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Modelling the dynamics of antimicrobial-resistant typhoid infection with environmental transmission

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  • Irena, Tsegaye Kebede
  • Gakkhar, Sunita

Abstract

The emergence of treatment-induced acquired resistance is considered one of the most significant challenges in managing typhoid infection. A deterministic nonlinear mathematical model describing the transmission dynamics of antimicrobial-resistant typhoid infection is developed and analyzed. The basic reproduction number is computed for the model. The condition for the existence of possible equilibria and their stability has been discussed. The sensitivity analysis shows that the direct transmission rates of two strains and the consumption rate of bacteria in environmental transmission strongly impacts the basic reproduction number R0. The parameter p, related to treatment-induced acquired resistance, does not affect R0, but numerical simulations reveal that it enhances the load of resistant strain in a co-existence equilibrium state. Although the resistant strain has lower transmissibility than the sensitive strain, the resistant strain alone can persist in a community due to re-infection. The study suggests that access to safe drinking water combined with improved sanitation and hygiene practices can reduce the emergence and global spread of antimicrobial-resistant S. Typhi strains.

Suggested Citation

  • Irena, Tsegaye Kebede & Gakkhar, Sunita, 2021. "Modelling the dynamics of antimicrobial-resistant typhoid infection with environmental transmission," Applied Mathematics and Computation, Elsevier, vol. 401(C).
    • Handle: RePEc:eee:apmaco:v:401:y:2021:i:c:s0096300321001296
    DOI: 10.1016/j.amc.2021.126081
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    References listed on IDEAS

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    1. Shaikh, Amjad S. & Sooppy Nisar, Kottakkaran, 2019. "Transmission dynamics of fractional order Typhoid fever model using Caputo–Fabrizio operator," Chaos, Solitons & Fractals, Elsevier, vol. 128(C), pages 355-365.
    2. Marina Antillón & Joshua L Warren & Forrest W Crawford & Daniel M Weinberger & Esra Kürüm & Gi Deok Pak & Florian Marks & Virginia E Pitzer, 2017. "The burden of typhoid fever in low- and middle-income countries: A meta-regression approach," PLOS Neglected Tropical Diseases, Public Library of Science, vol. 11(2), pages 1-21, February.
    3. Tilahun, Getachew Teshome & Makinde, Oluwole Daniel & Malonza, David, 2018. "Co-dynamics of Pneumonia and Typhoid fever diseases with cost effective optimal control analysis," Applied Mathematics and Computation, Elsevier, vol. 316(C), pages 438-459.
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    Cited by:

    1. Stephen Ekwueme Aniaku & Obiora Cornelius Collins & Ifeanyi Sunday Onah, 2023. "Analysis and Optimal Control Measures of a Typhoid Fever Mathematical Model for Two Socio-Economic Populations," Mathematics, MDPI, vol. 11(23), pages 1-24, November.
    2. Sanubari Tansah Tresna & Subiyanto & Sudradjat Supian, 2022. "Mathematical Models for Typhoid Disease Transmission: A Systematic Literature Review," Mathematics, MDPI, vol. 10(14), pages 1-12, July.

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