TY - JOUR T1 - The Existence of Travelling Wave Front Solutions for Reaction-diffusion System AU - Li Zhengyuan JO - Journal of Partial Differential Equations VL - 1 SP - 17 EP - 22 PY - 1992 DA - 1992/05 SN - 5 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5725.html KW - Reaction-diffusion system KW - travelling wave front solutions KW - upper-lower solution method KW - B-Z reaction AB - In this paper by using upper-lower solution method the critical wave speed of wave front for a simplified mathematical model of Belousov-Zhabotinskii chemical reaction u_t - u_{xx} = u(1 - u - rv) v_t - v_{xx} = -buv is obtained, where 0 < r < 1, b > 0 are known.