Asymptotic population abundance of a two-patch system with asymmetric diffusion

DOI10.3934/dcds.2020031zbMath1435.34051OpenAlexW2980364587WikidataQ89639384 ScholiaQ89639384MaRDI QIDQ2309150

Mengting Fang, Yuanshi Wang, Mingshu Chen, Donald L. De Angelis

Publication date: 30 March 2020

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

Full work available at URL: https://doi.org/10.3934/dcds.2020031

zbMATH Keywords

diffusionuniform persistenceconsumer-resource modelLiapunov stabilityspatially distributed population

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (4)

Stability and bifurcation in a two-patch model with additive Allee effect ⋮ Population abundance in predator-prey systems with predator's dispersal between two patches ⋮ Effects of heterogeneity and spatial pattern in multi-patch consumer-resource systems with asymmetric diffusion ⋮ Population abundance of two-patch competitive systems with asymmetric dispersal

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
• Dispersal and spatial heterogeneity: single species
• From behavioural to population level: Growth and competition
• Effects of diffusion on total biomass in simple metacommunities
• Energetic constraints and the paradox of a diffusing population in a heterogeneous environment
• Asymmetric dispersal in the multi-patch logistic equation
• Convergence in competition models with small diffusion coefficients
• Variability, vagueness and comparison methods for ecological models
• On the effects of migration and spatial heterogeneity on single and multiple species
• Uniformly Persistent Systems
• FAST OSCILLATING MIGRATIONS IN A PREDATOR-PREY MODEL

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