Traveling waves and spreading speeds for time-space periodic monotone systems

By Jian Fang, Xiao Yu, Xiao-Qiang Zhao. 2015

112 citations recorded by the source corpus.

The theory of traveling waves and spreading speeds is developed for time-space periodic monotone semiflows with monostable structure. By using traveling waves of the associated Poincar\'e maps in a strong sense, we establish the existence of time-space periodic traveling waves and spreading speeds. We then apply these abstract results to a two species competition reaction-advection-diffusion model. It turns out that the minimal wave speed exists and coincides with the single spreading speed for such a system no matter whether the spreading speed is linearly determinate. We also obtain a set of sufficient conditions for the spreading speed to be linearly determinate.

Subfields: Computer Networks and Communications, Mathematical Physics, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/9961850754f07289c20df5387ca222bb9c348cef

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. Xiao-Qiang Zhao
2. Taishan Yi
3. Peter J. Gawthrop
4. Geraint Bevan

In Mathematical Physics

1. Taishan Yi
2. Xiao-Qiang Zhao
3. Jian Fang
4. Wan-Tong Li
5. Xing Liang
6. Wenxian Shen
7. Guo Lin

In Public Health, Environmental and Occupational Health

1. Taishan Yi
2. Xiao-Qiang Zhao
3. Jian Fang
4. Wenxian Shen
5. Wan-Tong Li
6. Xing Liang
7. Arnaud Ducrot
8. Xingfu Zou

Citations in the corpus

• Propagation dynamics for monotone evolution systems without spatial translation invariance (2020, background): “This theory has been greatly developed in [13, 14, 17, 27, 28, 29, 30, 39, 42, 44] for more general monotone and some non-monotone semiflows so that it can be applied to a variety of discrete and continuous-time evolution systems in homogeneous or periodic media.”