Wavefront propagation in a hyperbolic model of hantavirus infection

Gabriele Grifó, Carmela Curró and Giovanna Valenti

Mathematics and Computers in Simulation (MATCOM), 2026, vol. 249, issue C, 300-322

Abstract: This paper focuses on the study of hantavirus infection in a mouse population. In particular, starting from a 1D two-compartment reaction–diffusion model, in order to depict the evolution of susceptible and infected mice, its hyperbolic extension is deduced to characterize the inertial effects. Moreover, the emergence of smooth and sharp wavefronts between two equilibria is investigated to analyse the system’s response to any abrupt or gradual phenomena that strongly affect the disease and are not directly included in the model parameters. Finally, the effect of the spatio-temporal dependence of the resource availability, which includes both seasonality effects and spatial distribution, is considered to better mimic the combined role of refugia and inertia in hantavirus dynamics. Results lead to the occurrence of both retracting and invading fronts, depending on the excited migration speed, which are characterized by the propagation or the extinction of the disease. Numerical simulations are also conducted to corroborate the analytical one and extract additional insights on the disease evolution in response to any change of external conditions.

Keywords: Hantavirus infection; Hyperbolic reaction-transport models; Sharp-fronted solutions; Singular barrier; Travelling waves (search for similar items in EconPapers)
Date: 2026
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378475426002156
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:249:y:2026:i:c:p:300-322

DOI: 10.1016/j.matcom.2026.05.018

Access Statistics for this article

Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens

More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier
Bibliographic data for series maintained by Catherine Liu ().