On a quadratic Poisson algebra and integrable Lotka-Volterra systems with solutions in terms of Lambert's W function

Peter H. van der Kamp, D. I. McLaren, G. R. W. Quispel

We study a class of integrable nonhomogeneous Lotka-Volterra systems whose quadratic terms are defined by an antisymmetric matrix and whose linear terms consist of three blocks. We…