Literature DB >> 18155252

Dynamics of an HBV model with diffusion and delay.

Kaifa Wang1, Wendi Wang, Shiping Song.   

Abstract

In this paper we model and analyze the hepatitis B virus (HBV) infection in a diffusion model confined to a finite domain, induced by intracellular time delay between infection of a cell and production of new virus particles. The equilibrium solutions are obtained and the stability is analyzed if the space is assumed as homogeneous. When the space is inhomogeneous, the effects of diffusion and intracellular time delay are obtained by computer simulations.

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Year:  2007        PMID: 18155252     DOI: 10.1016/j.jtbi.2007.11.007

Source DB:  PubMed          Journal:  J Theor Biol        ISSN: 0022-5193            Impact factor:   2.691


  7 in total

1.  A reaction-diffusion within-host HIV model with cell-to-cell transmission.

Authors:  Xinzhi Ren; Yanni Tian; Lili Liu; Xianning Liu
Journal:  J Math Biol       Date:  2018-01-05       Impact factor: 2.259

2.  Mathematical modeling of viral infection dynamics in spherical organs.

Authors:  Ricardo Dunia; Roger Bonnecaze
Journal:  J Math Biol       Date:  2012-09-25       Impact factor: 2.259

3.  Pattern Formation in Epidemic Model with Media Coverage.

Authors:  Ronobir Chandra Sarker; Saroj Kumar Sahani
Journal:  Differ Equ Dyn Syst       Date:  2022-02-19

4.  A study on fractional HBV model through singular and non-singular derivatives.

Authors:  Sunil Kumar; R P Chauhan; Ayman A Aly; Shaher Momani; Samir Hadid
Journal:  Eur Phys J Spec Top       Date:  2022-03-02       Impact factor: 2.891

5.  Transmission model of hepatitis B virus with the migration effect.

Authors:  Muhammad Altaf Khan; Saeed Islam; Muhammad Arif; Zahoor ul Haq
Journal:  Biomed Res Int       Date:  2013-06-24       Impact factor: 3.411

6.  Mathematical modeling of transmission dynamics and optimal control of vaccination and treatment for hepatitis B virus.

Authors:  Ali Vahidian Kamyad; Reza Akbari; Ali Akbar Heydari; Aghileh Heydari
Journal:  Comput Math Methods Med       Date:  2014-04-09       Impact factor: 2.238

7.  Impulsive Reaction-Diffusion Delayed Models in Biology: Integral Manifolds Approach.

Authors:  Gani Stamov; Ivanka Stamova; Cvetelina Spirova
Journal:  Entropy (Basel)       Date:  2021-12-03       Impact factor: 2.524

  7 in total

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