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A class of diffusive delayed viral infection models with general incidence function and cellular proliferation

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Main Authors: Alexis, Nangue, Willy Armel Tacteu, Fokam
Format: Book
Language:English
Published: Springer 2023
Subjects:
hepatitis B virus
hepatitis C virus
Online Access:https://dlib.phenikaa-uni.edu.vn/handle/PNK/7444
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spelling oai:localhost:PNK-74442023-04-03T08:07:20Z A class of diffusive delayed viral infection models with general incidence function and cellular proliferation Alexis, Nangue Willy Armel Tacteu, Fokam hepatitis B virus hepatitis C virus CC BY We propose and analyze a new class of three dimensional space models that describes infectious diseases caused by viruses such as hepatitis B virus (HBV) and hepatitis C virus (HCV). This work constructs a Reaction–Diffusion-Ordinary Differential Equation model of virus dynamics, including absorption effect, cell proliferation, time delay, and a generalized incidence rate function. By constructing suitable Lyapunov functionals, we show that the model has threshold dynamics: if the basic reproduction number R0(τ)≤1, then the uninfected equilibrium is globally asymptotically stable, whereas if R0(τ)>1, and under certain conditions, the infected equilibrium is globally asymptotically stable. 2023-04-03T07:58:56Z 2023-04-03T07:58:56Z 2022 Book https://dlib.phenikaa-uni.edu.vn/handle/PNK/7444 en https://link.springer.com/article/10.1007/s10468-021-10099-x application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic hepatitis B virus
hepatitis C virus
spellingShingle hepatitis B virus
hepatitis C virus
Alexis, Nangue
Willy Armel Tacteu, Fokam
A class of diffusive delayed viral infection models with general incidence function and cellular proliferation
description CC BY
format Book
author Alexis, Nangue
Willy Armel Tacteu, Fokam
author_facet Alexis, Nangue
Willy Armel Tacteu, Fokam
author_sort Alexis, Nangue
title A class of diffusive delayed viral infection models with general incidence function and cellular proliferation
title_short A class of diffusive delayed viral infection models with general incidence function and cellular proliferation
title_full A class of diffusive delayed viral infection models with general incidence function and cellular proliferation
title_fullStr A class of diffusive delayed viral infection models with general incidence function and cellular proliferation
title_full_unstemmed A class of diffusive delayed viral infection models with general incidence function and cellular proliferation
title_sort class of diffusive delayed viral infection models with general incidence function and cellular proliferation
publisher Springer
publishDate 2023
url https://dlib.phenikaa-uni.edu.vn/handle/PNK/7444
_version_ 1762184304381657088
score 8.893527

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