A class of solutions of the asymmetric May-Leonard model

Farrin  Payandeh; Francesco  Calogero

Farrin Payandeh Department of Physics, Payame Noor University, PO BOX 19395-3697 Tehran, Iran
Francesco Calogero Physics Department, University of Rome ”La Sapienza”, Rome, Italy

Abstract

The asymmetric May-Leonard model is a prototypical system of 3 nonlinearly coupled first-order Ordinary Differential Equations with second-degree polynomial right-hand sides. In this short paper we identify a class of special solutions of this system which do not seem to have been previously advertised in spite of their rather elementary character.