Bistable Traveling Waves for Monotone Semiflows with Applications
  This paper is devoted to the study of traveling waves for monotone evolution systems of bistable type. Under an abstract setting, we establish the existence of bistable traveling waves for discrete and continuous-time monotone semiflows. This result is then extended to the cases of periodic habitat and weak compactness, respectively. We also apply the developed theory to four classes of evolution systems. 
Jian Fang and Xiao-Qiang Zhao
math.AP math.DS