Existence of travelling waves is studied for a delay reaction–diffusion system of equations describing the distribution of viruses and immune cells in the tissue. The proof uses the Leray-Schauder method based on the topological degree for elliptic operators in unbounded domains and on a priori estimates of solutions in weighted spaces.

中文翻译：

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具时滞的双稳态反应扩散系统的波的存在性

研究了行波的存在，建立了一个延迟反应扩散方程组，用于描述组织中病毒和免疫细胞的分布。该证明使用Leray-Schauder方法，该方法基于无界域中椭圆算子的拓扑度，并且基于加权空间中解的先验估计。