Traveling Waves Solutions for a Belousov–Zhabotinsky System with Dispersal

This article is devoted to studying the solutions having the form of traveling wave for a nonlocal dispersal equations in connection with Belousov–Zhabotinsky term, the main aim of which is to formulate the formation process of bromic acid. Firstly, with the help of two special functions called upper and lower solutions which are defined by two special functions, the sufficient condition, there is a solution having the form of traveling wave with monotonicity, is stated when the propagation velocity is satisfied with certain condition. Finally, the sufficient condition without traveling wave solutions is also established.