Impact of resource distributions on the competition of species in stream environment

DOI10.1007/s00285-023-01978-6zbMath1521.92076arXiv2306.05555MaRDI QIDQ6056539

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Publication date: 2 October 2023

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

Full work available at URL: https://arxiv.org/abs/2306.05555

zbMATH Keywords

global dynamicspatch modelLotka-Volterra competition modelresource distributionsstream species

Mathematics Subject Classification ID

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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• Global dynamics of the Lotka-Volterra competition-diffusion system with equal amount of total resources. II
• The effects of diffusion and spatial variation in Lotka-Volterra competition-diffusion system. II: The general case
• Evolution of dispersal in open advective environments
• Effects of dispersal on total biomass in a patchy, heterogeneous system: analysis and experiment
• Properties of optimizers of the principal eigenvalue with indefinite weight and Robin conditions
• On the dependence of population size upon random dispersal rate
• Effects of heterogeneity on spread and persistence in rivers
• Are two-patch models sufficient? The evolution of dispersal and topology of river network modules
• Minimization of the principal eigenvalue for an elliptic boundary value problem with indefinite weight, and applications to population dynamics
• Dispersal and spatial heterogeneity: single species
• Global-stability problem for coupled systems of differential equations on networks
• On the effects of spatial heterogeneity on the persistence of interacting species
• Global asymptotic behavior in single-species discrete diffusion systems
• Maximization of the total population in a reaction-diffusion model with logistic growth
• Global dynamics of the Lotka-Volterra competition-diffusion system with equal amount of total resources. III
• The evolution of dispersal
• Variability, vagueness and comparison methods for ecological models
• How flow speed alters competitive outcome in advective environments
• Coexistence in a competition-diffusion-advection system with equal amount of total resources
• The optimal distribution of resources and rate of migration maximizing the population size in logistic model with identical migration
• On the unboundedness of the ratio of species and resources for the diffusive logistic equation
• Maximizing the total population with logistic growth in a patchy environment
• Three-patch models for the evolution of dispersal in advective environments: varying drift and network topology
• Optimal location of resources maximizing the total population size in logistic models
• Trait selection and rare mutations: the case of large diffusivities
• 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
• Analysis of the periodically fragmented environment model. I: Species persistence
• On the effects of migration and spatial heterogeneity on single and multiple species
• Global dynamics for two-species competition in patchy environment
• Persistence, spread and the drift paradox
• Optimal control of growth coefficient on a steady-state population model
• 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
• An optimization problem and its application in population dynamics
• The Emergence of Range Limits in Advective Environments
• Global Dynamics of the Lotka-Volterra Competition-Diffusion System: Diffusion and Spatial Heterogeneity I
• Diffusive Logistic Equations with Indefinite Weights: Population Models in Disrupted Environments II
• Diffusive logistic equations with indefinite weights: population models in disrupted environments
• Spatial Ecology via Reaction‐Diffusion Equations
• Competitive exclusion and coexistence for competitive systems on ordered Banach spaces
• On a Competition-Diffusion-Advection System from River Ecology: Mathematical Analysis and Numerical Study
• Optimisation of the total population size for logistic diffusive equations: bang-bang property and fragmentation rate
• A Fragmentation Phenomenon for a Nonenergetic Optimal Control Problem: Optimization of the Total Population Size in Logistic Diffusive Models
• Invasion analysis of a two‐species Lotka–Volterra competition model in an advective patchy environment

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