title: A mathematical study of a two-regional population growth model.
abstract: The paper provides a mathematical study of a model of urban dynamics, adjusting to an ecological model proposed by Lotka and Volterra. The model is a system of two first-order non-linear ordinary differential equations. The study proposed here completes the original proof by using the main tools such as a Lyapunov function.
authors.affiliation: Université Cadi Ayyad, Facultés Sciences Semlalia, Departement de Mathematiqiues, Bd du Prince Moulay Abdellah, BP 2390, Marrakech 40000, Morocco.
authors.forename: Jalila
authors.initials: J
authors.lastname: El Ghordaf
authors.forename: Moulay Lhassan
authors.initials: ML
authors.lastname: Hbid
authors.forename: Ovide
authors.initials: O
authors.lastname: Arino
mesh_terms: D006801:Humans; D008433:Mathematics; D008954:Models, Biological; D011158:Population Growth; D014505:Urban Population