A nonlocal reaction diffusion model of West Nile virus with vertical transmission
Time: February 21 (Wed.) 14:00-15:00
Place: S101, Gongguan Campus, NTNU
Chang Gung University, Taiwan)
West Nile virus (WNv) is a mosquito-borne infection, causing health challenges to bird and human populations. In this talk, I plan to propose a general nonlocal reaction-diffusion model to explore the combined effect of alternative hosts, vector-host movement and spatial-temporal environmental structure on WNv transmission dynamics. The model is partially degenerate and its solution maps lack compactness due to the absence of diffusion terms in larval equations. For this tightly coupled disease model, we introduce the mosquito reproduction number and WNv reproduction number, respectively, and further show that these two aforementioned reproduction numbers completely determine the threshold behaviour of the disease spread. Numerical simulations support our analytic results and suggest that environmental heterogeneity plays an important role in shaping WNv dynamics. Moreover, bird migration may increase the disease risk.
This talk is based on a joint work with Drs. Ruiwen Wu and Xiao-Qiang Zhao.
