This paper is concerned with a class of reaction–diffusion systems with cross-diffusion which have various applications such as autocatalytic chemical reaction, predator–prey interactions, combustion and so on. By imposing some suitable structure assumptions, we establish the global existence and asymptotic behavior of solutions of the system in a two-dimensional bounded domain with Neumann boundary conditions.

中文翻译：

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一类具有交叉扩散的反应-扩散系统的全局可解性

本文涉及一类具有交叉扩散的反应-扩散系统，其具有多种应用，例如自催化化学反应、捕食者-猎物相互作用、燃烧等。通过施加一些合适的结构假设，我们在具有诺依曼边界条件的二维有界域中建立了系统解的全局存在性和渐近行为。