A novel method to determine the local stability of the \(n\)-species Lotka-Volterra system with multiple delays (Q1793600)

Summary: The \(n\)-species Lotka-Volterra system with discrete delays is considered. The local asymptotic stability of positive equilibrium is investigated based on a contour integral method. The main purpose of this paper is to propose a new and general algorithm to study the local asymptotic stability of the positive equilibrium for the \(n\)-dimensional Lotka-Volterra system. Some numerical experiments are carried out to show the effectiveness of the proposed method.