Year: 2023
Author: Jie Wang, Jin Dong, Jian Wang
Journal of Nonlinear Modeling and Analysis, Vol. 5 (2023), Iss. 2 : pp. 325–335
Abstract
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.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2023.325
Journal of Nonlinear Modeling and Analysis, Vol. 5 (2023), Iss. 2 : pp. 325–335
Published online: 2023-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 11
Keywords: Fox rabies traveling waves geometric singular perturbation theory small spatial diffusion.