4 papers
Front propagation in hybrid reaction-diffusion epidemic models with spatial heterogeneity. Part II: Pulsating traveling waves
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…
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 fini…
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…
Front propagation through a perforated wall
Henri Berestycki, François Hamel, Hiroshi Matano
We consider a bistable reaction-diffusion equation on in the presence of an obstacle , which is a wall of infinite span with many holes. More preci…