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...

Fuld beskrivelse

Bibliografiske detaljer
Main Authors:	Gaffney, E, Krause, A, Maini, P, wang, C
Format:	Journal article
Sprog:	English
Udgivet:	American Institute of Mathematical Sciences 2023

Lignende værker

Turing pattern formation in reaction-cross-diffusion systems with a bilayer geometry
af: Diaz, A, et al.
Udgivet: (2024)

Pattern formation in spatially heterogeneous Turing reaction-diffusion models
af: Page, K, et al.
Udgivet: (2003)

Pattern formation in spatially heterogeneous Turing reaction-diffusion models
af: Page, K, et al.
Udgivet: (2003)

On the speed of propagation in Turing patterns for reaction-diffusion systems
af: Klika, V, et al.
Udgivet: (2024)

Oscillatory Turing Patterns in a Simple Reaction-Diffusion System
af: Liu, R, et al.
Udgivet: (2007)

Oscillatory Turing patterns in a simple reaction-diffusion system
af: Liu, R, et al.
Udgivet: (2007)

Data for paper "From One Pattern into Another: Analysis of Turing Patterns in Heterogeneous Domains via WKBJ"
af: Krause, A, et al.
Udgivet: (2019)

From one pattern into another: analysis of Turing patterns in heterogeneous domains via WKBJ
af: Krause, A, et al.
Udgivet: (2020)

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

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

Isolating patterns in open reaction-diffusion systems
af: Krause, AL, et al.
Udgivet: (2021)

Modern perspectives on near-equilibrium analysis of Turing systems
af: Krause, AL, et al.
Udgivet: (2021)

Analysis of stationary droplets in a generic Turing reaction-diffusion system
af: Woolley, T, et al.
Udgivet: (2010)

Analysis of stationary droplets in a generic Turing reaction-diffusion system.
af: Woolley, T, et al.
Udgivet: (2010)

The bifurcation analysis of Turing pattern formation induced by delay and diffusion in the Schnakenberg System
af: Gaffney, E, et al.
Udgivet: (2016)

Turing Bifurcation and Pattern Formation of Stochastic Reaction-Diffusion System
af: Qianiqian Zheng, et al.
Udgivet: (2017-01-01)

Turing's model for biological pattern formation and the robustness problem.
af: Maini, P, et al.
Udgivet: (2012)

Bespoke Turing systems
af: Woolley, TE, et al.
Udgivet: (2021)

Spatial patterning in modified Turing systems: Application to pigmentation patterns on marine fish
af: Aragón, J, et al.
Udgivet: (1998)

Unravelling the Turing bifurcation using spatially varying diffusion coefficients
af: Benson, D, et al.
Udgivet: (1998)

Unravelling the Turing bifurcation using spatially varying diffusion coefficients
af: Benson, D, et al.
Udgivet: (1998)

Turing's model for biological pattern formation and the robustness problem
af: Maini, P, et al.
Udgivet: (2012)

Data for paper "Heterogeneity Induces Spatiotemporal Oscillations in Reaction-Diffusions Systems"
af: Krause, A, et al.
Udgivet: (2018)

Heterogeneity induces spatiotemporal oscillations in reaction-diffusion systems
af: Krause, A, et al.
Udgivet: (2018)

Turing patterning in stratified domains
af: Krause, AL, et al.
Udgivet: (2020)

Turing and Non-Turing patterns in diffusive plankton model
af: N. K. Thakur, et al.
Udgivet: (2015-03-01)

Cross-diffusion induced Turing and non-Turing patterns in Rosenzweig–MacArthur model
af: Nayana Mukherjee, et al.
Udgivet: (2019-03-01)

Turing patterns in fish skin?
af: Hofer, T, et al.
Udgivet: (1996)

Turing patterns in fish skin?
af: Hofer, T, et al.
Udgivet: (1996)

Turing instabilities are not enough to ensure pattern formation.
af: Krause, AL, et al.
Udgivet: (2024)

A two-dimensional numerical study of spatial pattern formation in interacting Turing systems
af: Barrio, R, et al.
Udgivet: (1999)

A two-dimensional numerical study of spatial pattern formation in interacting Turing systems.
af: Barrio, R, et al.
Udgivet: (1999)

Effects of intrinsic stochasticity on delayed reaction-diffusion patterning systems.
af: Woolley, T, et al.
Udgivet: (2012)

Effects of intrinsic stochasticity on delayed reaction-diffusion patterning systems.
af: Woolley, T, et al.
Udgivet: (2012)

Effects of intrinsic stochasticity on delayed reaction-diffusion patterning systems
af: Woolley, T, et al.
Udgivet: (2012)

Reaction and diffusion on growing domains: scenarios for robust pattern formation.
af: Crampin, E, et al.
Udgivet: (1999)

Reaction and diffusion on growing domains: Scenarios for robust pattern formation
af: Crampin, E, et al.
Udgivet: (1999)

Gene expression time delays and turing pattern formation systems
af: Gaffney, E, et al.
Udgivet: (2006)

Gene expression time delays and Turing pattern formation systems.
af: Gaffney, E, et al.
Udgivet: (2006)

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