A mathematical study of a two-regional population growth model.
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.
El Ghordaf
Jalila
J
Université Cadi Ayyad, Facultés Sciences Semlalia, Departement de Mathematiqiues, Bd du Prince Moulay Abdellah, BP 2390, Marrakech 40000, Morocco.
Hbid
Moulay Lhassan
ML
Arino
Ovide
O
D006801:Humans; D008433:Mathematics; D008954:Models, Biological; D011158:Population Growth; D014505:Urban Population