2022
DOI: 10.1002/mma.8470
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A generalized distributed delay model for hepatitis B virus infection with two modes of transmission and adaptive immunity: A mathematical study

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 prop… Show more

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Cited by 6 publications
(4 citation statements)
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“…From the biological perspective, R C 2 provides a measure for the average number of CTL cells activated by infected cells when the antibody immune response is already triggered, and R A 2 describes the same for antibody immune cells activated by virions when the CTL immune response is already triggered [6,22]. Note that…”
Section: Basic Resultsmentioning
confidence: 99%
“…From the biological perspective, R C 2 provides a measure for the average number of CTL cells activated by infected cells when the antibody immune response is already triggered, and R A 2 describes the same for antibody immune cells activated by virions when the CTL immune response is already triggered [6,22]. Note that…”
Section: Basic Resultsmentioning
confidence: 99%
“…When HBV infects the hepatocytes, the adaptive immunity plays a crucial role in the clearance of HBV infections, i.e., the cytotoxic T-lymphocyte (CTL) cells act to clear the HBV-infected hepatocytes via both cytolytic and noncytolytic mechanisms, leading to a reduction in levels of circulating virus ( [14,49,58]). In addition, the antibodies which are produced by the B-cells neutralize free viral particles and prevent reinfection ( [2,58]).…”
Section: Introductionmentioning
confidence: 99%
“…Mathematical models have been widely used to study and understand HBV infection. Some models include HBV treatment through drug therapy, e.g., the work of Lewin et al [43] and Yosyingyong and Viriyapong [62], whereas some models include an adaptive immune response, e.g., the work of Yousfi et al [64], Chenari et al [13] and Manna et al [49]. Further, some researchers have also included HBV DNA-containing capsids in their models, e.g., the papers by Manna et al [46][47][48][49] and Harroudi et al [28].…”
Section: Introductionmentioning
confidence: 99%
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