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Global Properties of a Diffusive HBV Infection Model with Cell-to-Cell Transmission and Three Distributed Delays

In: Disease Prevention and Health Promotion in Developing Countries

Author

Listed:
  • Khalid Hattaf

    (Centre Régional des Métiers de l’Education et de la Formation (CRMEF))

  • Noura Yousfi

    (Hassan II University of Casablanca, Laboratory of Analysis, Modelling and simulation (LAMS), Faculty of Sciences Ben M’sik)

Abstract

In this chapter, we develop a mathematical model for hepatitis B virus (HBV) infection with two modes of transmission, spatial diffusion for both HBV DNA-containing capsids and viruses, and three distributed delays. The first delay is for the production of productively infected hepatocytes, the second for the production of matured capsids and the third for the production of matured virions with the corresponding probabilities of survival. The global properties of the model are explored. Furthermore, an application of our main results is presented and discussed.

Suggested Citation

  • Khalid Hattaf & Noura Yousfi, 2020. "Global Properties of a Diffusive HBV Infection Model with Cell-to-Cell Transmission and Three Distributed Delays," Springer Books, in: Abdesslam Boutayeb (ed.), Disease Prevention and Health Promotion in Developing Countries, chapter 0, pages 117-131, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-34702-4_10
    DOI: 10.1007/978-3-030-34702-4_10
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