Modeling spatial adaptation of populations by a time non-local convection cross-diffusion evolution problem
From MaRDI portal
Publication:427031
DOI10.1016/j.amc.2011.10.041zbMath1244.92054OpenAlexW2067040311WikidataQ115463170 ScholiaQ115463170MaRDI QIDQ427031
Publication date: 13 June 2012
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2011.10.041
Probabilistic models, generic numerical methods in probability and statistics (65C20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Ecology (92D40)
Related Items
On a cross-diffusion population model deduced from mutation and splitting of a single species ⋮ A non-local cross-diffusion model of population dynamics I: emergent spatial and spatiotemporal patterns ⋮ Turing instability and traveling fronts for a nonlinear reaction-diffusion system with cross-diffusion ⋮ On a singular perturbation problem arising in the theory of evolutionary distributions ⋮ Analysis of a splitting-differentiation population model leading to cross-diffusion
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Evolution of conditional dispersal: a reaction-diffusion-advection model
- A velocity-diffusion method for a Lotka-Volterra system with nonlinear cross and self-diffusion
- 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
- Does movement toward better environments always benefit a population?
- Finite element approximation of a nonlinear cross-diffusion population model
- Smooth solutions to a quasi-linear system of diffusion equations for a certain population model
- Analysis of a Parabolic Cross-Diffusion Semiconductor Model with Electron-Hole Scattering
- 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
