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168 papers · 1 filter
Spreading Properties of a City-Road Reaction-Diffusion Model on One-Dimensional Lattice
Grégory Faye, Jean-Michel Roquejoffre, Min Zhao
We propose and study a new model to describe biological invasions constrained on infinite homogeneous one dimensional metric graphs. Our model consists of an infinite PDE-ODE syste…
Inverse problem for the discrete Maxwell equations in a bounded paving
Olivier Poisson
We consider the discrete anisotropic Maxwell operator DaH0 on a bounded paving Z3 , where H0 denotes discrete isotropic Maxwell operator and Da a diagonal operator of…
Averaged models for compressible two-phase stratified flows on thin domains
Nicolas Seguin, Khaled Saleh, Pierrick Le Vourc'H
This paper deals with the derivation of compressible two-phase flow models. We use a thin domain approximation of a two-layer configuration governed by the Navier-Stokes equations,…
Periodic KPP equations: new insights into persistence, spreading, and the role of advection
Nathanaël Boutillon, François Hamel, Lionel Roques
We focus on the persistence and spreading properties for a heterogeneous Fisher-KPP equation with advection. After reviewing the different notions of persistence and spreading spee…
Comparison Between Effective and Individual Growth Rates in a Heterogeneous Population
Marie Doumic, Anaïs Rat, Magali Tournus
Is there an advantage to heterogeneity in a population where individuals grow and divide by fission? This is a broad question, to which there is no easy universal answer. This arti…
Qualitative properties of the spreading speed of a population structured in space and in phenotype
Nathanaël Boutillon
We consider a nonlocal Fisher-KPP equation that models a population structured in space and in phenotype. The population lives in a heterogeneous periodic environment: the diffusio…