The Discrete Time-Space SIR-SI Age-Structured Model for Leptospirosis

  • Authors

    • Nor Azah Samat
    • Aznida Che Awang
    2018-11-30
    https://doi.org/10.14419/ijet.v7i4.30.22374
  • Age-structured Model, Discrete Time-Space Mode, Leptospirosis, SIR Model.

  • Abstract

    The aim of this study is to introduce new discrete time-space SIR-SI age-structured disease transmission models for Leptospirosis disease. The term “age-structured†here refers to having two different age groups, which are children and adult. These models are important because it will later lead to a conclusion of whether children or adult have high risk of being infected by Leptospirosis disease. In this study, two types of SIR-SI age-structured models are introduced. These include models with and without the transition rate between age groups. The future application of these two models will be based on the availability of parameter value and Leptospirosis data.

  • References

    1. [1] Samat NA & Percy DF, Vector-borne infectious disease mapping with stochastic difference equations: an analysis of dengue disease in Malaysia, Journal of Applied Statistics, 39(9), (2012), pp.2029–2046.

      [2] Samat NA & Imam SHM, Dengue Disease Mapping with Standardized Morbidity Ratio and Poisson-gamma Model : An Analysis of Dengue Disease in Perak, Malaysia, (8), (2013), pp.46–50.

      [3] Kristiani F, Samat, NA & Bin Ab Ghani S, The SIR-SI model with age-structured human population for dengue disease mapping in Bandung, Indonesia. Model Assisted Statistics and Applications, 12(2), (2017), pp.151–161.

      [4] Triampo W, Baowan D, Tang IM, Nuttavut N, & Doungchawee G, A Simple Deterministic Model for the Spread of Leptospirosis in Thailand, (2006), pp.22–26.

      [5] Pongsumpun P, Mathematical Model for the Transmission of Leptospirosis in Juvennile and Adults Humans, (2012), pp.266–271.

      [6] Faine S, Guidelines For The Control of Leptospirosis. Melbourne, Australia: WHO Offset Publication (1982), No.67.

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  • How to Cite

    Samat, N. A., & Awang, A. C. (2018). The Discrete Time-Space SIR-SI Age-Structured Model for Leptospirosis. International Journal of Engineering & Technology, 7(4.30), 484-487. https://doi.org/10.14419/ijet.v7i4.30.22374

    Received date: 2018-11-29

    Accepted date: 2018-11-29

    Published date: 2018-11-30