A family of planar Lotka--Volterra systems with invariant algebraic curves of arbitrary degree

2025/12/11 by Coyo-Guarachi, Javier, Rebollo-Perdomo, Salomón
Engineering · Mathematics · Medicine · #14H70 #34C14 #Advanced Differential Equations and Dynamical Systems #Classical Analysis and ODEs (math.CA) #Control and Dynamics of Mobile Robots #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical and Theoretical Epidemiology and Ecology Models #Primary: 34C45 #Secondary: 34C05

paper · doi:10.48550/arxiv.2512.11117

openalex publication_date 2025/12/11 · openalex created_date 2025/12/16 · openalex updated_date 2026/07/28

Abstract

We introduce a new family of planar Lotka--Volterra systems admitting explicit invariant algebraic curves of arbitrarily high degree.

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