Dissipative structures associated to certain reaction-diffusion equations in mathematical ecology

DOI10.1007/BF02462284zbMath0498.92019OpenAlexW4232087659MaRDI QIDQ1171531

Burton H. Voorhees

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1007/bf02462284

zbMATH Keywords

Lyapunov functionssufficient conditionsreaction-diffusion equationsdissipative structuresexistence of stable spatially heterogeneous solutions of Lotka-Volterra many species equations

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Ecology (92D40) Second-order parabolic equations (35K10)

Cites Work

• Periodic and traveling wave solutions to Volterra-Lotka equations with diffusion
• Liapunov stability of the diffusive Lotka-Volterra equations
• Global stability in Lotka-Volterra systems with diffusion

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