Présentation de la DJE-Gueu

Abstract

Abstract — DJE-Gueu Model The DJE-Gueu Model (Gueu’s Youth and Employment Dynamics Model) is a nonlinear differential model designed to mathematically represent the dynamics of the economically active youth population and the potential effects of economic activation policies on youth employment and inclusion. The model is formulated as : where Y(t) represents the economically active youth population, λ\lambda the demographic growth parameter, α\alpha the intensity of economic activation policies, κ\kappa the diffusion or effectiveness rate of these policies, and μ\mu the market saturation parameter. The model combines demographic dynamics, policy activation and a nonlinear saturation mechanism within a single differential framework. Its mathematical analysis makes it possible to study the existence and positivity of solutions, equilibrium points, local stability, critical thresholds, parameter sensitivity and the long-term evolution of the youth economically active population. Numerical simulations can further illustrate the effects of changes in policy intensity and market constraints. The DJE-Gueu Model aims to provide a mathematical decision-support framework for analysing youth employment dynamics, particularly in territories where statistical, institutional and economic resources are limited. It can therefore serve as a basis for research on public policies, territorial development, economic inclusion and the achievement of Sustainable Development Goal 8 concerning decent work and economic growth. Keywords: DJE-Gueu Model; youth employment; economic activation; differential equation; nonlinear dynamics; equilibrium; stability; parameter sensitivity; economic inclusion; public policy.