2025/10/10 by Boldeanu, Ana-Maria, Neagu, Mircea
#Differential Geometry (math.DG) #FOS: Mathematics
paper · doi:10.48550/arxiv.2510.09843
The aim of this paper is to develop, via the least squares variational method, the Lagrange-Hamilton geometry (in the sense of nonlinear connections, d-torsions and Lagrangian Yang-Mills electromagnetic-like energy) produced by a Lotka-Volterra dynamical system, a simple model of the population dynamics of species competing for some common resource. From a geometrical point of view, the Jacobi stability of this system is discussed.