@Article{JPDE-4-1,
author = {Li Zhengyuan, Ye Qixiao},
title = {Travelling Wave Front Solutions for Reaction-diffusion Systems},
journal = {Journal of Partial Differential Equations},
year = {1991},
volume = {4},
number = {3},
pages = {1--14},
abstract = { In this paper by using upper-lower solution method, under appropriate assumptions on f and g the existence of travelling wave front solutions for the following reaction-diffusion system is proved: {u_t - u_{xx}, = f(u,v) v_t - v_{xx} = g(u, v) As an application, the necessary and sufficient condition of the existence of monotone solutions for the boundary value problem {u" + cu' + u(1 - u- rv) = 0 v" + cv' - buv = 0 u(-&#8734) = v(+&#8734) = 0 u(+&#8734) = v(-&#8734) = 1 where 0 < r < 1, 0 < b < \frac{1 - r}{r} are known constants and c is unknown constant to be obtained.},
issn = {2079-732X},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jpde/5771.html}
}