Stable spatio-temporal oscillations of diffusive Lotka-Volterra system with three or more species

DOI10.1007/BF00276088zbMath0521.92018OpenAlexW2045370148WikidataQ113909168 ScholiaQ113909168MaRDI QIDQ1055713

Masayasu Mimura, Kazuo Kishimoto, Kiyoshi Yoshida

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1007/bf00276088

zbMATH Keywords

stability conditionHopf-bifurcationdiffusive Lotka-Volterra systemstable spatio-temporal oscillationsuniform equilibrium of classical Lotka-Volterra interaction-diffusion equations

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Initial-boundary value problems for second-order parabolic equations (35K20) Population dynamics (general) (92D25) Bifurcations in context of PDEs (35B32)

Related Items

The spatial homogeneity of stable equilibria of some reaction-diffusion systems on convex domains, Euclidean invariant phase dynamics for propagating pattern, Pattern formation in systems with one spatially distributed species, A non-local cross-diffusion model of population dynamics I: emergent spatial and spatiotemporal patterns, Persistence and spatial patterns in a one-predator-two-prey Lotka- Volterra model with diffusion, Local well-posedness for a Lotka-Volterra system in Besov spaces, Permanence and global stability for cooperative Lotka-Volterra diffusion systems, Pattern formation in competition-diffusion systems in nonconvex domains

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