Invariants for the generalized Lotka-Volterra equations

Invariants for the generalized Lotka-Volterra equations

A generalisation of Lotka-Volterra System is given when self limiting terms are introduced in the model. We use a modification of the Carleman embedding method to find invariants for this system of equations. The position and stability of the equilibrium point and the regression of system under inva...

Ausführliche Beschreibung

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Bibliographische Detailangaben
Hauptverfasser: Cairó, Laurent, Feix, Marc R., Goedert, Joao
Format: Buchkapitel
Sprache:eng
Schlagworte:
Central Equilibrium Point
Cyclic Orbit
Equilibrium Point
Lorenz Model
Lorenz System
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Beschreibung
Zusammenfassung:A generalisation of Lotka-Volterra System is given when self limiting terms are introduced in the model. We use a modification of the Carleman embedding method to find invariants for this system of equations. The position and stability of the equilibrium point and the regression of system under invariant conditions are studied.
ISSN:0075-8450
1616-6361
DOI:10.1007/BFb0033642