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Bifurcation and Stability Analysis of an Age-Structured HIV Model with Two Infection Routes and Two Time Delays

  • Yuan Yuan [3] ; Jialiang Huang [1] ; Xianlong Fu [2]
    1. [1] Zhejiang Normal University

      Zhejiang Normal University

      China

    2. [2] East China Normal University

      East China Normal University

      China

    3. [3] Nanjing University of Finance & Economics
    Mostrar afiliaciones +
  • Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 25, Nº 5, 2026
  • Idioma: inglés
  • Enlaces
  • Resumen

    • This paper studies the dynamics of an infinite-dimensional HIV infection model incorporating two distinct time delays and two infection modes. Well-posedness and existence of equilibria of the considered system are first established. Then global asymptotical stability of the disease-free equilibrium is discussed by applying theory of operator semigroups and spectral analysis. For the endemic equilibrium, the joint effect of two delays on the stability is analyzed by employing the stability switching curve method. The obtained results allow us to determine the stability of this equilibrium in the two delays’ plane precisely and prove that periodic oscillations (Hopf bifurcations) emerge as the delay parameters cross the stability switching curves.

      Finally some numerical simulations and sensitivity analysis are provided to illustrate the theoretical results.

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