不变区域的应用
The Application of the Invariant Region
摘要:
不变区域是研究反映扩散方程的一个重要理论。可以用来证明整体存在性定理，并且为研究解的长时间渐进行为提供合理的理论基础和框架。三级食物链模型、二聚自催化化学聚合物模型和Gray-Scott模型是生态学和化学领域非常重要的模型。本文主要研究如何找出以上系统的不变区域。
Abstract:
The invariant region is an important theory for reaction-diffusion equation. It can be used to prove the global existence theorem and study the long time behavior of the solution, so it can provide proper theoretical basis and framework. In this paper, we study how to find the invariant region by the three-level food chain model, two-ploy autocatalytic chemical polymer model and Gray-Scott model which are very significant model in the field of ecology and chemistry.
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