On the public citation graph

Diffusion driven instability in an inhomogeneous domain

0 signed · 130 inferred · view as graph

Inferred edges come from two machine sources: sweeps of open repository metadata (mostly SSRN and Zenodo), and a bulk OpenAlex citation snapshot. Every row below is labelled with the one it came from. Neither is a complete citation index — absence here is not evidence of absence.

Is this your work? Sign in with ORCID and put your name on the claims that are yours.
Claim with ORCID
Reference health. See whether every reference in this work resolves to a known work and none has been retracted — and get a dated CiteStamped badge you can embed.
See reference health

What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-3-642-69888-0_12openalex-snapshot
Population Models and Community Structure in Heterogeneous Environments
inferredcites →https://doi.org/10.1007/978-3-642-87422-2_33openalex-snapshot
Spatial Distribution of Rapidly Dispersing Animals in Heterogeneous Environments
inferredcites →https://doi.org/10.1007/bf00160165openalex-snapshot
Pattern formation in generalized Turing systems
inferredcites →https://doi.org/10.1007/bf00167155openalex-snapshot
The effects of spatial heterogeneity in population dynamics
inferredcites →https://doi.org/10.1007/bf00275996openalex-snapshot
Pattern sensitivity to boundary and initial conditions in reaction-diffusion models
inferredcites →https://doi.org/10.1007/bf00280170openalex-snapshot
Size adaptation of turing prepatterns
inferredcites →https://doi.org/10.1007/bf02459519openalex-snapshot
Bifurcation analysis of nonlinear reaction-diffusion equations—I. Evolution equations and the steady state solutions
inferredcites →https://doi.org/10.1016/0022-5193(72)90090-2openalex-snapshot
Dissipative structure: An explanation and an ecological example
inferredcites →https://doi.org/10.1016/0022-5193(79)90042-0openalex-snapshot
Simple chemical reaction systems with limit cycle behaviour
inferredcites →https://doi.org/10.1016/0040-5809(82)90008-9openalex-snapshot
Spatial heterogeneity and interspecific competition
inferredcites →https://doi.org/10.1016/bs.ctdb.2015.11.008openalex-snapshot
Positional Information and Pattern Formation
inferredcites →https://doi.org/10.1016/s0022-5193(69)80016-0openalex-snapshot
Positional information and the spatial pattern of cellular differentiation
inferredcites →https://doi.org/10.1073/pnas.77.7.4180openalex-snapshot
Scale-invariance in reaction-diffusion models of spatial pattern formation.
inferredcites →https://doi.org/10.1098/rstb.1952.0012openalex-snapshot
The chemical basis of morphogenesis
inferredcites →https://doi.org/10.1098/rstb.1981.0152openalex-snapshot
Positional information and pattern formation
inferredcites →https://doi.org/10.1111/j.1432-0436.1984.tb00259.xopenalex-snapshot
Applications of a model for scale-invariant pattern formation in developing systems
inferredcites →https://doi.org/10.1146/annurev.es.07.110176.001443openalex-snapshot
Population Dynamic Models in Heterogeneous Environments
inferredcites →https://doi.org/10.1242/dev.109.4.961openalex-snapshot
Double anterior chick limb buds and models for cartilage rudiment specification
inferredcites →https://doi.org/10.2307/2005674openalex-snapshot
Numerical Initial Value Problems in Ordinary Differential Equations
inferredcites →https://doi.org/10.2307/2531801openalex-snapshot
Reaction-Diffusion Equations and Their Applications to Biology.

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1002/dvdy.24068openalex-snapshot
Mathematical modelling of digit specification by a sonic hedgehog gradient
inferred← citeshttps://doi.org/10.1006/bulm.1999.0152openalex-snapshot
Mathematical Modelling of Juxtacrine Patterning
inferred← citeshttps://doi.org/10.1006/jtbi.2000.2246openalex-snapshot
Spatial Heterogeneity and Critical Patch Size: Area Effects via Diffusion in Closed Environments
inferred← citeshttps://doi.org/10.1006/tpbi.1998.1397openalex-snapshot
Diffusion Models for Population Dynamics Incorporating Individual Behavior at Boundaries: Applications to Refuge Design
inferred← citeshttps://doi.org/10.1007/0-387-24091-8_1openalex-snapshot
Ecosystem Function in Heterogeneous Landscapes
inferred← citeshttps://doi.org/10.1007/0-387-24091-8_6openalex-snapshot
Population Ecology in Spatially Heterogeneous Environments
inferred← citeshttps://doi.org/10.1007/11561606_3openalex-snapshot
Mathematical Modelling of Proteolysis and Cancer Cell Invasion of Tissue
inferred← citeshttps://doi.org/10.1007/978-1-4471-5526-3_7openalex-snapshot
The Gierer-Meinhardt System with Inhomogeneous Coefficients
inferred← citeshttps://doi.org/10.1007/978-1-4613-0133-2_3openalex-snapshot
Mathematical Modeling of Vertebrate Limb Development
inferred← citeshttps://doi.org/10.1007/978-1-4615-2433-5_21openalex-snapshot
Steady-State Patterns in a Reaction Diffusion System with Mixed Boundary Conditions
inferred← citeshttps://doi.org/10.1007/978-1-4615-2433-5_4openalex-snapshot
Pattern Formation in Heterogeneous Domains
inferred← citeshttps://doi.org/10.1007/978-3-319-17037-4_8openalex-snapshot
Turing and Non-Turing Patterns in Two-Dimensional Prey-Predator Models
inferred← citeshttps://doi.org/10.1007/bf00160165openalex-snapshot
Pattern formation in generalized Turing systems
inferred← citeshttps://doi.org/10.1007/bf00169566openalex-snapshot
Turing bifurcations with a temporally varying diffusion coefficient
inferred← citeshttps://doi.org/10.1007/bfb0092377openalex-snapshot
Mathematical models in morphogenesis
inferred← citeshttps://doi.org/10.1007/s002850050080openalex-snapshot
Parameter domains for instability of uniform states in systems with many delays
inferred← citeshttps://doi.org/10.1007/s002850050135openalex-snapshot
Unravelling the Turing bifurcation using spatially varying diffusion coefficients
inferred← citeshttps://doi.org/10.1007/s00332-008-9036-8openalex-snapshot
Spikes for the Gierer–Meinhardt System with Discontinuous Diffusion Coefficients
inferred← citeshttps://doi.org/10.1007/s10492-010-0009-5openalex-snapshot
Modeling the role of constant and time varying recycling delay on an ecological food chain
inferred← citeshttps://doi.org/10.1007/s10867-011-9222-zopenalex-snapshot
On a population pathogen model incorporating species dispersal with temporal variation in dispersal rate
inferred← citeshttps://doi.org/10.1007/s10867-017-9450-yopenalex-snapshot
The interplay between phenotypic and ontogenetic plasticities can be assessed using reaction-diffusion models
inferred← citeshttps://doi.org/10.1007/s10884-018-9694-7openalex-snapshot
Pinned Solutions in a Heterogeneous Three-Component FitzHugh–Nagumo Model
inferred← citeshttps://doi.org/10.1007/s10910-020-01154-xopenalex-snapshot
Discretization, bifurcation analysis and chaos control for Schnakenberg model
inferred← citeshttps://doi.org/10.1007/s10980-010-9493-yopenalex-snapshot
Landscape connectivity and predator–prey population dynamics
inferred← citeshttps://doi.org/10.1007/s11071-021-06314-5openalex-snapshot
Mathematical modeling and mechanisms of pattern formation in ecological systems: a review
inferred← citeshttps://doi.org/10.1007/s11538-005-9007-2openalex-snapshot
Modeling the Role of Diffusion Coefficients on Turing Instability in a Reaction-diffusion Prey-predator System
inferred← citeshttps://doi.org/10.1007/s11538-006-9060-5openalex-snapshot
Interactions Between Pattern Formation and Domain Growth
inferred← citeshttps://doi.org/10.1007/s11538-020-00786-zopenalex-snapshot
A Non-local Cross-Diffusion Model of Population Dynamics I: Emergent Spatial and Spatiotemporal Patterns
inferred← citeshttps://doi.org/10.1007/s11538-021-00913-4openalex-snapshot
Isolating Patterns in Open Reaction–Diffusion Systems
inferred← citeshttps://doi.org/10.1007/s11538-026-01669-5openalex-snapshot
Delayed Pattern Formation in Two-Dimensional Domains
inferred← citeshttps://doi.org/10.1007/s13160-025-00720-7openalex-snapshot
New challenges in spatial ecology
inferred← citeshttps://doi.org/10.1016/0025-5564(94)00041-wopenalex-snapshot
Models for the effects of individual size and spatial scale on competition between species in heterogeneous environments
inferred← citeshttps://doi.org/10.1016/0167-2789(94)90072-8openalex-snapshot
Irregular wakes in reaction-diffusion waves
inferred← citeshttps://doi.org/10.1016/0895-7177(93)90025-topenalex-snapshot
Analysis of pattern formation in reaction diffusion models with spatially inhomogenous diffusion coefficients
inferred← citeshttps://doi.org/10.1016/j.chaos.2021.111730openalex-snapshot
Stability analysis for Schnakenberg reaction-diffusion model with gene expression time delay
inferred← citeshttps://doi.org/10.1016/j.cnsns.2024.107836openalex-snapshot
Turing–Turing bifurcation in an activator–inhibitor system with gene expression time delay
inferred← citeshttps://doi.org/10.1016/j.ecocom.2015.10.001openalex-snapshot
Diffusion-driven instabilities and emerging spatial patterns in patchy landscapes
inferred← citeshttps://doi.org/10.1016/j.jde.2024.05.004openalex-snapshot
Pattern formations in nonlinear reaction-diffusion systems with strong localized impurities
inferred← citeshttps://doi.org/10.1016/j.mbs.2012.11.003openalex-snapshot
Mathematical modeling of vertebrate limb development
inferred← citeshttps://doi.org/10.1016/j.mcm.2009.07.015openalex-snapshot
Self-replication of spatial patterns in a ratio-dependent predator–prey model
inferred← citeshttps://doi.org/10.1016/j.mcm.2009.08.001openalex-snapshot
Macroscopic models for fibroproliferative disorders: A review
inferred← citeshttps://doi.org/10.1016/j.pbiomolbio.2004.03.001openalex-snapshot
Reaction–diffusion models of development with state-dependent chemical diffusion coefficients
inferred← citeshttps://doi.org/10.1016/j.physd.2019.132247openalex-snapshot
Spike density distribution for the Gierer–Meinhardt model with precursor
inferred← citeshttps://doi.org/10.1016/j.rinp.2018.03.017openalex-snapshot
Semi-analytical solutions of the Schnakenberg model of a reaction-diffusion cell with feedback
inferred← citeshttps://doi.org/10.1016/j.rinp.2019.102858openalex-snapshot
A semi-analytical approach for the reversible Schnakenberg reaction-diffusion system
inferred← citeshttps://doi.org/10.1016/s0167-2789(02)00493-1openalex-snapshot
A new dimension to Turing patterns
inferred← citeshttps://doi.org/10.1016/s0167-2789(02)00495-5openalex-snapshot
Size-dependent symmetry breaking in models for morphogenesis
inferred← citeshttps://doi.org/10.1016/s0167-2789(03)00068-xopenalex-snapshot
Pattern formation in spatially heterogeneous Turing reaction–diffusion models
inferred← citeshttps://doi.org/10.1016/s0167-2789(96)00132-7openalex-snapshot
Turing pattern formation in heterogenous media
inferred← citeshttps://doi.org/10.1016/s0378-4371(01)00051-6openalex-snapshot
Self-organized spatial structures in a ratio-dependent predator–prey model
inferred← citeshttps://doi.org/10.1016/s0893-9659(96)00101-2openalex-snapshot
Boundary-driven instability
inferred← citeshttps://doi.org/10.1016/s0895-7177(97)00237-9openalex-snapshot
A population model with time-dependent delay
inferred← citeshttps://doi.org/10.1016/s0895-7177(99)00039-4openalex-snapshot
Diffusion driven instability in an inhomogeneous circular domain
inferred← citeshttps://doi.org/10.1016/s0898-1221(96)00198-8openalex-snapshot
Spatial and spatiotemporal pattern formation in generalised turing systems
inferred← citeshttps://doi.org/10.1017/s0956792500001893openalex-snapshot
Diffusion-driven instability in oscillating environments
inferred← citeshttps://doi.org/10.1017/s0956792520000431openalex-snapshot
Spikes and localised patterns for a novel Schnakenberg model in the semi-strong interaction regime
inferred← citeshttps://doi.org/10.1017/s0956792525100132openalex-snapshot
A geometric approach to pinned pulses in a class of non-autonomous reaction–diffusion equations
inferred← citeshttps://doi.org/10.1021/jp037029kopenalex-snapshot
Turing Instability in Inhomogeneous Arrays of Diffusively Coupled Reactors
inferred← citeshttps://doi.org/10.1023/a:1019159427561openalex-snapshot
On the origin of Turing instability
inferred← citeshttps://doi.org/10.1063/1.4961248openalex-snapshot
Prey-predator model with a nonlocal consumption of prey
inferred← citeshttps://doi.org/10.1063/1.5128510openalex-snapshot
Turing instability conditions in confined systems with an effective position-dependent diffusion coefficient
inferred← citeshttps://doi.org/10.1073/pnas.2206888119openalex-snapshot
Bridging scales in a multiscale pattern-forming system
inferred← citeshttps://doi.org/10.1080/026811199282083openalex-snapshot
Linear stability criteria in a reaction-diffusion equation with spatially inhomogeneous delay
inferred← citeshttps://doi.org/10.1080/10273660290015233openalex-snapshot
Breast Cancer: Modelling and Detection
inferred← citeshttps://doi.org/10.1080/10407790.2015.1021575openalex-snapshot
Direct Numerical Simulation of Air Heated Cylinder Wake in Transitional State, Part III: TemperatureT* in Turbulence Anisotropy (TA), Turbulence ofT*, Discontinuity and Dislocation B, and Their Causes inT* with Laminar PSD Gradient, PSD Oscillation, and Strongly Active Scalar
inferred← citeshttps://doi.org/10.1088/1361-6544/aa60b2openalex-snapshot
Moving and jumping spot in a two-dimensional reaction–diffusion model
inferred← citeshttps://doi.org/10.1088/1361-6544/ac0d46openalex-snapshot
Complex oscillatory motion of multiple spikes in a three-component Schnakenberg system
inferred← citeshttps://doi.org/10.1093/imamat/55.1.19openalex-snapshot
Phase differences in reaction-diffusion-advection systems and applications to morphogenesis
inferred← citeshttps://doi.org/10.1093/imammb/9.3.197openalex-snapshot
Pattern formation in reaction-diffusion models with spatially inhomogeneous diffusion coefficients
inferred← citeshttps://doi.org/10.1093/imammb/dqp021openalex-snapshot
A model of cell migration within the extracellular matrix based on a phenotypic switching mechanism
inferred← citeshttps://doi.org/10.1093/imammb/dqq024openalex-snapshot
Spatial pattern formation in ratio-dependent model: higher-order stability analysis
inferred← citeshttps://doi.org/10.1093/imammb/dqx019openalex-snapshot
Aggregation and travelling wave dynamics in a two-population model of cancer cell growth and invasion
inferred← citeshttps://doi.org/10.1098/rsif.2019.0621openalex-snapshot
From one pattern into another: analysis of Turing patterns in heterogeneous domains via WKBJ
inferred← citeshttps://doi.org/10.1098/rsta.2017.0183openalex-snapshot
Pulse dynamics in reaction–diffusion equations with strong spatially localized impurities
inferred← citeshttps://doi.org/10.1098/rsta.2017.0191openalex-snapshot
Wavenumber selection via spatial parameter jump
inferred← citeshttps://doi.org/10.1098/rsta.2020.0268openalex-snapshot
Modern perspectives on near-equilibrium analysis of Turing systems
inferred← citeshttps://doi.org/10.1098/rsta.2021.0001openalex-snapshot
Pattern formation from spatially heterogeneous reaction–diffusion systems
inferred← citeshttps://doi.org/10.1103/physreve.100.042220openalex-snapshot
Pattern formation in reaction-diffusion systems with piecewise kinetic modulation: An example study of heterogeneous kinetics
inferred← citeshttps://doi.org/10.1103/physreve.69.026211openalex-snapshot
Symmetric, asymmetric, and antiphase Turing patterns in a model system with two identical coupled layers
inferred← citeshttps://doi.org/10.1103/physreve.97.052206openalex-snapshot
Heterogeneity induces spatiotemporal oscillations in reaction-diffusion systems
inferred← citeshttps://doi.org/10.1103/vzsr-qztgopenalex-snapshot
Landscape description of the dynamics of Turing patterns
inferred← citeshttps://doi.org/10.1111/j.1365-2419.1993.tb00137.xopenalex-snapshot
Generation of a phytoplankton maximum in a grazing‐extended logistic model
inferred← citeshttps://doi.org/10.1111/j.1467-9590.2012.00565.xopenalex-snapshot
Upper‐Semicontinuity of Global Attractors for Reversible Schnackenberg Equations
inferred← citeshttps://doi.org/10.1137/120902264openalex-snapshot
Mathematical Modeling of Plant Root Hair Initiation: Dynamics of Localized Patches
inferred← citeshttps://doi.org/10.1137/15m1026742openalex-snapshot
A Geometric Approach to Stationary Defect Solutions in One Space Dimension
inferred← citeshttps://doi.org/10.1137/17m1116027openalex-snapshot
Pattern Formation in a Reaction-Diffusion System with Space-Dependent Feed Rate
inferred← citeshttps://doi.org/10.1137/22m1509850openalex-snapshot
Spatial Dynamics with Heterogeneity
inferred← citeshttps://doi.org/10.1137/24m1695245openalex-snapshot
Pattern Localization in the Swift–Hohenberg Equation via Slowly Varying Spatial Heterogeneity
inferred← citeshttps://doi.org/10.1142/s0217984925500952openalex-snapshot
A strong technique for solving the fractional model of multi-dimensional Schnakenberg reaction-diffusion system
inferred← citeshttps://doi.org/10.1142/s0218127415501175openalex-snapshot
Numerical Study of Periodic Traveling Wave Solutions for the Predator–Prey Model with Landscape Features
inferred← citeshttps://doi.org/10.1142/s0218127416500334openalex-snapshot
Pattern Formation in Keller–Segel Chemotaxis Models with Logistic Growth
inferred← citeshttps://doi.org/10.1142/s0218127418300045openalex-snapshot
Spatiotemporal Patterns in a Predator–Prey Model with Cross-Diffusion Effect
inferred← citeshttps://doi.org/10.1186/s13661-024-01979-4openalex-snapshot
Novel computations of the time-fractional chemical Schnakenberg mathematical model via non-singular kernel operators
inferred← citeshttps://doi.org/10.12941/jksiam.2012.16.4.249openalex-snapshot
PATTERN FORMATION FOR A RATIO-DEPENDENT PREDATOR-PREY MODEL WITH CROSS DIFFUSION
inferred← citeshttps://doi.org/10.1371/journal.pbio.1001028openalex-snapshot
Cryptic Patterning of Avian Skin Confers a Developmental Facility for Loss of Neck Feathering
inferred← citeshttps://doi.org/10.1890/0012-9658(2002)083[0028:mibpcg]2.0.co;2openalex-snapshot
MUTUAL INTERFERENCE BETWEEN PREDATORS CAN GIVE RISE TO TURING SPATIAL PATTERNS
inferred← citeshttps://doi.org/10.20381/ruor-26501openalex-snapshot
Population Dynamics In Patchy Landscapes: Steady States and Pattern Formation
inferred← citeshttps://doi.org/10.20944/preprints202007.0249.v1openalex-snapshot
Investigation of Clustering in Turing Patterns to Describe the Spatial Relations of Slums
inferred← citeshttps://doi.org/10.20944/preprints202007.0249.v3openalex-snapshot
Revisiting the Mechanism Behind the Similar Size of Slums
inferred← citeshttps://doi.org/10.24275/uami.9g54xh98gopenalex-snapshot
Simulación de sistemas reacción-transporte mediante formulaciones de ecuaciones integrales
inferred← citeshttps://doi.org/10.33899/csmj.2010.163882openalex-snapshot
Stability Analysis of Reaction-Diffusion Equations with Double Diffusivity System
inferred← citeshttps://doi.org/10.3390/sym11020208openalex-snapshot
Nonclassical Symmetry Solutions for Non-Autonomous Reaction-Diffusion Equations
inferred← citeshttps://doi.org/10.3934/cpaa.2011.10.1415openalex-snapshot
Asymptotic dynamics of reversible cubic autocatalytic reaction-diffusion systems
inferred← citeshttps://doi.org/10.3934/dcdsb.2023053openalex-snapshot
Spatial heterogeneity localizes Turing patterns in reaction-cross-diffusion systems
inferred← citeshttps://doi.org/10.3934/dcdss.2014.7.1347openalex-snapshot
Random attractor for stochastic reversible Schnackenberg equations
inferred← citeshttps://doi.org/10.3934/math.20261111openalex-snapshot
Stability transitions induced by cross-transport mechanisms in a coupled reaction-advection-diffusion system
inferred← citeshttps://doi.org/10.3934/mbe.2014.11.1247openalex-snapshot
Spatiotemporal complexity in a predator--prey model with weak Allee effects
inferred← citeshttps://doi.org/10.3934/mbe.2022116openalex-snapshot
The effect of landscape fragmentation on Turing-pattern formation
inferred← citeshttps://doi.org/10.4208/csiam-ls.so-2025-0009openalex-snapshot
Mathematical Analysis of a Predator-Prey System with Adaptive Prey Motion
inferred← citeshttps://doi.org/10.5204/thesis.eprints.201835openalex-snapshot
Localised structures in some non-standard, singularly perturbed partial differential equations
Editorial review for independent work. ICSAC — the Institute for Complexity Science and Advanced Computing — runs a structured editorial panel for researchers publishing outside journals, and publishes on CiteStamp rails. Submission is free and goes through ORCID: icsacinstitute.org/submit.