Abstract
This paper studies the minimal wave speed of traveling wave solutions in a delayed competitive model, which describes the synchronous invasion of all competitors. Here, the traveling wave solutions connect the trivial steady state with the positive steady state. We confirm the existence and nonexistence of traveling wave solutions for all positive wave speeds, which gives the minimal wave speed and decaying behavior of traveling wave solutions. Our main recipes are comparison principle, upper and lower solutions, contracting rectangles and asymptotic spreading. Moreover, our proof can be extended to Lotka-Volterra type systems to complete earlier conclusions.
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.
