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Volume 5, Issue 2
Traveling Epizootic Waves of a Fox Rabies Model with Small Spatial Diffusion

Jie Wang, Jin Dong & Jian Wang

DOI: 10.12150/jnma.2023.325

J. Nonl. Mod. Anal., 5 (2023), pp. 325-335.

Published online: 2023-08

[An open-access article; the PDF is free to any online user.]

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  • 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.

  • Keywords

Fox rabies, traveling waves, geometric singular perturbation theory, small spatial diffusion.

  • AMS Subject Headings

35K57, 35R35, 92D25, 92D40

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JNMA-5-325, author = {Wang , JieDong , Jin and Wang , Jian}, title = {Traveling Epizootic Waves of a Fox Rabies Model with Small Spatial Diffusion}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2023}, volume = {5}, number = {2}, pages = {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.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2023.325}, url = {http://global-sci.org/intro/article_detail/jnma/21928.html} }
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 -

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.

Wang , JieDong , Jin and Wang , Jian. (2023). Traveling Epizootic Waves of a Fox Rabies Model with Small Spatial Diffusion. Journal of Nonlinear Modeling and Analysis. 5 (2). 325-335. doi:10.12150/jnma.2023.325
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