A class of solutions of the asymmetric May-Leonard model
Francesco Calogero, Farrin Payandeh
TL;DR
This paper identifies a new class of elementary solutions for the asymmetric May-Leonard model, a system of nonlinear differential equations, which had not been previously documented.
Contribution
It introduces a previously unreported class of solutions for the asymmetric May-Leonard model, expanding understanding of its solution space.
Findings
Discovered a new class of solutions for the model
Solutions are elementary and previously unadvertised
Enhances understanding of the model's dynamics
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.
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Taxonomy
TopicsAdvanced Differential Equations and Dynamical Systems · Numerical methods for differential equations · Mathematical and Theoretical Epidemiology and Ecology Models