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Convergence to the equilibrium state in the Volterra-Lotka diffusion equations

✍ Scribed by F. Rothe

Publisher: Springer
Year: 1976
Tongue: English
Weight: 245 KB
Volume: 3
Category: Article
ISSN: 0303-6812
DOI: 10.1007/bf00275064

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✦ Synopsis

We introduce a diffusion term in the Volterra-Lotka model for two interacting species. For certain simple boundary conditions there exists a Lyapunov functional which allows to investigate the asymptotic behavior. Either the solution converges to equilibrium or sustained oscillations occur.

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