On the uniqueness of the positive steady state for Lotka-Volterra models with diffusion

DOI10.1016/0022-247X(92)90161-6zbMath0799.35115MaRDI QIDQ1206854

S. W. Ali, Chris Cosner

Publication date: 1 April 1993

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

stabilityuniquenessdiffusive Lotka-Volterra modelcomponentwise positive steady state

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25)

Related Items (13)

Instability of stationary solutions for a Lotka-Volterra competition model with diffusion ⋮ Variability, vagueness and comparison methods for ecological models ⋮ Positive solutions for a three-species competition system with diffusion—I. General existence results ⋮ An Elliptic Nonlinear System of Two Functions with Application ⋮ On the existence and uniqueness of coexistence states for the lotka-volterra competition model with diffusion and spatially dependent coefficients ⋮ Wave propagation for a two-component lattice dynamical system arising in strong competition models ⋮ Practical persistence in ecological models via comparison methods ⋮ Quasisolutions and global attractor of reaction-diffusion systems ⋮ Coexistence states for a diffusive one-prey and two-predators model with B-D functional response ⋮ On the symbiotic Lotka-Volterra model with diffusion and transport effects ⋮ Strong competition with refuges ⋮ Analysis of diffusive two-competing-prey and one-predator systems with Beddington-DeAngelis functional response ⋮ A degree theoretic approach to N-species periodic competition systems on the whole ℝ^N

Cites Work

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• Decay to Uniform States in Ecological Interactions

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