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Stability analysis of predator-prey models via the liapunov method

✍ Scribed by M. Gatto; S. Rinaldi

Publisher
Springer
Year
1977
Tongue
English
Weight
397 KB
Volume
39
Category
Article
ISSN
1522-9602

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✦ Synopsis

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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