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

George I. Lambrou, Kyriaki Hatziagapiou, Petros Toumpaniaris, Penelope Ioannidou and Dimitrios Koutsouris
Additional contact information
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

International Journal of Reliable and Quality E-Healthcare (IJRQEH), 2019, vol. 8, issue 4, 1-37

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.

Date: 2019
References: Add references at CitEc
Citations:

Downloads: (external link)
http://services.igi-global.com/resolvedoi/resolve. ... 18/IJRQEH.2019100101 (application/pdf)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:igg:jrqeh0:v:8:y:2019:i:4:p:1-37

Access Statistics for this article

International Journal of Reliable and Quality E-Healthcare (IJRQEH) is currently edited by Anastasius Moumtzoglou

More articles in International Journal of Reliable and Quality E-Healthcare (IJRQEH) from IGI Global
Bibliographic data for series maintained by Journal Editor ().