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A generalized distributed delay model for HBV infection with two modes of transmission and adaptive immunity: A mathematical study
  • Kalyan Manna,
  • khalid hattaf
Kalyan Manna
Indian Institute of Technology Kanpur

Corresponding Author:[email protected]

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khalid hattaf
CRMEF, Casablanca
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Abstract

In this paper, we formulate a generalized hepatitis B virus (HBV) infection model with two modes of infection transmission and adaptive immunity, and investigate its dynamical properties. Both the virus-to-cell and cell-to-cell infection transmissions are modeled by general functions which satisfy some biologically motivated assumptions. Furthermore, the model incorporates three distributed time delays for the production of active infected hepatocytes, mature capsids and virions. The well-posedness of the proposed model is established by showing the non-negativity and boundedness of solu- tions. Five equilibria of the model are identified in terms of five threshold parameters R0, R1, R2, R3 and R4. Further, the global stability analysis of each equilibrium under certain conditions is carried out by employing suitable Lyapunov function and LaSalle’s invariance principle. Finally, we present an example with numerical simulations to il- lustrate the applicability of our study. Nonetheless, the results obtained in this study are valid for a wide class of HBV infection models.
17 Nov 2021Submitted to Mathematical Methods in the Applied Sciences
18 Nov 2021Submission Checks Completed
18 Nov 2021Assigned to Editor
09 Dec 2021Reviewer(s) Assigned
07 Apr 2022Review(s) Completed, Editorial Evaluation Pending
07 Apr 2022Editorial Decision: Revise Minor
13 Apr 20221st Revision Received
13 Apr 2022Submission Checks Completed
13 Apr 2022Assigned to Editor
19 Apr 2022Reviewer(s) Assigned
24 Apr 2022Review(s) Completed, Editorial Evaluation Pending
25 May 2022Editorial Decision: Accept