Stability analysis of predator-prey models via the liapunov method |
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Authors: | M Gatto S Rinaldi |
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Institution: | (1) Centro di Teoria dei Sistemi, C.N.R., Milano, Italy |
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Abstract: | As is well-known from the classical applications in the electrical and mechanical sciences, energy is a suitable Liapunov
function: thus, by analogy, all energy functions proposed in ecology are potential Liapunov functions. In this paper, a generalized
Lotka-Volterra model is considered and the stability properties of its non-trivial equilibrium are studied by means of an
energy function first proposed by Volterra in the context of conservative ecosystems. The advantage of this Liapunov function
with respect to the one that can be induced through linearization is also illustrated. |
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Keywords: | |
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