A non-local cross-diffusion model of population dynamics I: Emergent spatial and spatiotemporal patterns

A non-local cross-diffusion model of population dynamics I: Emergent spatial and spatiotemporal patterns

We extend a spatially non-local cross-diffusion model of aggregation between multiple species with directed motion toward resource gradients to include many species and more general kinds of dispersal. We first consider diffusive instabilities, determining that for directed motion along fecundity gr...

Bibliografiset tiedot
Päätekijät:	Taylor, NP, Kim, H, Krause, AL, Van Gorder, RA
Aineistotyyppi:	Journal article
Kieli:	English
Julkaistu:	Springer 2020

Samankaltaisia teoksia

A non-local cross-diffusion model of population dynamics II: Exact, approximate, and numerical traveling waves in single- and multi-species populations
Tekijä: Krause, AL, et al.
Julkaistu: (2020)

Diffusive instabilities and spatial patterning from the coupling of reaction-diffusion processes with Stokes flow in complex domains
Tekijä: Van Gorder, R, et al.
Julkaistu: (2019)

Emergent structures in reaction-advection-diffusion systems on a sphere
Tekijä: Krause, AL, et al.
Julkaistu: (2018)

Spatial heterogeneity localizes Turing patterns in reaction-cross-diffusion systems
Tekijä: Gaffney, E, et al.
Julkaistu: (2023)

Turing conditions for pattern forming systems on evolving manifolds
Tekijä: Van Gorder, RA, et al.
Julkaistu: (2021)

Spatiotemporal pattern induced by self and cross-diffusion in a spatial Holling-Tanner model
Tekijä: Ranjit Kumar Upadhyay, et al.
Julkaistu: (2012-03-01)

Spatiotemporal patterns induced by cross-diffusion on vegetation model
Tekijä: Shuo Xu, et al.
Julkaistu: (2022-05-01)

Hybrid approach to modeling spatial dynamics of systems with generalist predators
Tekijä: Fussell, E, et al.
Julkaistu: (2018)

Spatiotemporal Pattern in a Self- and Cross-Diffusive Predation Model with the Allee Effect
Tekijä: Feng Rao
Julkaistu: (2013-01-01)

Emergent Spatial–Temporal Patterns in a Ring of Locally Coupled Population Oscillators
Tekijä: Alexey V. Rusakov, et al.
Julkaistu: (2023-12-01)

Continuous dispersal in a model of predator-prey-subsidy population dynamics
Tekijä: Bassett, A, et al.
Julkaistu: (2017)

Pattern Formation Mechanisms of Spatiotemporally Discrete Activator–Inhibitor Model with Self- and Cross-Diffusions
Tekijä: You Li, et al.
Julkaistu: (2024-12-01)

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

Influence of curvature, growth, and anisotropy on the evolution of Turing patterns on growing manifolds
Tekijä: Krause, A, et al.
Julkaistu: (2018)

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

Conflict or Coordination? Spatiotemporal Coupling of Urban Population–Land Spatial Patterns and Ecological Efficiency
Tekijä: Ling Shan, et al.
Julkaistu: (2022-05-01)

Bifurcations and dynamics emergent from lattice and continuum models of bioactive porous media
Tekijä: Krause, A, et al.
Julkaistu: (2018)

Unstaggered-staggered solitons on one- and two-dimensional two-component discrete nonlinear Schrödinger lattices
Tekijä: Van Gorder, RA, et al.
Julkaistu: (2020)

Locating the baking isotherm in a Søderberg electrode: analysis of a moving thermistor model
Tekijä: Van Gorder, RA, et al.
Julkaistu: (2021)

On the Spatiotemporal Pattern Formation in Nonlinear Coupled Reaction–Diffusion Systems
Tekijä: Satyvir Singh, et al.
Julkaistu: (2023-10-01)

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

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

Emergence of task-related spatiotemporal population dynamics in transplanted neurons
Tekijä: Harman Ghuman, et al.
Julkaistu: (2023-11-01)

Spatiotemporal Dynamic of COVID-19 Diffusion in China: A Dynamic Spatial Autoregressive Model Analysis
Tekijä: Hanchen Yu, et al.
Julkaistu: (2021-07-01)

Emerging Spatiotemporal Patterns from Discrete Migration Dynamics of Heterogeneous Agents
Tekijä: J. K. Shin, et al.
Julkaistu: (2010-01-01)

Fractional diffusion equation for an n-dimensional correlated Levy walk
Tekijä: Taylor-King, J, et al.
Julkaistu: (2016)

Dynamics of Mosquito Population Models with Spatial Diffusion
Tekijä: Urbain Traoré
Julkaistu: (2021-01-01)

Dissecting Spatiotemporal Structures in Spatial Transcriptomics via Diffusion-Based Adversarial Learning
Tekijä: Haiyun Wang, et al.
Julkaistu: (2024-01-01)

Dynamics of a planar vortex filament under the quantum local induction approximation
Tekijä: Van Gorder, R
Julkaistu: (2014)

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

Non-local dynamics governing the self-induced motion of a planar vortex filament
Tekijä: Van Gorder, R
Julkaistu: (2015)

Spatiotemporal Patterns in a Ratio-Dependent Food Chain Model with Reaction-Diffusion
Tekijä: Lei Zhang
Julkaistu: (2014-01-01)

Spatiotemporal patterns of a delayed diffusive prey-predator model with prey-taxis
Tekijä: Fengrong Zhang, et al.
Julkaistu: (2024-07-01)

Spatiotemporal Propagation of the Cortical Atrophy: Population and Individual Patterns
Tekijä: Igor Koval, et al.
Julkaistu: (2018-05-01)

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

The spatial dynamics of a zebrafish model with cross-diffusions
Tekijä: Hongyong Zhao, et al.
Julkaistu: (2017-07-01)

Turing Instability and Spatiotemporal Pattern Formation Induced by Nonlinear Reaction Cross-Diffusion in a Predator–Prey System with Allee Effect
Tekijä: Yangyang Shao, et al.
Julkaistu: (2022-05-01)

Pattern formation in reaction diffusion models with spatially inhomogeneous diffusion coefficients
Tekijä: Maini, P, et al.
Julkaistu: (1992)

PATTERN-FORMATION IN REACTION DIFFUSION-MODELS WITH SPATIALLY INHOMOGENEOUS DIFFUSION-COEFFICIENTS
Tekijä: Maini, P, et al.
Julkaistu: (1992)

Field Model-Based Cultural Diffusion Patterns and GIS Spatial Analysis Study on the Spatial Diffusion Patterns of Qijia Culture in China
Tekijä: Yuanyuan Wang, et al.
Julkaistu: (2022-03-01)