Concentration phenomena in an integro-PDE model for evolution of conditional dispersal
From MaRDI portal
Publication:5237502
DOI10.1512/iumj.2019.68.7625zbMath1429.35126OpenAlexW2954459915WikidataQ127558580 ScholiaQ127558580MaRDI QIDQ5237502
Yuan Lou, Wenrui Hao, King-Yeung Lam
Publication date: 18 October 2019
Published in: Indiana University Mathematics Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1512/iumj.2019.68.7625
Problems related to evolution (92D15) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25)
Related Items (4)
A Hamilton-Jacobi approach to evolution of dispersal ⋮ Selected Topics on Reaction-Diffusion-Advection Models from Spatial Ecology ⋮ An adaptive homotopy method for computing bifurcations of nonlinear parametric systems ⋮ Ideal Free Dispersal under General Spatial Heterogeneity and Time Periodicity
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Population dynamics under selection and mutation: long-time behavior for differential equations in measure spaces
- Evolutionary convergence to ideal free dispersal strategies and coexistence
- Dynamics of a reaction-diffusion-advection model for two competing species
- Evolutionarily stable and convergent stable strategies in reaction-diffusion models for conditional dispersal
- Evolution of dispersal in open advective environments
- An integro-PDE model for evolution of random dispersal
- Can spatial variation alone lead to selection for dispersal?
- Concentration phenomena of a semilinear elliptic equation with large advection in an ecological model
- Invasion fronts with variable motility: phenotype selection, spatial sorting and wave acceleration
- Dispersal strategies in patchy environments
- Movement toward better environments and the evolution of rapid diffusion
- A Hamilton-Jacobi approach for a model of population structured by space and trait
- Asymptotic analysis of a selection model with space
- Evolution of conditional dispersal: a reaction-diffusion-advection model
- On selection dynamics for continuous structured populations
- Evolution of dispersal and the ideal free distribution
- Limiting profiles of semilinear elliptic equations with large advection in population dynamics
- The evolution of conditional dispersal strategies in spatially heterogeneous habitats
- The evolution of slow dispersal rates: a reaction diffusion model
- Intermediate Schauder estimates
- Kin selection and strong evolutionary stability of mutual help
- Mutation, selection, and recombination in a model of phenotype evolution
- Elliptic partial differential equations of second order
- The evolution of dispersal rates in a heterogeneous time-periodic environment
- Diffusion, self-diffusion and cross-diffusion
- Does movement toward better environments always benefit a population?
- Small mutation rate and evolutionarily stable strategies in infinite dimensional adaptive dynam\-ics
- The dynamical theory of coevolution: A derivation from stochastic ecological processes
- Evolution of conditional dispersal: evolutionarily stable strategies in spatial models
- Stability of Dirac concentrations in an integro-PDE model for evolution of dispersal
- Super-linear spreading in local and non-local cane toads equations
- The dynamics of adaptation: An illuminating example and a Hamilton--Jacobi approach
- Limiting Profiles of Semilinear Elliptic Equations with Large Advection in Population Dynamics II
- Travelling waves for the cane toads equation with bounded traits
- On several conjectures from evolution of dispersal
- Evolutionary stability of ideal free nonlocal dispersal
- Evolution of dispersal in closed advective environments
- Principal eigenvalue and eigenfunctions of an elliptic operator with large advection and its application to a competition model
- Dirac concentrations in Lotka-Volterra parabolic PDEs
- Spatial Ecology via Reaction‐Diffusion Equations
- Harmonic functions in a cylinder with normal derivatives vanishing on the boundary
- Rare Mutations Limit of a Steady State Dispersal Evolution Model
- Effects of diffusion and advection on the smallest eigenvalue of an elliptic operator and their applications
- On a model of a population with variable motility
- Advection-mediated coexistence of competing species
- On the Evolution of Dispersal in Patchy Landscapes
- Travelling Waves in a Nonlocal Reaction-Diffusion Equation as a Model for a Population Structured by a Space Variable and a Phenotypic Trait
This page was built for publication: Concentration phenomena in an integro-PDE model for evolution of conditional dispersal
