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. To cite this article: J. El Ghordaf et al., C. R. Biologies 327 (2004). [Copyright &y& Elsevier]