Authors: Mamadou Lamine Diagne ; Papa Ibrahima Ndiaye ; Mary Teuw Niane ; Tewfik Sari

In this paper we propose a mathematical model of the Typha growth and analyse its stability. The model that we plan to study describes the dynamics of the plant population. The theoretical study of this model determines the key factors of the Typha proliferation. We present the analysis of equilibrium solutions and lead a study of their local stability.This constitutes a first step towards a more detailed study of the nonlinear dynamics of this model.