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...

书目详细资料
Main Authors:	Gaffney, E, Krause, A, Maini, P, wang, C
格式:	Journal article
语言:	English
出版:	American Institute of Mathematical Sciences 2023

相似书籍

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Bespoke Turing systems
由: Woolley, TE, et al.
出版: (2021)

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

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

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

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

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

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

Turing patterning in stratified domains
由: Krause, AL, et al.
出版: (2020)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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