Asymptotic behaviour of solutions of the diffusive Lotka-Volterra equations

DOI10.1007/BF00276988zbMath0508.34039OpenAlexW2057565143WikidataQ113909024 ScholiaQ113909024MaRDI QIDQ1837824

Yanyan Li

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1007/bf00276988

zbMATH Keywords

diffusion coefficientsspatial homogeneityasymptotic spatial homogeneity of solutionsdiffusive Lotka-Volterra equations

Mathematics Subject Classification ID

Asymptotic expansions of solutions to ordinary differential equations (34E05) General biology and biomathematics (92B05)

Related Items

Persistence, extinction, and critical patch number for island populations, Local well-posedness for a Lotka-Volterra system in Besov spaces, Lotka--Volterra Competition Model on Graphs, Transit delays and dispersive populations in patchy habitats, The effects of habitat fragmentation on persistence of source-sink metapopulations in systems with predators and prey or apparent competitors

Cites Work

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• Spatial pattern formation of prey-predator populations
• Stability of multispecies communities in randomly varying environment
• Convergence to the equilibrium state in the Volterra-Lotka diffusion equations
• Nonlinear reaction-diffusion models for interacting populations
• Liapunov stability of the diffusive Lotka-Volterra equations
• Limiting behaviour for a prey-predator model with diffusion and crowding effects
• Global stability in Lotka-Volterra systems with diffusion
• On a certain semilinear parabolic system related to the Lotka-Volterra ecological model
• Asymptotic Behaviors of a Parabolic System Related to a Planktonic Prey and Predator Model
• RANDOM DISPERSAL IN THEORETICAL POPULATIONS