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In this chapter, we propose a new fractional model that describes the dynamics of viral infections like human immunodeficiency virus (HIV), hepatitis B virus (HBV), and SARS-CoV-2 which causes COVID-19. The proposed model includes three modes of transmission, two types of infected cells, one delay in viral production, and humoral immunity exerted by antibodies to neutralize viral particles. The equilibria and threshold parameters of the model are fully determined. Furthermore, the stability of equilibria is rigorously established.

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Stability of a Delayed Fractional Model for Viral Infection with Multiple Modes of Transmission and Humoral Immunity

  • 章节

  • 发表日期：

    2025年

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  • Hanae Boukhrissi,
  • Fatima Assadiki,
  • Khalid Hattaf,
  • Fouad Lahmidi

摘要

In this chapter, we propose a new fractional model that describes the dynamics of viral infections like human immunodeficiency virus (HIV), hepatitis B virus (HBV), and SARS-CoV-2 which causes COVID-19. The proposed model includes three modes of transmission, two types of infected cells, one delay in viral production, and humoral immunity exerted by antibodies to neutralize viral particles. The equilibria and threshold parameters of the model are fully determined. Furthermore, the stability of equilibria is rigorously established.