
doi: 10.1002/mma.431
AbstractWe derive necessary and sufficient conditions on a Lotka–Volterra model to admit a conservation law of Volterra's type. The result and the proof for the corresponding linear algebra problem are given in graph‐theoretical terms; they refer to the directed graph which is defined by the coefficients of the differential equation system. Copyright © 2003 John Wiley & Sons, Ltd.
Structural stability and analogous concepts of solutions to ordinary differential equations, Lotka-Volterra model, conservation law, Directed graphs (digraphs), tournaments, Symmetries, invariants of ordinary differential equations, Global stability of solutions to ordinary differential equations, directed graph
Structural stability and analogous concepts of solutions to ordinary differential equations, Lotka-Volterra model, conservation law, Directed graphs (digraphs), tournaments, Symmetries, invariants of ordinary differential equations, Global stability of solutions to ordinary differential equations, directed graph
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