A Novel Method to Determine the Local Stability of the n-Species Lotka-Volterra System with Multiple Delays

Abstract EN

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.