Persistent competition models between healthy cells and cancer cells in a tissue

• Fethi Borsali ^[1]
  1. [1] Laboratoire Systèmes Dynamiques et Applications, University of Tlemcen
• Localización: SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, ISSN-e 2254-3902, ISSN 2254-3902, Vol. 80, Nº. 2, 2023, págs. 245-260
• Idioma: inglés
• DOI: 10.1007/s40324-022-00291-4
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• Resumen

  • In this paper, we mainly construct and analyze a model of competition between two populations of cells for the glucose in a tissue. We first study the existence and global asymptotic stability of a positive equilibrium point of the model with one population of cells. After that, the sufficient conditions are established for uniform persistence of the competition model from what proceeds and by the mean of the Thieme-Zhao Theorem. Finally, we also give some numerical simulations to illustrate these results and conclusions.