epidemic modeling 1principal eigenvalues 1pulsating fronts 1reaction-diffusion 1spatial heterogeneity 1traveling waves 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.AP2026
Front propagation in hybrid reaction-diffusion epidemic models with spatial heterogeneity. Part II: Pulsating traveling waves
Quentin Griette, Hiroshi Matano
The paper proves the existence of pulsating traveling wave solutions for a two‑species reaction‑diffusion epidemic model in a periodic environment, showing that such waves exist fo…
math.AP2025
Front propagation on a general metric graph
Hiroshi Matano, Shuichi Jimbo
We consider a bistable reaction-diffusion equation on a metric graph that is a generalization of the so-called star graphs. More precisely, our graph consists of a bounded fin…
math.AP2025
Front propagation in hybrid reaction-diffusion epidemic models with spatial heterogeneity. Part I: Spreading speed and asymptotic behavior
Quentin Griette, Hiroshi Matano
We consider a two-species reaction-diffusion system in one space dimension that is derived from an epidemiological model in a spatially periodic environment with two types of patho…