Combination Therapy for Chronic Hepatitis B Using Capsid Recycling Inhibitor

The paper defines the same four-compartment HBV model with therapy (T,I,C,V) and parameters, introduces the threshold RB:=ϕα−(1−ϕ)(1−n3)r+μI>0 for well-posedness, and computes the basic reproduction number R0 via the next-generation method; the displayed formula matches the candidate’s expression R0 = β p Λ ϕ α (1−n1)(1−n2) / ( μT·RB·μC·μV) once notational differences are reconciled . The paper then states two Lyapunov functionals L1 (at the DFE) and L2 (at the endemic equilibrium) that yield global asymptotic stability in the respective regimes R0<1 and R0>1 by LaSalle’s invariance principle; these are the same Volterra-type constructions and weight-balancing equalities used by the candidate solution, up to notation and routine algebraic cancellations . Minor presentational gaps in the paper (e.g., only sketching positivity/boundedness and the dL/dt cancellations) are filled by the model’s explicit coefficient choices and cancellation identities, but they do not change the underlying proof strategy; both arguments are essentially the same.