Global dynamics and evolutionarily stable strategies in a two-species competition patch model

Population dynamics (general) (92D25) Ecology (92D40) Global stability of solutions to ordinary differential equations (34D23) Monotone systems involving ordinary differential equations (34C12) Monotone flows as dynamical systems (37C65)

Cites Work

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Population persistence in river networks
Evolutionarily stable and convergent stable strategies in reaction-diffusion models for conditional dispersal
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
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
Movement toward better environments and the evolution of rapid diffusion
Asymptotic profiles of the steady states for an SIS epidemic reaction-diffusion model
Evolution of dispersal and the ideal free distribution
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
Global dynamics of a classical Lotka-Volterra competition-diffusion-advection system
Does movement toward better environments always benefit a population?
Global dynamics of a two-species Lotka-Volterra competition-diffusion-advection system with general carrying capacities and intrinsic growth rates. II: Different diffusion and advection rates
Coexistence and extinction for two competing species in patchy environments
Three-patch models for the evolution of dispersal in advective environments: varying drift and network topology
Evolution of conditional dispersal: evolutionarily stable strategies in spatial models
On a Lotka-Volterra competition-diffusion-advection system: homogeneity vs heterogeneity
Population dynamics in river networks
The Fisher-KPP equation over simple graphs: varied persistence states in river networks
Population dynamics in river networks: analysis of steady states
Evolution of dispersal in advective homogeneous environment: the effect of boundary conditions
Persistence and extinction of population in reaction-diffusion-advection model with strong Allee effect growth
Two-species competition with high dispersal: the winning strategy
On the effects of migration and spatial heterogeneity on single and multiple species
Global dynamics for two-species competition in patchy environment
Evolutionarily stable dispersal strategies in a two-patch advective environment
On Lotka-Volterra competitive parabolic systems: exclusion, coexistence and bistability
Evolution of dispersal in advective patchy environments
A remark on the global dynamics of competitive systems on ordered Banach spaces
Global Dynamics of the Lotka-Volterra Competition-Diffusion System: Diffusion and Spatial Heterogeneity I
Seasonal Influences on Population Spread and Persistence in Streams: Critical Domain Size
On several conjectures from evolution of dispersal
Evolution of dispersal in closed advective environments
Principal eigenvalue and eigenfunctions of an elliptic operator with large advection and its application to a competition model
Competitive exclusion and coexistence for competitive systems on ordered Banach spaces
Uniqueness and Complete Dynamics in Heterogeneous Competition-Diffusion Systems
On the Evolution of Slow Dispersal in MultiSpecies Communities
Lotka--Volterra Competition Model on Graphs
On a Competition-Diffusion-Advection System from River Ecology: Mathematical Analysis and Numerical Study
Persistence and Extinction of Population in Reaction-Diffusion-Advection Model with Weak Allee Effect Growth
The Logic of Animal Conflict
Advection-mediated coexistence of competing species
On the Evolution of Dispersal in Patchy Landscapes
Dynamical behavior of solutions of a reaction-diffusion model in river network
Dynamics of a periodic-parabolic Lotka-Volterra competition-diffusion system in heterogeneous environments
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
The principal Floquet bundle and the dynamics of fast diffusing communities
Dynamics of Lotka-Volterra competition patch models in streams with two branches
Global dynamics of two-species Lotka-Volterra competition-diffusion-advection system with general carrying capacities and intrinsic growth rates

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