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2026, Volume 34, Issue 5: 3251-3276. doi: 10.3934/era.2026146
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Dynamical analysis for an age-structured hepatitis B infection model with latency and HBV DNA-containing capsids

  • 1.
    School of Science, Shandong Jianzhu University, Jinan 250100, China
  • 2.
    School of Mathematical Sciences, Heilongjiang University, Harbin 150080, China
  • Published: 15 April 2026

  • In this paper, we propose an HBV infection model with DNA-containing capsids and age structures in both the latent and infected compartments. We derive the basic reproduction number $ \Re_0 $ and prove, via Lyapunov functions and LaSalle's invariance principle, that the global dynamics are fully determined by $ \Re_0 $: viral clearance when $ \Re_0 < 1 $ and endemic persistence when $ \Re_0 > 1 $. The local stability of each equilibrium is rigorously established by employing linearization techniques and analyzing the associated characteristic equations. Compared to the previous age-structured HBV models without a latent compartment, our results reveal the significant impact of latent age structure on infection thresholds and disease progression.

    Citation: Xiu Dong, Ran Zhang, Xue Ren. Dynamical analysis for an age-structured hepatitis B infection model with latency and HBV DNA-containing capsids[J]. Electronic Research Archive, 2026, 34(5): 3251-3276. doi: 10.3934/era.2026146

    Related Papers:

  • In this paper, we propose an HBV infection model with DNA-containing capsids and age structures in both the latent and infected compartments. We derive the basic reproduction number $ \Re_0 $ and prove, via Lyapunov functions and LaSalle's invariance principle, that the global dynamics are fully determined by $ \Re_0 $: viral clearance when $ \Re_0 < 1 $ and endemic persistence when $ \Re_0 > 1 $. The local stability of each equilibrium is rigorously established by employing linearization techniques and analyzing the associated characteristic equations. Compared to the previous age-structured HBV models without a latent compartment, our results reveal the significant impact of latent age structure on infection thresholds and disease progression.



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  • © 2026 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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