DYNAMICAL ANALYSIS OF AN AGE-STRUCTURED TUBERCULOSIS MODEL DRIVEN BY THE NOVEL $M72/AS01_E$ VACCINE IN CONTAMINATED ENVIRONMENTS

doi:10.1007/s10473-026-0119-0

Abstract

Abstract: To assess the effectiveness of vaccination in contaminated environments, this study introduces a modeling framework that encompasses two transmission routes, namely direct human-to-human contact and indirect human-to-environment contact, as well as the implementation of new $M72/AS01_E$ vaccine. Motivated by this, a coupled age-structured tuberculosis (TB) model is proposed. Its well-posedness requirement is verified using the integrated semigroup theory. Furthermore, this study presents a comprehensive analysis of threshold dynamics associated with the proposed model. Specifically, the global stability of the disease-free and positive steady states is demonstrated by employing Lyapunov functionals. Lastly, the effects of the vaccination with $M72/AS01_E$ and contaminated environments on TB control are numerically simulated. Experimental results indicate that high concentrations of Mycobacterium tuberculosis in contaminated environments may somewhat impede TB control efforts, but that large-scale deployment of new vaccine could significantly reduce the prevalence of TB.

Key words: tuberculosis model, age structure, contaminated environments, $M72/AS01_E$ vaccine, stability

CLC Number:

92D30

Qian JIANG¹, Zhijun LIU^2,*, Lianwen WANG². DYNAMICAL ANALYSIS OF AN AGE-STRUCTURED TUBERCULOSIS MODEL DRIVEN BY THE NOVEL $M72/AS01_E$ VACCINE IN CONTAMINATED ENVIRONMENTS[J].Acta mathematica scientia,Series B, 2026, 46(1): 330-360.

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