Algebraic Integrability for a Class of 3 { Dimensional Lotka { Volterra Systems
نویسنده
چکیده
The ABC systems are a particular family of Lotka{Volterra systems in dimension 3. Their integrability has been studied these last years by many authors. In this paper we study the ABC systems which are algebraically integrable, i.e. the ABC systems having two independent algebraic rst integrals. For doing this we need to summarize all the known results about the polynomial and rational rst integrals of the ABC systems and provide new ones. We present two versions of one open problem.
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