A mathematical study of a two-regional population growth model. El Ghordaf, J., Hbid, M. L., & Arino, O. *Comptes Rendus Biologies*, 327:977–982, November, 2004. abstract bibtex 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.

@Article{ElghordafHbidArino2004,
author = {El Ghordaf, Jalila and Hbid, Moulay Lhassan and Arino, Ovide},
title = {A mathematical study of a two-regional population growth model},
journal = {Comptes Rendus Biologies},
year = {2004},
volume = {327},
pages = {977--982},
month = nov,
issn = {1631-0691},
__markedentry = {[jarino:]},
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.},
citation-subset = {IM},
completed = {2005-02-08},
country = {France},
issn-linking = {1631-0691},
issue = {11},
keywords = {Humans; Mathematics; Models, Biological; Population Growth; Urban Population},
nlm-id = {101140040},
owner = {NLM},
pii = {S1631-0691(04)00212-4},
pmid = {15628220},
pubmodel = {Print},
pubstatus = {ppublish},
revised = {2017-11-21},
}

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