Competing through altering the environment: a cross-diffusion population model coupled to transport-Darcy flow equations
From MaRDI portal
Publication:635246
DOI10.1016/j.nonrwa.2011.04.009zbMath1219.35327OpenAlexW2080858137MaRDI QIDQ635246
Gonzalo Galiano, Julián Velasco
Publication date: 19 August 2011
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2011.04.009
existence of solutionspopulation dynamicscross-diffusionmixed formulationDarcy flowecology of mangrove
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items
Modeling boyciana-fish-human interaction with partial differential algebraic equations ⋮ On a cross-diffusion population model deduced from mutation and splitting of a single species ⋮ Turing instability and pattern formation for the Lengyel-Epstein system with nonlinear diffusion ⋮ Turing instability and traveling fronts for a nonlinear reaction-diffusion system with cross-diffusion ⋮ Finite element approximation of a surface-subsurface coupled problem arising in forest dynamics ⋮ On a singular perturbation problem arising in the theory of evolutionary distributions ⋮ Analysis of a splitting-differentiation population model leading to cross-diffusion ⋮ Primal-mixed formulations for reaction-diffusion systems on deforming domains ⋮ On a cross-diffusion segregation problem arising from a model of interacting particles ⋮ Turing patterns in a predator-prey system with self-diffusion ⋮ Deterministic particle method approximation of a contact inhibition cross-diffusion problem
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stability and bifurcation in two species predator-prey models
- Chaos and Hopf bifurcation analysis for a two species predator-prey system with prey refuge and diffusion
- A unified mixed formulation naturally coupling Stokes and Darcy flows
- A dynamic boundary value problem arising in the ecology of mangroves
- Evolution of conditional dispersal: a reaction-diffusion-advection model
- A velocity-diffusion method for a Lotka-Volterra system with nonlinear cross and self-diffusion
- Existence of solutions and stability analysis for a Darcy flow with extraction
- The evolution of conditional dispersal strategies in spatially heterogeneous habitats
- An initial-boundary-value problem for a certain density-dependent diffusion system
- Spatial segregation in competitive interaction-diffusion equations
- Diffusion, self-diffusion and cross-diffusion
- Semi-discretization in time and numerical convergence of solutions of a nonlinear cross-diffusion population model
- A stabilized mixed finite element method for Darcy flow
- Does movement toward better environments always benefit a population?
- Finite element approximation of a nonlinear cross-diffusion population model
- On the well-posed coupling between free fluid and porous viscous flows
- Smooth solutions to a quasi-linear system of diffusion equations for a certain population model
- Mixed and Hybrid Finite Element Methods
- Global Behaviour of a Reaction-Diffusion System Modelling Chemotaxis
- Global solution to some quasilinear parabolic system in population dynamics
- A Parabolic Cross-Diffusion System for Granular Materials
- Analysis of a Multidimensional Parabolic Population Model with Strong Cross-Diffusion
- Numerical simulation of chemotactic bacteria aggregation via mixed finite elements
- A diffusion-convection problem with drainage arising in the ecology of mangroves
