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On nonstandard finite difference schemes in biosciences

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اقرأ أكثر حفظ في قائمتي
  • معلومة اضافية
    • Contributors:
      University of Pretoria South Africa; Botanique et Modélisation de l'Architecture des Plantes et des Végétations (UMR AMAP); Centre de Coopération Internationale en Recherche Agronomique pour le Développement (Cirad)-Institut National de la Recherche Agronomique (INRA)-Université de Montpellier (UM)-Centre National de la Recherche Scientifique (CNRS)-Institut de Recherche pour le Développement (IRD Occitanie )
    • بيانات النشر:
      HAL CCSD
    • الموضوع:
      2012
    • Collection:
      Université de Montpellier: HAL
    • الموضوع:
      Bulgaria
    • الموضوع:
      St. Constantine and Helena, Bulgaria
    • نبذة مختصرة :
      International audience ; We design, analyze and implement nonstandard finite difference (NSFD) schemes for some differential models in biosciences. The NSFD schemes are reliable in three directions. They are topologically dynamically consistent for onedimensional models. They can replicate the global asymptotic stability of the disease-free equilibrium of the MSEIR model in epidemiology whenever the basic reproduction number is less than 1. They preserve the positivity and boundedness property of solutions of advection-reaction and reaction-diffusion equations.
    • الرقم المعرف:
      10.1063/1.4758961
    • الدخول الالكتروني :
      https://hal.science/hal-03476111
      https://hal.science/hal-03476111v1/document
      https://hal.science/hal-03476111v1/file/AIP_Anguelov_Dumont_Lubuma_2012.pdf
      https://doi.org/10.1063/1.4758961
    • Rights:
      info:eu-repo/semantics/OpenAccess
    • الرقم المعرف:
      edsbas.CF0D97F9