it has an apparent counterintuitive meaning in predator-prey systems. We observe, however, that in plant and fish systems, the lack of predator mobility is compensated by their ability to camouflage and attract their prey, which yields a negative cross-diffusion coefficient. We show that negative cross-diffusion is enough to trigger stable Turing patterns in the RM model.
机译：多年来，Rosnzweig-MacArthur（RM）模型已用于研究简单的捕食系统。然而，已经观察到，当使用对角扩散张量时，RM模型不能维持图灵模式。结果，研究人员对RM模型进行了更改，从而引入了稳定的图灵模式。在大多数情况下，已对所谓的响应函数进行了更改，更改了种间交互作用或通过向模型添加了种内交互作用。在此交流中，我们研究了原始的RM模型，但其中包括交叉扩散，该交叉扩散考虑了扩散张量中的对角元素。尽管交叉扩散在包括电解质在内的多组分溶液中得到了很好的表征，但在捕食者－被捕食者系统中它具有明显的反直觉含义。但是，我们观察到，在植物和鱼类系统中，捕食者活动性的不足被其伪装和吸引猎物的能力所弥补，这产生了负的交叉扩散系数。我们表明负的交叉扩散足以触发RM模型中的稳定图灵模式。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号