Dynamical analysis for an age-structured hepatitis B infection model with latency and HBV DNA-containing capsids

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Abstract

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 ℜ₀ and prove, via Lyapunov functions and LaSalle’s invariance principle, that the global dynamics are fully determined by ℜ₀: viral clearance when ℜ₀ < 1 and endemic persistence when ℜ₀ > 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.

Keywords

hepatitis B virus / HBV DNA-containing capsids / age structure / latency / basic reproduction number

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