PATTERN FORMATION FOR SELF-REGULATING HOMEOSTASIS MODEL IN A RECTANGLE
PATTERN FORMATION FOR SELF-REGULATING HOMEOSTASIS MODEL IN A RECTANGLE
复制标题
矩形自调节稳态模型的图案形成
DOI：
10.32219/isms.83.2_127
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发表时间：
2020
期刊：
影响因子：
--
通讯作者：
A. Yagi
中科院分区：
文献类型：
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作者：
Maya Kageyama;A. Yagi
我们继续研究二维自调节稳态模型。在之前的论文[4]中，在引入球体稳态模型后，我们展示了解的全局存在性，并为模型生成的动力系统构造了指数吸引子。我们还通过数值计算表明，白色雏菊和黑色雏菊在球体上表现出非常清晰的分离模式。然后，本文致力于对矩形域中的这种图案形成进行更多研究。我们表明，白色雏菊和黑色雏菊的竞争以及与温度的相互作用创造了几种类型的分离模式，并为地球带来了全球温度的稳态。
We continue the study on two-dimensional self-regulating homeostasis models. In the previous paper [4], after introducing a homeostasis model on a sphere, we showed global existence of solutions and constructed exponential attractors for the dynamical system generated by the model. We furthermore showed by numerical computations that white daisy and black daisy perform very clear segregation patterns on the sphere. This paper is then devoted to investigating more on this pattern formation in a rectangular domain. We show that the competition of white and black daisies and the interaction with temperature create several types of segregation patterns and bring homeostasis of the global temperature to the planet.