Abstract
In this paper, we first establish the existence of traveling waves and spreading speeds for time–space periodic monotone systems with monostable structure via the Poincaré maps approach combined with an evolution viewpoint. Our construction of time–space periodic wave profiles also gives rise to a family of almost pulsating waves, which is a new observation in time and space periodic media. We then apply the developed theory to two species competitive reaction–advection–diffusion systems, and prove 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 further obtain a set of sufficient conditions for the linear determinacy.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
