TY - JOUR
T1 - Traveling Epizootic Waves of a Fox Rabies Model with Small Spatial Diffusion
AU - Wang , Jie
AU - Dong , Jin
AU - Wang , Jian
JO - Journal of Nonlinear Modeling and Analysis
VL - 2
SP - 325
EP - 335
PY - 2023
DA - 2023/08
SN - 5
DO - http://doi.org/10.12150/jnma.2023.325
UR - https://global-sci.org/intro/article_detail/jnma/21928.html
KW - Fox rabies, traveling waves, geometric singular perturbation theory, small spatial diffusion.
AB - <p style="text-align: justify;">In this paper, to describe the spread of fox rabies, a degenerate
SEI epidemic model with small spatial diffusion equipped by infectious foxes
due to rabies is investigated. In particular, the existence of traveling waves
is established by the geometric singular perturbation theory for the larger
speeds, while the non-existence of traveling wave is still derived for the smaller
speeds. Moreover, some numerical simulations are implemented to illustrate
the propagation dynamics driven by traveling waves.</p>