Special Issue: Models and Mathematical Methods for fighting Infectious Diseases and easing their impact on society

Guest Editors

Prof. Higinio Ramos
Department of Applied Mathematics, Universidad de Salamanca, Salamanca, Spain
Email: higra@usal.es


Prof. Ezio Venturino
Dipartimento di Matematica, Universit`a di Torino, via Carlo Alberto 10, 10123 Torio, Italy
Email: ezio.venturino@unito.it

Manuscript Topics
The current global pandemic caused by Covid-19 has highlighted the importance of having accurate models for the epidemic spread. From their analysis and simulations, insights can be obtained about the means to adopt for the disease eradication.


In this special issue we intend to set up a forum where to discuss and present the latest topics in mathematical modelling and computational techniques used to describe epidemic processes. These processes can be formulated as dynamical systems, where the aim is to describe and understand the spread of the disease through theoretical tools of population dynamics. The mathematical models can also incorporate experimental data, to determine their parameters, with the ultimate purpose of predicting how the disease will evolve. For this, it will be necessary to make theoretical formulations, assess the values of the parameters involved from available data, run computer simulations and in turn making adjustments to the original equations, if necessary, or most likely to the parameters and tune them until the model is able to reflect reality as closely as possible and thus be able to predict its evolution.


The models are also influenced by the evolutions of the pathogen. In particular, in the case of viruses, we are seeing that they frequently suffer mutations that alter their characteristics, which may affect the way they are transmitted, their virulence or the type of cells that they can attack. These effects should be taken into account in the model formulation, while gathering other relevant information.


From the simplest SIR model, through its many variants, or other models, also of stochastic nature, or based on cellular automata, or individually-based, can be used for the disease evolution and diffusion description. To perform accurate simulations, it is imperative to use reliable tools for their solution. This usually requires the study and adoption of iterative mathematical methods that are computationally efficient.


Another current issue is the availability of different vaccines, whose reliability varies and for which it is not yet fully known how long is their efficacy. Studies that compare the use of different resources and try to minimize costs would be welcome.


In addition, the lockdown policies that have been enforced worldwide have caused considerable economic damages in some countries. There is a need for models to assess and possibly predict the next steps for economic recovery.


We encourage authors to submit original research articles that describe their current state-of-art investigations on the mathematics related to infectious diseases.


Instructions for authors
http://www.aimspress.com/mbe/news/solo-detail/instructionsforauthors
Please submit your manuscript to online submission system
https://aimspress.jams.pub/

Paper Submission

All manuscripts will be peer-reviewed before their acceptance for publication. The deadline for manuscript submission is 30 December 2023

Published Papers(16)

Research article
A mathematical model for malaria disease dynamics with vaccination and infected immigrants
Pride Duve Samuel Charles Justin Munyakazi Renke Lühken Peter Witbooi
2024, Volume 21, Issue 1: 1082-1109. doi: 10.3934/mbe.2024045
Abstract HTML PDF Cited (5) Viewed (2787)
Research article
Dynamics of a dengue disease transmission model with two-stage structure in the human population
Alian Li-Martín Ramón Reyes-Carreto Cruz Vargas-De-León
2023, Volume 20, Issue 1: 955-974. doi: 10.3934/mbe.2023044
Abstract HTML PDF Cited (8) Viewed (2392)
Research article
Individual-based modeling of COVID-19 transmission in college communities
Durward Cator Qimin Huang Anirban Mondal Martial Ndeffo-Mbah David Gurarie
2022, Volume 19, Issue 12: 13861-13877. doi: 10.3934/mbe.2022646
Abstract HTML PDF Cited (2) Viewed (2201)
Research article
A computational study of a stochastic fractal-fractional hepatitis B virus infection incorporating delayed immune reactions via the exponential decay
Maysaa Al Qurashi Saima Rashid Fahd Jarad
2022, Volume 19, Issue 12: 12950-12980. doi: 10.3934/mbe.2022605
Abstract HTML PDF Cited (10) Viewed (2208)
Research article
Incorporating mass vaccination into compartment models for infectious diseases
Glenn Ledder
2022, Volume 19, Issue 9: 9457-9480. doi: 10.3934/mbe.2022440
Abstract HTML PDF Cited (4) Viewed (2379)
Research article
Designing social distancing policies for the COVID-19 pandemic: A probabilistic model predictive control approach
Antonios Armaou Bryce Katch Lucia Russo Constantinos Siettos
2022, Volume 19, Issue 9: 8804-8832. doi: 10.3934/mbe.2022409
Abstract HTML PDF Cited (8) Viewed (2697)
Research article
Decision support model for the patient admission scheduling problem based on picture fuzzy aggregation information and TOPSIS methodology
Shahzaib Ashraf Noor Rehman Saleem Abdullah Bushra Batool Mingwei Lin Muhammad Aslam
2022, Volume 19, Issue 3: 3147-3176. doi: 10.3934/mbe.2022146
Abstract HTML PDF Cited (7) Viewed (2638)
Research article
Cross immunity protection and antibody-dependent enhancement in a distributed delay dynamic model
Vanessa Steindorf Sergio Oliva Jianhong Wu
2022, Volume 19, Issue 3: 2950-2984. doi: 10.3934/mbe.2022136
Abstract HTML PDF Cited (5) Viewed (2894)
Research article
Analysis of yellow fever prevention strategy from the perspective of mathematical model and cost-effectiveness analysis
Bevina D. Handari Dipo Aldila Bunga O. Dewi Hanna Rosuliyana Sarbaz H. A. Khosnaw
2022, Volume 19, Issue 2: 1786-1824. doi: 10.3934/mbe.2022084
Abstract HTML PDF Cited (6) Viewed (3630)
Research article
SIRVVD model-based verification of the effect of first and second doses of COVID-19/SARS-CoV-2 vaccination in Japan
Yuto Omae Yohei Kakimoto Makoto Sasaki Jun Toyotani Kazuyuki Hara Yasuhiro Gon Hirotaka Takahashi
2022, Volume 19, Issue 1: 1026-1040. doi: 10.3934/mbe.2022047
Abstract HTML PDF Cited (9) Viewed (3376)
Research article
Global proprieties of a delayed epidemic model with partial susceptible protection
Abdelheq Mezouaghi Salih Djillali Anwar Zeb Kottakkaran Sooppy Nisar
2022, Volume 19, Issue 1: 209-224. doi: 10.3934/mbe.2022011
Abstract HTML PDF Cited (9) Viewed (2548)
Research article
Basic reinfection number and backward bifurcation
Baojun Song
2021, Volume 18, Issue 6: 8064-8083. doi: 10.3934/mbe.2021400
Abstract HTML PDF Cited (9) Viewed (7900)
Research article
Modelling the potential role of media campaigns on the control of Listeriosis
C. W. Chukwu F. Nyabadza Fatmawati
2021, Volume 18, Issue 6: 7580-7601. doi: 10.3934/mbe.2021375
Abstract HTML PDF Cited (6) Viewed (2822)
Research article
An SIS epidemic model with time delay and stochastic perturbation on heterogeneous networks
Meici Sun Qiming Liu
2021, Volume 18, Issue 5: 6790-6805. doi: 10.3934/mbe.2021337
Abstract HTML PDF Cited (3) Viewed (3112)
Research article
SIR model-based verification of effect of COVID-19 Contact-Confirming Application (COCOA) on reducing infectors in Japan
Yuto Omae Yohei Kakimoto Jun Toyotani Kazuyuki Hara Yasuhiro Gon Hirotaka Takahashi
2021, Volume 18, Issue 5: 6506-6526. doi: 10.3934/mbe.2021323
Abstract HTML PDF Viewed (3784)
Research article
A mathematical model for the dynamics of SARS-CoV-2 virus using the Caputo-Fabrizio operator
Tahir Khan Roman Ullah Gul Zaman Jehad Alzabut
2021, Volume 18, Issue 5: 6095-6116. doi: 10.3934/mbe.2021305
Abstract HTML PDF Cited (21) Viewed (3696)