Abstract
In this paper, we study the existence and nonexistence of a nonlocal dispersal cholera model with vaccination. First, we explore the existence of traveling wave solution whenR0 > 1andc ≥ c∗by using the Schauder's fixed‐point theorem associated with the upper‐lower solutions. Moreover, the Lyapunov functional is used to show the boundary asymptotic behavior of traveling wave solution. Furthermore, in the case whenR0 > 1andc < c∗, we show that the model system has nonexistence of traveling wave solution on the basis of the Laplace transform. At last, we discuss how the spatial movement and vaccination affect the minimal wave speed.
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.
