Schlosser N (2026)
Publication Type: Journal article
Publication year: 2026
Book Volume: 91
Article Number: 104612
DOI: 10.1016/j.nonrwa.2026.104612
We introduce a novel approach of epidemic modeling by combining age-structured models with damped wave equations. This transforms the parabolic-type reaction-diffusion model into a hyperbolic system that shares many properties with a wave or telegrapher’s equation. After we establish the existence of a weak solution of the resulting partial differential equation by means of characteristics, we show that the solutions to the new model converge to a solution of the standard age-dependent reaction-diffusion equation when we let the wave parameter become arbitrarily small. We conclude with a numerical example to illustrate the behavior of the new model and to further support our findings.
APA:
Schlosser, N. (2026). A wave-type model for age- and space-structured epidemics. Nonlinear Analysis-Real World Applications, 91. https://doi.org/10.1016/j.nonrwa.2026.104612
MLA:
Schlosser, Nicolas. "A wave-type model for age- and space-structured epidemics." Nonlinear Analysis-Real World Applications 91 (2026).
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