IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v201y2025ip3s0960077925014109.html

The role of behavior change and vaccination in threshold dynamics of an age-structured tuberculosis model

Author

Listed:
  • Liu, Junyan
  • Zhao, Hongyong
  • Lou, Weiping
  • Huang, Shengyu

Abstract

Tuberculosis (TB) significantly endangers global public health, and human behavior and vaccination are pivotal in its transmission and control. Individuals tend to change their behavior after being infected. Hence we propose a novel age-structured TB infectious disease model, comprehensively considering factors such as vaccination and behavior change. Theoretically, we derive the basic reproduction number R0 via the renewal equation method, clarifying how vaccination and behavior change impact transmission. Furthermore, rigorous mathematical analysis establishes uniform persistence and analyze the existence and stability of equilibria, with R0 as the threshold. Numerically, we carry out parameter estimation and model fitting using real TB data from 2007 to 2023 in China. The fitted parameters confirm the globally asymptotically stable of the endemic equilibrium when R0>1. Subsequently, we conduct both global and local sensitivity analyses to identify the key parameters affecting R0, which show that both vaccination of susceptible individuals and behavior change among infectious individuals can both significantly inhibit TB transmission. This finding provides an important basis for formulating TB prevention and control strategies.

Suggested Citation

  • Liu, Junyan & Zhao, Hongyong & Lou, Weiping & Huang, Shengyu, 2025. "The role of behavior change and vaccination in threshold dynamics of an age-structured tuberculosis model," Chaos, Solitons & Fractals, Elsevier, vol. 201(P3).
    • Handle: RePEc:eee:chsofr:v:201:y:2025:i:p3:s0960077925014109
    DOI: 10.1016/j.chaos.2025.117397
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077925014109
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2025.117397?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    1. Ren, Huarong & Xu, Rui, 2025. "Transmission dynamics of dengue with asymptomatic infection and a case study in Bangladesh," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 231(C), pages 1-18.
    2. Li, Yingke & Teng, Zhidong & Hu, Cheng & Ge, Qing, 2017. "Global stability of an epidemic model with age-dependent vaccination, latent and relapse," Chaos, Solitons & Fractals, Elsevier, vol. 105(C), pages 195-207.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Chen, Yi & Wang, Lianwen & Zhang, Jinhui, 2024. "Global asymptotic stability of an age-structured tuberculosis model: An analytical method to determine kernel coefficients in Lyapunov functional," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
    2. Matthias Klumpp & Dominic Loske & Silvio Bicciato, 2022. "COVID-19 health policy evaluation: integrating health and economic perspectives with a data envelopment analysis approach," The European Journal of Health Economics, Springer;Deutsche Gesellschaft für Gesundheitsökonomie (DGGÖ), vol. 23(8), pages 1263-1285, November.
    3. Sun, Dandan & Teng, Zhidong & Wang, Kai & Zhang, Tailei, 2023. "Stability and Hopf bifurcation in delayed age-structured SVIR epidemic model with vaccination and incubation," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    4. Ran, Xue & Hu, Lin & Nie, Lin-Fei & Teng, Zhidong, 2021. "Effects of stochastic perturbation and vaccinated age on a vector-borne epidemic model with saturation incidence rate," Applied Mathematics and Computation, Elsevier, vol. 394(C).
    5. Das, Riya & Das, Dhiraj Kumar & Kar, Tapan Kumar, 2024. "Qualitative analysis of TB transmission dynamics considering both the age since latency and relapse," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 225(C), pages 939-967.
    6. Nudee, K. & Chinviriyasit, S. & Chinviriyasit, W., 2019. "The effect of backward bifurcation in controlling measles transmission by vaccination," Chaos, Solitons & Fractals, Elsevier, vol. 123(C), pages 400-412.

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:201:y:2025:i:p3:s0960077925014109. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.