Energetic constraints and the paradox of a diffusing population in a heterogeneous environment

DOI10.1016/j.tpb.2018.11.003zbMath1406.92531OpenAlexW2903422814WikidataQ59806616 ScholiaQ59806616MaRDI QIDQ1714233

Yuanshi Wang, Donald L. De Angelis

Publication date: 31 January 2019

Published in: Theoretical Population Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.tpb.2018.11.003

zbMATH Keywords

chemostat modelcarrying capacityenergy constraintsdiscrete-patch modelPearl-Verhulst modeltotal realized asymptotic population abundance

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Ecology (92D40)

Related Items (14)

Total biomass of a single population in two-patch environments ⋮ Population abundance in predator-prey systems with predator's dispersal between two patches ⋮ Population abundance of a two-patch chemostat system with asymmetric diffusion ⋮ Effects of heterogeneity and spatial pattern in multi-patch consumer-resource systems with asymmetric diffusion ⋮ Pollination-mutualisms in a two-patch system with dispersal ⋮ Asymmetric diffusion in a two-patch consumer-resource system ⋮ Asymmetric diffusion in a two-patch mutualism system characterizing exchange of resource for resource ⋮ Dispersal asymmetry in a two-patch system with source-sink populations ⋮ The optimal controlling strategy on a dispersing population in a two-patch system: experimental and theoretical perspectives ⋮ Asymptotic population abundance of a two-patch system with asymmetric diffusion ⋮ A consumer-resource system with source-sink populations and asymmetric dispersal ⋮ Dynamics of consumer-resource systems with consumer's dispersal between patches ⋮ Population abundance of two-patch competitive systems with asymmetric dispersal ⋮ Effect of diffusion on a consumer-resource system with source-sink patches

Cites Work

• Is dispersal always beneficial to carrying capacity? New insights from the multi-patch logistic equation
• Effects of dispersal on total biomass in a patchy, heterogeneous system: analysis and experiment
• Exploitation in model food chains with mechanistic consumer-resource dynamics
• Movement toward better environments and the evolution of rapid diffusion
• Dispersal and spatial heterogeneity: single species
• Population dynamics in two-patch environments: Some anomalous consequences of an optimal habitat distribution
• The evolution of slow dispersal rates: a reaction diffusion model
• General theory of competitive coexistence in spatially-varying environments.
• Population growth regulated by intraspecific competition for energy or time: Some simple representations
• On the effects of migration and spatial heterogeneity on single and multiple species
• Comparison of Logistic Equations for Population Growth
• Mathematical Models of Population Interactions with Dispersal. I: Stability of Two Habitats with and without a Predator
• The ideal free distribution as an evolutionarily stable strategy

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