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...

書目詳細資料
Main Authors:	Taylor, NP, Kim, H, Krause, AL, Van Gorder, RA
格式:	Journal article
語言:	English
出版:	Springer 2020

相似書籍

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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