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Global Properties of a General Latent Pathogen Dynamics Model with Delayed Pathogenic and Cellular Infections

Author

Listed:
  • A. M. Elaiw
  • A. A. Almatrafi
  • A. D. Hobiny
  • K. Hattaf

Abstract

This paper studies the global dynamics of a general pathogenic infection model with two ways of infections. The effect of antibody immune response is analyzed. We incorporate three discrete time delays and both latently infected cells and actively infected cells. The infection rate and production and clearance/death rates of the cells and pathogens are given by general functions. We determine two threshold parameters to investigate the global stability of three equilibria. We use Lyapunov method to establish the global stability. We support our theoretical results by numerical simulations.

Suggested Citation

  • A. M. Elaiw & A. A. Almatrafi & A. D. Hobiny & K. Hattaf, 2019. "Global Properties of a General Latent Pathogen Dynamics Model with Delayed Pathogenic and Cellular Infections," Discrete Dynamics in Nature and Society, Hindawi, vol. 2019, pages 1-18, July.
    • Handle: RePEc:hin:jnddns:9585497
    DOI: 10.1155/2019/9585497
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    Cited by:

    1. Ahmed M. Elaiw & Safiya F. Alshehaiween & Aatef D. Hobiny, 2019. "Global Properties of a Delay-Distributed HIV Dynamics Model Including Impairment of B-Cell Functions," Mathematics, MDPI, vol. 7(9), pages 1-27, September.
    2. Elaiw, Ahmed M. & Alshehaiween, Safiya F. & Hobiny, Aatef D., 2020. "Impact of B-cell impairment on virus dynamics with time delay and two modes of transmission," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
    3. Elaiw, Ahmed M. & Alshaikh, Matuka A., 2020. "Global stability of discrete pathogen infection model with humoral immunity and cell-to-cell transmission," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).

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