Multiscale Modeling of Infectious Disease Dynamics

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Mathematical Biology".

Deadline for manuscript submissions: 30 August 2024 | Viewed by 1111

Special Issue Editors


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Guest Editor
Modelling Health and Environmental Linkages Research Group (MHELRG), Department of Mathematics and Applied Mathematics, University of Venda, Thohoyandou 0950, South Africa
Interests: multiscale modelling of infectious disease systems

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Guest Editor
Department of Mathematics and Applied Mathematics, University of Johannesburg, P.O. Box 524, Auckland Park, Johannesburg 2006, South Africa
Interests: multiscale modelling of infectious and zoonotic disease systems; mathematical models for infectious and zoonotic diseases using dynamical systems

Special Issue Information

Dear Colleagues,

The study of infectious disease dynamics has entered a new era in which modelers are increasingly turning to multiscale modeling to extend traditional modeling frameworks into new application areas and to achieve higher levels of detail and accuracy. The objective of this Special Issue is to change the current predominantly single scale modeling landscape in the design of planning frameworks for the control, elimination and even eradication of infectious disease systems through the exploitation of multiscale modeling methods. In single scale modeling of infectious disease dynamics, the scope and validity of mathematical models are restricted to a single temporal scale and single spatial scale. However, infectious disease systems are multilevel and multiscale complex systems. The complexity of infectious disease systems requires the application of multiscale modeling methods spanning multiple spatial scales and multiple temporal scales. This Special Issue seeks for original research or review articles in the area of multiscale modeling of infectious disease dynamics. Papers are invited that pioneer and establish a powerful conceptual foundation for multiscale modeling of infectious disease dynamics. The main focus of the work should be on elucidating intellectual foundations for the multiscale modeling of disease dynamics.

Specific topics include, but are not limited to:

  1. Multiscale modeling of infectious disease systems processes and mechanisms.
  2. Novel methods for integrating or linking multiple models and scales.
  3. Numerical methods for solving multiscale models of infectious disease dynamics.
  4. Analysis, evaluation and validation of multiscale models of infectious disease dynamics.
  5. Application of multiscale models as planning frameworks for the control, elimination and even eradication of infectious disease systems.
  6. Methods discovery for building of multiscale models of infectious disease dynamics.

Prof. Dr. Winston Garira
Prof. Dr. Faraimunashe Chirove
Guest Editors

Manuscript Submission Information

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Keywords

  • multiscale modeling
  • infectious disease dynamics
  • epidemic modeling and control
  • numerical analysis

Published Papers (1 paper)

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Research

40 pages, 4199 KiB  
Article
The Universal Theory for Multiscale Modelling of Infectious Disease Dynamics
by Winston Garira and Kizito Muzhinji
Mathematics 2023, 11(18), 3874; https://doi.org/10.3390/math11183874 - 11 Sep 2023
Viewed by 736
Abstract
The replication-transmission relativity theory, currently used to inform the development of multiscale models of infectious disease dynamics, needs a revision and extension to accommodate new basic science and clinical information about infectious disease dynamics. In this article, we revise and extend the replication-transmission [...] Read more.
The replication-transmission relativity theory, currently used to inform the development of multiscale models of infectious disease dynamics, needs a revision and extension to accommodate new basic science and clinical information about infectious disease dynamics. In this article, we revise and extend the replication-transmission relativity theory into a new scientific theory of infectious disease dynamics called the universal theory for the multiscale modelling of infectious disease dynamics. This new theory states that, for every host–pathogen interaction that results in an infectious disease system, there is no privileged or absolute scale of a disease system form that would determine the dynamics of the infectious disease system, only interactions between the scales of a level of organisation of the pathogen-centred disease system form and the scales of the corresponding levels of organisation of the host-centred disease system form. We further explain the utility of this theory, which is reflected in its flexibility and ability to incorporate new information and explain previous information that could not be accounted for by the replication-transmission relativity theory of infectious disease dynamics. Full article
(This article belongs to the Special Issue Multiscale Modeling of Infectious Disease Dynamics)
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