Derivation of Five-Dimensional Lotka-Voltera Algebra

TL;DR

This paper explores the derivation space of five-dimensional Lotka-Volterra algebras, using anti-symmetric matrices to define the algebra, contributing to the mathematical understanding of biological interaction models.

Contribution

It provides a detailed derivation of the structure of five-dimensional LV algebras, extending previous work on lower-dimensional cases.

Findings

Explicit description of derivation space for 5D LV algebra

Use of anti-symmetric matrices in algebra definition

Advances mathematical understanding of biological interaction models

Abstract

Lotka-Volterra (LV) algebras are generally applied in solving biological problems and in examining the interactions among neighboring individuals. With reference to the methods applied by Gutierrez-Fernandez and Garcia in \cite{17}. this study examines the derivations of five-dimensional LV algebras. Before explicitly describing its derivation space, anti-symmetric matrices are used to define the LV algebra A.