Algebraic independence of the solutions of the classical Lotka-Volterra system

Yutong Duan, Joel Nagloo

Let $(x_1,y_1),\dots ,(x_n,y_n)$ be distinct non-constant and non-degenerate solutions of the classical Lotka-Volterra system \begin{equation}\notag \begin{split} x'&= axy + bx\\ y…