Selected topics on reaction-diffusion-advection models from spatial ecology

Abstract

We discuss the effects of movement and spatial heterogeneity on population dynamics via reaction-diffusion-advection models, focusing on the persistence, competition, and evolution of organisms in spatially heterogeneous environments. Topics include Lokta-Volterra competition models, river models, evolution of biased movement, phytoplankton growth, and spatial spread of epidemic disease. Open problems and conjectures are presented.

References in corpus (4)

• Population dynamics in river networks
• Monotonicity of the principal eigenvalue for a linear time-periodic parabolic operator
• Global stability of nonhomogeneous equilibrium solution for the diffusive Lotka-Volterra competition model
• Concentration Phenomena of a Semilinear Elliptic Equation with Large Advection in an Ecological Model

Cited by in corpus (1)

• Optimisation of the total population size with respect to the initial condition for semilinear parabolic equations: Two-scale expansions and symmetrisations