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Computational Modelling in Epidemiological Dispersion Using Diffusion and Epidemiological Equations: Epidemiological Dispersion Modelling

Author

Listed:
  • George I. Lambrou

    (National and Kapodistiran University of Athens, Athens, Greece)

  • Kyriaki Hatziagapiou

    (National and Kapodistrian University of Athens, Athens, Greece)

  • Petros Toumpaniaris

    (Biomedical Engineering Lab, National Technical University of Athens, Athens, Greece)

  • Penelope Ioannidou

    (National Technical University of Athens, Athens, Greece)

  • Dimitrios Koutsouris

    (Biomedical Engineering Lab, National Technical University of Athens, Athens, Greece)

Abstract

Although a considerable amount of knowledge is gathered concerning diseases and their transmission, still more is to learn on their mathematical modelling. The present work reviews the existent knowledge on models of epidemiological dispersion, the creation of a new form of an epidemiological diffusion equation, and the subsequent application of this equation to the investigation of epidemiological phenomena. Towards that scope, the authors have used mathematical models which have been previously reported, as well as algorithmic approaches of stochastic nature for the solution of complex functions. In particular, they have used dynamic programming algorithms, Robbins-Monro and Kiefer-Wolfowitz stochastic optimization algorithms, Markov chains and cellular automata. The modified diffusion equation could potentially provide a useful tool to the investigation of epidemiological phenomena. More research is required in order to explore the extent of its possibilities and uses.

Suggested Citation

  • George I. Lambrou & Kyriaki Hatziagapiou & Petros Toumpaniaris & Penelope Ioannidou & Dimitrios Koutsouris, 2019. "Computational Modelling in Epidemiological Dispersion Using Diffusion and Epidemiological Equations: Epidemiological Dispersion Modelling," International Journal of Reliable and Quality E-Healthcare (IJRQEH), IGI Global, vol. 8(4), pages 1-37, October.
    • Handle: RePEc:igg:jrqeh0:v:8:y:2019:i:4:p:1-37
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