Global dynamics of a diffusive competition model with habitat degradation

DOI10.1007/s00285-022-01720-8zbMath1492.35378OpenAlexW4211242461WikidataQ113905402 ScholiaQ113905402MaRDI QIDQ2113517

Yanyan Li

Publication date: 14 March 2022

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

Full work available at URL: https://doi.org/10.1007/s00285-022-01720-8

zbMATH Keywords

coexistenceglobal dynamicscompetition systemhabitat degradation

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Ecology (92D40) Monotone flows as dynamical systems (37C65)

Related Items (1)

Dynamics of a diffusion-advection Lotka-Volterra competition model with stage structure in a spatially heterogeneous environment

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Global dynamics of the Lotka-Volterra competition-diffusion system with equal amount of total resources. II
• Habitat destruction and the extinction debt revisited: the Allee effect
• The effects of spatial heterogeneity in population dynamics
• On the relative completeness of the generalized eigenvectors of elliptic eigenvalue problems with indefinite weight functions
• The evolution of slow dispersal rates: a reaction diffusion model
• Periodic-parabolic eigenvalue problems with indefinite weight functions
• Habitat deterioration, habitat destruction, and metapopulation persistence in a heterogeneous landscape
• Global dynamics of the Lotka-Volterra competition-diffusion system with equal amount of total resources. III
• A metapopulation model with Markovian landscape dynamics
• 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
• Eigenvalues of Elliptic Boundary Value Problems With an Indefinite Weight Function
• Generation of Analytic Semigroups by Strongly Elliptic Operators Under General Boundary Conditions
• Elliptic Partial Differential Equations of Second Order
• Spatial Ecology via Reaction‐Diffusion Equations
• A Strong Maximum Principle for Quasilinear Parabolic Differential Inequalities
• Dynamical systems in population biology

This page was built for publication: Global dynamics of a diffusive competition model with habitat degradation