Measure preservation and integrals for Lotka--Volterra tree-systems and their Kahan discretisation

Peter H. van der Kamp, Robert I. McLachlan, David I. McLaren +1

We show that any Lotka--Volterra tree-system associated with an $n$-vertex tree, as introduced in Quispel et al., J. Phys. A 56 (2023) 315201, preserves a rational measure. We also…