Three-patch models for the evolution of dispersal in advective environments: varying drift and network topology

DOI10.1007/s11538-021-00939-8zbMath1481.34063OpenAlexW3200319405WikidataQ113900126 ScholiaQ113900126MaRDI QIDQ2239294

Yuan Lou, King-Yeung Lam, Hong-Yan Jiang

Publication date: 3 November 2021

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11538-021-00939-8

zbMATH Keywords

network topologyevolution of dispersalriver patch modelvarying drift

Mathematics Subject Classification ID

Problems related to evolution (92D15) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Planar graphs; geometric and topological aspects of graph theory (05C10) Stability of solutions to ordinary differential equations (34D20) Ecology (92D40) Qualitative investigation and simulation of ordinary differential equation models (34C60) Global stability of solutions to ordinary differential equations (34D23)

Related Items (8)

Impact of resource distributions on the competition of species in stream environment ⋮ Dynamical behavior of solutions of a reaction-diffusion model in river network ⋮ Invasion analysis of a two‐species Lotka–Volterra competition model in an advective patchy environment ⋮ On the impact of spatial heterogeneity and drift rate in a three-patch two-species Lotka-Volterra competition model over a stream ⋮ Maximizing Metapopulation Growth Rate and Biomass in Stream Networks ⋮ Dynamics of Lotka-Volterra competition patch models in streams with two branches ⋮ Evolution of Dispersal in Advective Patchy Environments with Varying Drift Rates ⋮ Evolution of dispersal in advective patchy environments

Cites Work

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• Reaction-diffusion-advection models for the effects and evolution of dispersal
• Population persistence in river networks
• Seasonal influences on population spread and persistence in streams: spreading speeds
• Seasonal invasion dynamics in a spatially heterogeneous river with fluctuating flows
• Evolution of dispersal in open advective environments
• Qualitative analysis for a Lotka-Volterra competition system in advective homogeneous environment
• On a Lotka-Volterra competition model: the effects of advection and spatial variation
• On a Lotka-Volterra competition system: diffusion vs advection
• Can spatial variation alone lead to selection for dispersal?
• Evolutionary stability of ideal free dispersal strategies in patchy environments
• Population persistence under advection-diffusion in river networks
• Evolution of natal dispersal in spatially heterogenous environments
• Effects of heterogeneity on spread and persistence in rivers
• Dispersal strategies in patchy environments
• Are two-patch models sufficient? The evolution of dispersal and topology of river network modules
• The evolution of slow dispersal rates: a reaction diffusion model
• The evolution of dispersal rates in a heterogeneous time-periodic environment
• Global dynamics of a Lotka-Volterra competition-diffusion-advection system in heterogeneous environments
• The dynamical theory of coevolution: A derivation from stochastic ecological processes
• Competition of three species in an advective environment
• How flow speed alters competitive outcome in advective environments
• Resident-invader dynamics in infinite dimensional systems
• Ecological and evolutionary dynamics in advective environments: critical domain size and boundary conditions
• Persistence metrics for a river population in a two-dimensional benthic-drift model
• Analysis of a reaction-diffusion benthic-drift model with strong Allee effect growth
• Population dynamics in river networks
• Population dynamics in river networks: analysis of steady states
• Evolution of dispersal in advective homogeneous environment: the effect of boundary conditions
• Dimorphism by singularity theory in a model for river ecology
• Spatial patterns and coexistence mechanisms in systems with unidirectional flow
• Competition of multiple species in advective environments
• Persistence and extinction of population in reaction-diffusion-advection model with strong Allee effect growth
• Persistence, spread and the drift paradox
• A remark on the global dynamics of competitive systems on ordered Banach spaces
• $R_0$ Analysis of a Benthic-Drift Model for a Stream Population
• The Emergence of Range Limits in Advective Environments
• Seasonal Influences on Population Spread and Persistence in Streams: Critical Domain Size
• Evolution of dispersal in closed advective environments
• On an abstract competition model and applications
• Competitive exclusion and coexistence for competitive systems on ordered Banach spaces
• Persistence and Extinction of Population in Reaction-Diffusion-Advection Model with Weak Allee Effect Growth
• The Logic of Animal Conflict
• The ideal free distribution as an evolutionarily stable strategy
• The Effect of Dispersal Patterns on Stream Populations

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