Reaction-diffusion-advection models for the effects and evolution of dispersal

Research output: Contribution to journalArticle

36 Citations (Scopus)

Abstract

This review describes reaction-advection-diffusion models for the ecological effects and evolution of dispersal, and mathematical methods for analyzing those models. The topics covered include models for a single species, models for ecological interactions between species, and models for the evolution of dispersal strategies. The models are all set on bounded domains. The mathematical methods include spectral theory, specifically the theory of principal eigenvalues for elliptic operators, maximum principles and comparison theorems, bifurcation theory, and persistence theory.

Original languageEnglish (US)
Pages (from-to)1701-1745
Number of pages45
JournalDiscrete and Continuous Dynamical Systems- Series A
Volume34
Issue number5
DOIs
StatePublished - May 2014

Fingerprint

Advection
Reaction-diffusion
Principal Eigenvalue
Advection-diffusion
Model
Bifurcation Theory
Spectral Theory
Comparison Theorem
Diffusion Model
Maximum Principle
Maximum principle
Elliptic Operator
Persistence
Bounded Domain
Interaction

Keywords

  • Bifurcation
  • Dispersal
  • Ecology
  • Evolution
  • Persistence theory
  • Population dynamics
  • Reaction-diffusion

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics
  • Analysis

Cite this

Reaction-diffusion-advection models for the effects and evolution of dispersal. / Cosner, George.

In: Discrete and Continuous Dynamical Systems- Series A, Vol. 34, No. 5, 05.2014, p. 1701-1745.

Research output: Contribution to journalArticle

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