What question did this study set out to answer?

To analyze the SVEIR model's impact on tuberculosis spread with respect to reinfection, saturated infection, and vaccination.

November 17, 2025AppliedMathOpen Access

Analysis of an SVEIR with Reinfection Model of Tuberculosis Disease Spread with Saturated Infected Rate and Imperfect Vaccination

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SVEIR model demonstrates dynamic behavior and effective reproduction number impact on tuberculosis stability.

To analyze the SVEIR model's impact on tuberculosis spread with respect to reinfection, saturated infection, and vaccination.
Developed an SVEIR model with reinfection dynamics for tuberculosis.
Analyzed local and global stability using Routh–Hurwitz Criterion and Center Manifold theorems.
Conducted numerical simulations to observe behavior under varied parameters.
Identified effective reproduction number influences disease stability equilibrium points.
Demonstrated that infection rates affect both dynamic behavior and latent class transitions.
Provided visual representations through time series and phase-plane trajectories.

Saputra et al. (2025) studied this question.

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