Stability around the hyper-LSP in French distribution channel: a “prey-predator” modeling

In this article, we propose a modeling of the triad composed of Manufacturers, Hyper Logistics Service Providers (HLSP), and Distributors. This modeling is based on the dynamics of the “Prey-Predator” populations. We focus the reflection on the LSP positioned as a keystone. We use a three-body “Lotka-Volterra” model with a logistic restriction for the Hyper-LSP. The aim of this model is to show that harmony is possible thanks to a third party. The model leads to a projection of the great and undeniable role of the HLSP. Could we see a logistic pattern of the future in this model? This article proves the assertion according to which the Hyper-LSP is a “keystone” in the relations of the distribution channel. The paper underlines the importance of the sustainability of the distribution channel.