Global stability and Hopf bifurcation of a generalized viral infection model with multi-delays and humoral immunity

Khalid Hattaf

Physica A: Statistical Mechanics and its Applications, 2020, vol. 545, issue C

Abstract: The aim of this paper is to develop a mathematical model for viral infection with humoral immunity and two modes of transmission that are the classical virus-to-cell infection and the direct cell-to-cell transmission. These both modes are modeled by two general incidence functions. Also, the model incorporates three delays including two distributed delays in cell infection and virus production, and one discrete delay that models the time needed to activate the immune response. We first prove the well-posedness of the developed model and the biological existence of equilibria. Further, the global stability of equilibria and the existence of Hopf bifurcation are investigated by using the direct and indirect Lyapunov methods. An important number of viral infection models and the corresponding results presented in recent studies are improved and extended.

Keywords: Viral infection; Humoral immunity; Global stability; Stability switches; Hopf bifurcation (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:545:y:2020:i:c:s0378437119320564

DOI: 10.1016/j.physa.2019.123689

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