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Proper rational and analytic first integrals for asymmetric 3-dimensional Lotka-Volterra systems

Abstract

Agraïments: The second author is partially supported by FCT/Portugal through UID/MAT/04459/2013.We go beyond in the study of the integrability of the classical model of competition between three species studied by May and Leonard [19], by considering a more realistic asymmetric model. Our results show that there are no global analytic first integrals and we provide all proper rational first integrals of this extended model by classifying its invariant algebraic surfaces

Similar works

This paper was published in Diposit Digital de Documents de la UAB.

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