Abstract
This paper is concerned with a West Nile virus (WNv) model on a growing
domain, which accounts for habitat expansion of mosquitoes because of
climate warming. We aim to understand the relationship of the growing
rate and the transmission risk of WNv. The basic reproduction number,
which is related to the growing rate and diffusion rate, is introduced
through spectral theory. The conditions to determine whether the virus
vanishes or spreads are deduced.The obtained results reveal that domain
growth leads to increased risk of infection, and is detrimental to the
control and prevention of WNv. To verify the feasibility of our
analytical results on the long time behavior of WNv, some numerical
simulations are given.