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Mathematical Models for Typhoid Disease Transmission: A Systematic Literature Review

Author

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  • Sanubari Tansah Tresna

    (Magister Program of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Padjadjaran, Jawa Barat 45363, Indonesia)

  • Subiyanto

    (Department of Marine Sciences, Faculty of Fishery and Marine Sciences, Universitas Padjadjaran, Jawa Barat 45363, Indonesia)

  • Sudradjat Supian

    (Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Padjadjaran, Jawa Barat 45363, Indonesia)

Abstract

Explaining all published articles on the typhoid disease transmission model was carried out. It has been conducted to understand how Salmonella is transmitted among humans and vectors with variation interventions to control the spread of the typhoid disease. Specific objectives were to (1) identify the model developed, (2) describe the studies, and (3) identify the interventions of the model. It systemically searched and reviewed Dimension, Scopus, and ScienceDirect databases from 2013 through to 2022 for articles that studied the spread of typhoid fever through a compartmental mathematical model. This study obtained 111 unique articles from three databases, resulting in 23 articles corresponding to the created terms. All the articles were elaborated on to identify their identities for more explanation. Various interventions were considered in the model of each article, are identified, and then summarized to find out the opportunities for model development in future works. The whole article’s content was identified and outlined regarding how mathematics plays a role in model analysis and study of typhoid disease spread with various interventions. The study of mathematical modeling for typhoid disease transmission can be developed on analysis and creating the model with direct and indirect interventions to the human population for further work.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:14:p:2506-:d:866063
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    References listed on IDEAS

    as
    1. Abboubakar, Hamadjam & Racke, Reinhard, 2021. "Mathematical modeling, forecasting, and optimal control of typhoid fever transmission dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 149(C).
    2. Florin Avram & Rim Adenane & Gianluca Bianchin & Andrei Halanay, 2022. "Stability Analysis of an Eight Parameter SIR-Type Model Including Loss of Immunity, and Disease and Vaccination Fatalities," Mathematics, MDPI, vol. 10(3), pages 1-25, January.
    3. 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).
    4. David Moher & Alessandro Liberati & Jennifer Tetzlaff & Douglas G Altman & The PRISMA Group, 2009. "Preferred Reporting Items for Systematic Reviews and Meta-Analyses: The PRISMA Statement," PLOS Medicine, Public Library of Science, vol. 6(7), pages 1-6, July.
    5. Xuejun Shen & Limin Ou & Xiaojun Chen & Xin Zhang & Xuerui Tan, 2013. "The Application of the Grey Disaster Model to Forecast Epidemic Peaks of Typhoid and Paratyphoid Fever in China," PLOS ONE, Public Library of Science, vol. 8(4), pages 1-6, April.
    6. 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.
    7. Ole Ellegaard & Johan A. Wallin, 2015. "The bibliometric analysis of scholarly production: How great is the impact?," Scientometrics, Springer;Akadémiai Kiadó, vol. 105(3), pages 1809-1831, December.
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    Cited by:

    1. Wulan Anggraeni & Sudradjat Supian & Sukono & Nurfadhlina Binti Abdul Halim, 2022. "Earthquake Catastrophe Bond Pricing Using Extreme Value Theory: A Mini-Review Approach," Mathematics, MDPI, vol. 10(22), pages 1-22, November.

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