Linear Darboux polynomials for Lotka–Volterra systems, trees and superintegrable families

GRW Quispel, BK Tapley, DI McLaren… - Journal of Physics A …, 2023 - iopscience.iop.org
We present a method to construct superintegrable n-component Lotka–Volterra (LV)
systems with $3 n-2$ parameters. We apply the method to LV systems with n components for …

[PDF][PDF] DYNAMICS OF A TWO-PREY AND ONE PREDATOR SYSTEM WITH QUADRATIC SELF INTERACTION

L Liu, K Ding, Z Yu - Journal of Applied Analysis & Computation, 2023 - jaac-online.com
A two-prey and one-predator system with quadratic self-interaction is discussed on subsets
of special biological sense, none of which is closed under operations of the polynomial ring …

Recent Results on Integrable and Non-integrable Lotka Volterra Systems

T Bountis - ISND–2021 - cosa.inn.demokritos.gr
i= 1 aijxixj= h= const., ai, j=-aj, i, i, j= 1, 2,..., n and preserving the sum∑ ni= 1 xi (t)= h=
const.[1]. In particular, it is interesting to add linear (or nonlinear) terms to these systems, and …