Spatial heterogeneity localizes Turing patterns in reaction-cross-diffusion systems

Spatial heterogeneity localizes Turing patterns in reaction-cross-diffusion systems

Motivated by bacterial chemotaxis and multi-species ecological interactions in heterogeneous environments, we study a general one-dimensional reaction-cross-diffusion system in the presence of spatial heterogeneity in both transport and reaction terms. Under a suitable asymptotic assumption that the...

Полное описание

Библиографические подробности
Главные авторы:	Gaffney, E, Krause, A, Maini, P, wang, C
Формат:	Journal article
Язык:	English
Опубликовано:	American Institute of Mathematical Sciences 2023

Схожие документы

Turing pattern formation in reaction-cross-diffusion systems with a bilayer geometry
по: Diaz, A, и др.
Опубликовано: (2024)

Pattern formation in spatially heterogeneous Turing reaction-diffusion models
по: Page, K, и др.
Опубликовано: (2003)

Pattern formation in spatially heterogeneous Turing reaction-diffusion models
по: Page, K, и др.
Опубликовано: (2003)

On the speed of propagation in Turing patterns for reaction-diffusion systems
по: Klika, V, и др.
Опубликовано: (2024)

Oscillatory Turing Patterns in a Simple Reaction-Diffusion System
по: Liu, R, и др.
Опубликовано: (2007)

Oscillatory Turing patterns in a simple reaction-diffusion system
по: Liu, R, и др.
Опубликовано: (2007)

Data for paper "From One Pattern into Another: Analysis of Turing Patterns in Heterogeneous Domains via WKBJ"
по: Krause, A, и др.
Опубликовано: (2019)

From one pattern into another: analysis of Turing patterns in heterogeneous domains via WKBJ
по: Krause, A, и др.
Опубликовано: (2020)

Spatial and spatiotemporal pattern formation in generalised turing systems
по: Maini, P
Опубликовано: (1996)

Spatial and spatiotemporal pattern formation in generalised Turing systems
по: Maini, P
Опубликовано: (1996)

Isolating patterns in open reaction-diffusion systems
по: Krause, AL, и др.
Опубликовано: (2021)

Modern perspectives on near-equilibrium analysis of Turing systems
по: Krause, AL, и др.
Опубликовано: (2021)

Analysis of stationary droplets in a generic Turing reaction-diffusion system
по: Woolley, T, и др.
Опубликовано: (2010)

Analysis of stationary droplets in a generic Turing reaction-diffusion system.
по: Woolley, T, и др.
Опубликовано: (2010)

The bifurcation analysis of Turing pattern formation induced by delay and diffusion in the Schnakenberg System
по: Gaffney, E, и др.
Опубликовано: (2016)

Turing's model for biological pattern formation and the robustness problem.
по: Maini, P, и др.
Опубликовано: (2012)

Turing Bifurcation and Pattern Formation of Stochastic Reaction-Diffusion System
по: Qianiqian Zheng, и др.
Опубликовано: (2017-01-01)

Bespoke Turing systems
по: Woolley, TE, и др.
Опубликовано: (2021)

Turing's model for biological pattern formation and the robustness problem
по: Maini, P, и др.
Опубликовано: (2012)

Unravelling the Turing bifurcation using spatially varying diffusion coefficients
по: Benson, D, и др.
Опубликовано: (1998)

Unravelling the Turing bifurcation using spatially varying diffusion coefficients
по: Benson, D, и др.
Опубликовано: (1998)

Spatial patterning in modified Turing systems: Application to pigmentation patterns on marine fish
по: Aragón, J, и др.
Опубликовано: (1998)

Data for paper "Heterogeneity Induces Spatiotemporal Oscillations in Reaction-Diffusions Systems"
по: Krause, A, и др.
Опубликовано: (2018)

Heterogeneity induces spatiotemporal oscillations in reaction-diffusion systems
по: Krause, A, и др.
Опубликовано: (2018)

Turing patterning in stratified domains
по: Krause, AL, и др.
Опубликовано: (2020)

Turing and Non-Turing patterns in diffusive plankton model
по: N. K. Thakur, и др.
Опубликовано: (2015-03-01)

Cross-diffusion induced Turing and non-Turing patterns in Rosenzweig–MacArthur model
по: Nayana Mukherjee, и др.
Опубликовано: (2019-03-01)

Turing patterns in fish skin?
по: Hofer, T, и др.
Опубликовано: (1996)

Turing patterns in fish skin?
по: Hofer, T, и др.
Опубликовано: (1996)

Turing instabilities are not enough to ensure pattern formation.
по: Krause, AL, и др.
Опубликовано: (2024)

A two-dimensional numerical study of spatial pattern formation in interacting Turing systems
по: Barrio, R, и др.
Опубликовано: (1999)

A two-dimensional numerical study of spatial pattern formation in interacting Turing systems.
по: Barrio, R, и др.
Опубликовано: (1999)

Effects of intrinsic stochasticity on delayed reaction-diffusion patterning systems.
по: Woolley, T, и др.
Опубликовано: (2012)

Effects of intrinsic stochasticity on delayed reaction-diffusion patterning systems.
по: Woolley, T, и др.
Опубликовано: (2012)

Effects of intrinsic stochasticity on delayed reaction-diffusion patterning systems
по: Woolley, T, и др.
Опубликовано: (2012)

Reaction and diffusion on growing domains: scenarios for robust pattern formation.
по: Crampin, E, и др.
Опубликовано: (1999)

Reaction and diffusion on growing domains: Scenarios for robust pattern formation
по: Crampin, E, и др.
Опубликовано: (1999)

Gene expression time delays and turing pattern formation systems
по: Gaffney, E, и др.
Опубликовано: (2006)

Gene expression time delays and Turing pattern formation systems.
по: Gaffney, E, и др.
Опубликовано: (2006)

The impact of Turing's work on pattern formation in biology
по: Maini, P
Опубликовано: (2004)