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Investigations into a class of generalized two-dimensional Lotka-Volterra schemes

✍ Scribed by András Dancsó; Henrik Farkas; Miklós Farkas; György Szabó

Publisher
Springer Netherlands
Year
1991
Tongue
English
Weight
933 KB
Volume
23
Category
Article
ISSN
0167-8019

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✦ Synopsis

In [1] a two-dimensional generalized Lotka-Volterra model was established. In this paper we analyze that model which (after scaling) contains five parameters. The generalized model includes explosive, conservative, and stable systems [-23]. The condition for supercritical Hopf bifurcation is established. The model also shows zip bifurcation [14]. Some integrable cases are given together with the first integrals. The model is related to nonlinear chemical and biological systems, e.g. the oscillatory BZ-reaction.

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