A non-local cross-diffusion model of population dynamics I: emergent spatial and spatiotemporal patterns
From MaRDI portal
Publication:2202049
DOI10.1007/s11538-020-00786-zzbMath1448.92253OpenAlexW3048439542WikidataQ98383460 ScholiaQ98383460MaRDI QIDQ2202049
Hyunyeon Kim, Andrew L. Krause, Nick P. Taylor, Robert A. van Gorder
Publication date: 17 September 2020
Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://ora.ox.ac.uk/objects/uuid:8845a2db-c699-4b9f-8d6e-a6eaaeb23eb5
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Ecology (92D40)
Related Items (4)
Hopf-Bifurcation and Pattern Selections in a Three Trophic Level Food Web System ⋮ Modeling of invasion on a heterogeneous habitat: taxis and multistability ⋮ Isolating patterns in open reaction-diffusion systems ⋮ Extinction of bistable populations is affected by the shape of their initial spatial distribution
Cites Work
- Unnamed Item
- A fitness-driven cross-diffusion system from population dynamics as a gradient flow
- Two-dimensional individual clustering model
- Well-posedness for a model of individual clustering
- Turing pattern formation in a three species model with generalist predator and cross-diffusion
- Modeling spatial adaptation of populations by a time non-local convection cross-diffusion evolution problem
- Pattern formation in a cross-diffusion system
- Differential flow induced transition of Hopf instability to Turing instability and pattern formation
- The limitation of species range: a consequence of searching along resource gradients
- Turing pattern formation in a predator-prey-mutualist system
- Complex patterns in a predator-prey model with self and cross-diffusion
- Models of individual aggregation or clustering in single and multi- species communities
- Pattern formation in competition-diffusion systems in nonconvex domains
- Evolution of conditional dispersal: a reaction-diffusion-advection model
- A user's guide to PDE models for chemotaxis
- The evolution of conditional dispersal strategies in spatially heterogeneous habitats
- Stable spatio-temporal oscillations of diffusive Lotka-Volterra system with three or more species
- On interacting populations that disperse to avoid crowding: preservation of segregation
- The spatial homogeneity of stable equilibria of some reaction-diffusion systems on convex domains
- The diffusive Lotka-Volterra system with three species can have a stable non-constant equilibrium solution
- Diffusion driven instability in an inhomogeneous domain
- On the diffusion of biological populations
- A cross-diffusion model of forest boundary dynamics
- Pattern formation in generalized Turing systems. I: Steady-state patterns in systems with mixed boundary conditions
- Stationary patterns created by cross-diffusion for the competitor-competitor-mutualist model
- Mathematical biology. Vol. 2: Spatial models and biomedical applications.
- Two-species migration and clustering in two-dimensional domains
- How do dispersal rates affect the transition from periodic to irregular spatio-temporal oscillations in invasive predator-prey systems?
- Complex pattern formation in reaction-diffusion systems with spatially varying parameters
- Models for the effects of individual size and spatial scale on competition between species in heterogeneous environments
- Pattern formation in spatially heterogeneous Turing reaction-diffusion models
- Diffusion, self-diffusion and cross-diffusion
- Dispersal, individual movement and spatial ecology. A mathematical perspective
- Pattern formation driven by cross-diffusion in a 2D domain
- Random dispersal versus fitness-dependent dispersal
- Phyllotactic order induced by symmetry breaking in advected Turing patterns.
- Spatial memory and taxis-driven pattern formation in model ecosystems
- Spatiotemporal complexity of patchy invasion in a predator-prey system with the Allee effect.
- Instabilities in spatially extended predator-prey systems: spatio-temporal patterns in the neighborhood of Turing-Hopf bifurcations
- Non local Lotka-Volterra system with cross-diffusion in an heterogeneous medium
- Mix and match: phenotypic coexistence as a key facilitator of cancer invasion
- Turing instability for a competitor-competitor-mutualist model with nonlinear cross-diffusion effects
- Stationary patterns of the Holling-Tanner prey-predator model with diffusion and cross-diffu\-sion
- Pattern solutions of the Klausmeier model for banded vegetation in semi-arid environments II: patterns with the largest possible propagation speeds
- Spatiotemporal Patterns Induced by Cross-Diffusion in a Three-Species Food Chain Model
- Reaction-Diffusion Model as a Framework for Understanding Biological Pattern Formation
- CROSS-DIFFUSION DRIVEN INSTABILITY FOR A LOTKA-VOLTERRA COMPETITIVE REACTION–DIFFUSION SYSTEM
- Sobolev regularization of a nonlinear ill-posed parabolic problem as a model for aggregating populations
- The chemical basis of morphogenesis
- Effect of aggregation on population recovery modeled by a forward-backward pseudoparabolic equation
- Integrodifference Equations in Spatial Ecology
- Nonlinear Cross-Diffusion with Size Exclusion
- Pattern formation in prey-taxis systems
- Turing instabilities in general systems
This page was built for publication: A non-local cross-diffusion model of population dynamics I: emergent spatial and spatiotemporal patterns
