Abstract
In this paper, we study a reaction–diffusion model with a quiescent stage on a 2D spatial lattice for a single-species population with two separate mobile and stationary states. We investigate the phenomenon of biological invasion using traveling wave theory. Under the monostable assumptions, we show that, for any fixed θ ∈ R , there exists a minimal wave speed c ∗ ( θ ) > 0 such that a traveling wave front exists if and only if its speed is above this minimal wave speed. The asymptotic behavior, monotonicity and uniqueness of the wave profiles are then established. Of particular interest are the effects of the direction of propagation and transfer rates on the minimal wave speed, and we obtain some interesting results.
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.
