Bistable Traveling Waves for Monotone Semiflows with Applications

By Jian Fang, Xiao-Qiang Zhao. 2011

223 citations recorded by the source corpus.

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.

Subfields: Computer Networks and Communications, Geometry and Topology, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/144e3c0825577033b1ed4ffff4b4061d261d4868

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computer Networks and Communications

1. Weiwei Ding
2. Xiao-Qiang Zhao
3. François Hamel
4. Grégoire Nadin
5. Lionel Roques
6. Henri Berestycki
7. Wenxian Shen
8. Peter J. Gawthrop

In Geometry and Topology

1. François Hamel
2. Weiwei Ding
3. Xiao-Qiang Zhao

In Public Health, Environmental and Occupational Health

1. Xiao-Qiang Zhao
2. Weiwei Ding
3. François Hamel
4. Wenxian Shen
5. Jian Fang
6. Grégoire Nadin
7. Zhi-Cheng Wang
8. Wan-Tong Li

Citations in the corpus

• Bistable pulsating fronts for reaction-diffusion equations in a periodic habitat (2014, methodology): “X.-Q. Zhao’s research is supported in part by the NSERC of Canada.”