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Interaction of human migration and wealth distribution

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اقرأ أكثر حفظ في قائمتي
  • معلومة اضافية
    • Contributors:
      Multi-scale modelling of cell dynamics : application to hematopoiesis (DRACULA); Centre de génétique et de physiologie moléculaire et cellulaire (CGPhiMC); Université Claude Bernard Lyon 1 (UCBL); Université de Lyon-Université de Lyon-Centre National de la Recherche Scientifique (CNRS)-Université Claude Bernard Lyon 1 (UCBL); Université de Lyon-Université de Lyon-Centre National de la Recherche Scientifique (CNRS)-Inria Grenoble - Rhône-Alpes; Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Institut Camille Jordan (ICJ); École Centrale de Lyon (ECL); Université de Lyon-Université de Lyon-Université Claude Bernard Lyon 1 (UCBL); Université de Lyon-Institut National des Sciences Appliquées de Lyon (INSA Lyon); Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université Jean Monnet - Saint-Étienne (UJM)-Centre National de la Recherche Scientifique (CNRS)-École Centrale de Lyon (ECL); Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université Jean Monnet - Saint-Étienne (UJM)-Centre National de la Recherche Scientifique (CNRS); Institut Camille Jordan (ICJ); Modélisation mathématique, calcul scientifique (MMCS); Department of Mathematical Sciences, Loughborough University; Loughborough University
    • بيانات النشر:
      HAL CCSD
      Elsevier
    • الموضوع:
      2017
    • Collection:
      HAL Lyon 1 (University Claude Bernard Lyon 1)
    • نبذة مختصرة :
      International audience ; Dynamics of human populations depends on various economical and social factors. Their migration is partially determined by the economical conditions and it can also influence these conditions. This work is devoted to the analysis of the interaction of human migration and wealth distribution. The model consists of a system of equations for the population density and for the wealth distribution with conventional diffusion terms and with cross diffusion terms describing human migration determined by the wealth gradient and wealth flux determined by human migration. Wealth production and consumption depend on the population density while the natality and mortality rates depend on the level of wealth. In the absence of cross diffusion terms, dynamics of solutions is described by travelling wave solutions of the corresponding reaction–diffusion systems of equations. We show persistence of such solutions for sufficiently small cross diffusion coefficients. This result is based on the perturbation methods and on the spectral properties of the linearized operators.
    • Relation:
      hal-01565519; https://hal.science/hal-01565519; https://hal.science/hal-01565519/document; https://hal.science/hal-01565519/file/NLA-2017.pdf
    • الرقم المعرف:
      10.1016/j.na.2017.02.024
    • الدخول الالكتروني :
      https://hal.science/hal-01565519
      https://hal.science/hal-01565519/document
      https://hal.science/hal-01565519/file/NLA-2017.pdf
      https://doi.org/10.1016/j.na.2017.02.024
    • Rights:
      info:eu-repo/semantics/OpenAccess
    • الرقم المعرف:
      edsbas.60C1F5AB