Effects of dispersal in a non-uniform environment on population dynamics and competition: a patch model approach

DOI10.3934/dcdsb.2014.19.3087zbMath1327.37029OpenAlexW2325222947WikidataQ107967651 ScholiaQ107967651MaRDI QIDQ478148

Bo Zhang, Donald L. De Angelis

Publication date: 3 December 2014

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2014.19.3087

zbMATH Keywords

diffusionadvection-diffusiondiscrete spatial modelinhomogeneous environment

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Differential geometry of symmetric spaces (53C35)

Related Items (13)

The Effect of Connecting Sites in the Environment of a Harvested Population ⋮ A safe harbor can protect an endangered species from its predators ⋮ Stability and bifurcation in a two-patch model with additive Allee effect ⋮ The multi-patch logistic equation with asymmetric migration ⋮ Is dispersal always beneficial to carrying capacity? New insights from the multi-patch logistic equation ⋮ Total biomass of a single population in two-patch environments ⋮ The effect of dispersal on asymptotic total population size in discrete- and continuous-time two-patch models ⋮ Effects of rapid population growth on total biomass in multi-patch environment ⋮ Nonlinear diffusion in multi-patch logistic model ⋮ Generalized logistic equation on networks ⋮ Asymmetric dispersal in the multi-patch logistic equation ⋮ The multi-patch logistic equation ⋮ Global stability of an age-structured population model on several temporally variable patches

Cites Work

• Dynamics of a reaction-diffusion-advection model for two competing species
• Evolutionarily stable and convergent stable strategies in reaction-diffusion models for conditional dispersal
• Can spatial variation alone lead to selection for dispersal?
• The effects of diffusion and spatial variation in Lotka-Volterra competition-diffusion system I: Heterogeneity vs. homogeneity
• Combining endogenous and exogenous spatial variability in analytical population models
• The evolution of conditional dispersal strategies in spatially heterogeneous habitats
• Coexistence of competitors in spatially and temporally varying environments: A look at the combined effects of different sorts of variability
• The evolution of slow dispersal rates: a reaction diffusion model
• General theory of competitive coexistence in spatially-varying environments.
• Evolution of conditional dispersal: evolutionarily stable strategies in spatial models
• Spatial patterns and coexistence mechanisms in systems with unidirectional flow
• On the effects of migration and spatial heterogeneity on single and multiple species
• The ideal free distribution as an evolutionarily stable strategy
• Species coexistence by permanent spatial heterogeneity in a lottery model

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