Abstract
This paper is concerned with the existence and nonexistence of traveling wave solutions of a nonlocal dispersal SIR model with nonlocal delayed transmission. The threshold dynamics are determined by the so-called basic reproduction number of the corresponding reaction system and the critical wave speed. Our results imply that (i) the diffusion ability of the infected individuals can accelerate the wave speed; and (ii) the incubation period can slow down the propagation while the non-locality of interaction would speed up the spread of the disease. In particular, we remove the usual condition that the nonlocal dispersal kernel function is compacted supported.
Sign-in/Register to access full text options 
Free) 
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 call
