Mathematical Modelling of Infectious Diseases

A special issue of Infectious Disease Reports (ISSN 2036-7449). This special issue belongs to the section "Infection Prevention and Control".

Deadline for manuscript submissions: closed (30 November 2022) | Viewed by 3267

Special Issue Editors

Institut de Mathématiques de Bordeaux, Université de Bordeaux, 351, COURS de la Libération, 33400 Talence, France
Interests: population dynamics; disease modeling; computational epidemiology
Special Issues, Collections and Topics in MDPI journals
Facultat de Sciences, Departament de Matematiques, Universitat Autonoma de Barcelona, 08193 Bellaterra, Spain
Interests: mathematical epidemiology; basic reproduction number; Wolbachia infection dynamics; quantifying cancer dynamics in the lung; structured population dynamics
Department of Mathematics, Vanderbilt University, 1326 Stevenson Center, Station B 407807, Nashville, TN 37240, USA
Interests: mathematical biology; population dynamics; models of tumor growth; differential equations

Special Issue Information

Dear Colleagues,

The COVID-19 pandemic has reinvigorated interest in using mathematical models by the infectious disease community. The potential for mathematical modeling is tremendous. However, it is challenging to build analytically tractable models that accurately describe disease dynamics that can be easily validated using publicly available datasets.

In this Special Issue, we aim to compile a collection of papers focusing on novel studies based on mathematical models to understand the transmission process's complexity, such as the multiple strain pathogen, vaccination, and others. 

Dr. Pierre Magal
Dr. Jozsef Farkas
Prof. Dr. Glenn Webb
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Infectious Disease Reports is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 1800 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.


  • seasonal diseases
  • mathematical model
  • disease prediction
  • diseases spread
  • epidemiology

Published Papers (1 paper)

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20 pages, 2509 KiB  
A Model for the Lifespan Loss Due to a Viral Disease: Example of the COVID-19 Outbreak
Infect. Dis. Rep. 2022, 14(3), 321-340; - 25 Apr 2022
Cited by 2 | Viewed by 2252
The end of the acute phase of the COVID-19 pandemic is near in some countries as declared by World Health Organization (WHO) in January 2022 based on some studies in Europe and South Africa despite unequal distribution of vaccines to combat the disease [...] Read more.
The end of the acute phase of the COVID-19 pandemic is near in some countries as declared by World Health Organization (WHO) in January 2022 based on some studies in Europe and South Africa despite unequal distribution of vaccines to combat the disease spread globally. The heterogeneity in individual age and the reaction to biological and environmental changes that has been observed in COVID-19 dynamics in terms of different reaction to vaccination by age group, severity of infection per age group, hospitalization and Intensive Care Unit (ICU) records show different patterns, and hence, it is important to improve mathematical models for COVID-19 pandemic prediction to account for different proportions of ages in the population, which is a major factor in epidemic history. We aim in this paper to estimate, using the Usher model, the lifespan loss due to viral infection and ageing which could result in pathological events such as infectious diseases. Exploiting epidemiology and demographic data firstly from Cameroon and then from some other countries, we described the ageing in the COVID-19 outbreak in human populations and performed a graphical representation of the proportion of sensitivity of some of the model parameters which we varied. The result shows a coherence between the orders of magnitude of the calculated and observed incidence numbers during the epidemic wave, which constitutes a semi-quantitative validation of the mathematical modelling approach at the population level. To conclude, the age heterogeneity of the populations involved in the COVID-19 outbreak needs the consideration of models in age groups with specific susceptibilities to infection. Full article
(This article belongs to the Special Issue Mathematical Modelling of Infectious Diseases)
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