Convergence to the equilibrium state in the Volterra-Lotka diffusion equations |
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| Authors: | Dr. F. Rothe |
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| Affiliation: | (1) Lehrstuhl für Biomathematik, Universität Tübingen, Auf der Morgenstelle 28, D-7400 Tübingen, Federal Republic of Germany |
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| Abstract: | Summary 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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