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

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Disease Prevention and Health Promotion in Developing Countries

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.

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Author information

Authors and Affiliations

  1. Centre Régional des Métiers de l’Education et de la Formation (CRMEF), Casablanca, Morocco

    Khalid Hattaf

  2. Laboratory of Analysis, Modelling and simulation (LAMS), Faculty of Sciences Ben M’sik, Hassan II University of Casablanca, 7955, Sidi Othman, Casablanca, Morocco

    Noura Yousfi

Authors
  1. Khalid Hattaf
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  2. Noura Yousfi
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Corresponding author

Correspondence to Khalid Hattaf .

Editor information

Editors and Affiliations

  1. Emirates Aviation University, Dubai, United Arab Emirates

    Abdesslam Boutayeb

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Hattaf, K., Yousfi, N. (2020). Global Properties of a Diffusive HBV Infection Model with Cell-to-Cell Transmission and Three Distributed Delays. In: Boutayeb, A. (eds) Disease Prevention and Health Promotion in Developing Countries. Springer, Cham. https://doi.org/10.1007/978-3-030-34702-4_10

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