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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