Entire Solutions for a Belousov-Zhabotinsky System with Time Delay

This paper is going to investigate a time-delay Belousov-Zhabotinsky model with reaction terms, the purpose of which is used to describe the generation process of bromic acid. In light of the nonlinear functional analysis method, we obtain that there exists an entire solutions whose behaviour conducts as two wave fronts being from positive semi-axis and negative semi-axis of the x-axis, where a canonical solution, expression for all space variable x and time variable t, is called an entire solution.