The transmission dynamic of different hepatitis B-infected individuals with the effect of hospitalization
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Updated: Feb 7, 2026

Modeling Hepatitis B Virus Infection in Non-Hepatic 293T-NE-3NRs Cells
Published on: June 5, 2020
Tahir Khan1, Gul Zaman1, Muhammad Ikhlaq Chohan2
1a Department of Mathematics , University of Malakand , Chakdara , Khyber Pakhtunkhwa , Pakistan.
Abstract:
We propose an epidemic model for the transmission of hepatitis B virus along with the classification of different infection phases and hospitalized class. We formulate the model and discuss its basic mathematical properties, e.g. existence, positivity, and biological feasibility. Exploiting the next generation matrix approach, we find the basic reproductive number of the model. We perform sensitivity analysis to illustrate the effect of various parameters on the transmission of the disease. We investigate stability of the equilibria of the model in terms of the basic reproduction number. Conditions for the stability of the proposed model are obtained using various approaches. Finally, we perform the numerical simulations to discuss sensitivity analysis and to support our analytical work.
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