A parabolic system with strong absorption modeling dry-land vegetation

Autor: Jesus Ildefonso Diaz, Danielle Hilhorst, Paris Kyriazopoulos

Publikováno v: Electronic Journal of Differential Equations, Vol 2021, Iss 08,, Pp 1-19 (2021)

We consider a variant of a nonlinear parabolic system, proposed by Gilad, von Hardenberg, Provenzale, Shachak and Meron, in desertification studies, in which there is a strong absorption. The system models the mutual interaction between the biomas

Externí odkaz: https://doaj.org/article/9f2f72d6058b440f865af5d17d13f5c3

Lecture Notes on the Singular Limit of Reaction-diffusion Systems

Autor: Danielle HILHORST, Florian SALIN, Victor SCHNEIDER, Yueyuan GAO

Publikováno v: Interdisciplinary Information Sciences. 29:1-53

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::8c38ce729b5ffad4371e195f3102bd08
https://doi.org/10.4036/iis.2023.a.01

Singular limit for a reaction-diffusion-ODE system in a neolithic transition model

Autor: Yoshihisa Morita, Masayasu Mimura, Danielle Hilhorst, Ján Eliaš

Publikováno v: Journal of Differential Equations. 295:39-69

A reaction-diffusion-ODE model for the Neolithic spread of farmers in Europe has been recently proposed in [7] . In this model, farmers are assumed to be divided into two subpopulations according to a mobility rule, namely, into sedentary and migrati

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::85b038c43d7814fd8256ba6d131d9938
https://doi.org/10.1016/j.jde.2021.05.044

Convergence and structure theorems for order-preserving dynamical systems with mass conservation

Autor: Hiroshi Matano, Toshiko Ogiwara, Danielle Hilhorst

Publikováno v: Discrete & Continuous Dynamical Systems - A. 40:3883-3907

We establish a general theory on the existence of fixed points and the convergence of orbits in order-preserving semi-dynamical systems having a certain mass conservation property (or, equivalently, a first integral). The base space is an ordered met

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::c41e40339b4e55e07fe4bad437e7c40d
https://doi.org/10.3934/dcds.2020129

A nonlinear parabolic-hyperbolic system for contact inhibition and a degenerate parabolic fisher kpp equation

Autor: Tohru Wakasa, Hirofumi Izuhara, Michiel Bertsch, Masayasu Mimura, Danielle Hilhorst

Publikováno v: Discrete and continuous dynamical systems 40 (2020): 3117–3142. doi:10.3934/dcds.2019226
info:cnr-pdr/source/autori:Bertsch, Michiel; Hilhorst, Danielle; Izuhara, Hirofumi; Mimura, Masayasu; Wakasa, Tohru/titolo:A NONLINEAR PARABOLIC-HYPERBOLIC SYSTEM FOR CONTACT INHIBITION AND A DEGENERATE PARABOLIC FISHER KPP EQUATION/doi:10.3934%2Fdcds.2019226/rivista:Discrete and continuous dynamical systems/anno:2020/pagina_da:3117/pagina_a:3142/intervallo_pagine:3117–3142/volume:40

We consider a mathematical model describing population dynamics of normal and abnormal cell densities with contact inhibition of cell growth from a theoretical point of view. In the first part of this paper, we discuss the global existence of a solut

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a286eee32d4f8e633af0b0156a3f3684
https://doi.org/10.3934/dcds.2019226