Special Issue "Numerical Simulation and Control for Disease"

A special issue of Processes (ISSN 2227-9717). This special issue belongs to the section "Computational Methods".

Deadline for manuscript submissions: 31 December 2020.

Special Issue Editors

Dr. Sunmi Lee
Website
Guest Editor
Department of applied mathematics, Kyung Hee university, Yongin 17104, Korea
Interests: mathematical modeling and numerical simulations of epidemiological systems with an emphasis on the use of optimal control theory, and computational stochastic modeling using agent-based models and network models in infectious diseases transmission dynamics
Prof. Dr. Yongkuk Kim
Website
Co-Guest Editor
Department of Mathematics, Kyungpook National University, Daegu, 41566, South Korea
Interests: Mathematical modeling and computation in Biology, in particular, epidemiology and medical problems. Mathematical models include differential equations and related stochastic processes.

Special Issue Information

Emerging and re-emerging infectious diseases are posing serious problems. The immediate and effective implementation of control measures is of concern for public health officials all around the world. Many critical factors increase the potential risks of emerging and re-emerging infectious diseases. These critical factors include climate change related to global warming and people’s mobility, which facilitate the expansion of many infectious diseases and persistence in human populations. Due to the extremely complex nature of disease transmission dynamics, developing more accurate models has become challenging.

Mathematical modeling is a useful tool for studying the transmission dynamics and control of communicable human diseases. Various infectious diseases, such as influenza, measles, tuberculosis, Ebola, Zika, dengue, malaria, SARS-CoV, MERS-CoV, COVID 19, etc., have been analyzed using statistical and mathematical modeling and numerical simulations. In particular, the role of early interventions using statistical/mathematical modeling is critical for mitigating the spread of emerging and re-emerging infectious diseases. In addition, the assessment of the rapid prevention and efficient countermeasures is increasingly important for mitigating the morbidity and mortality impact of emerging or re-emerging infectious diseases, particularly on those individuals at the highest risk of developing severe disease. 

This Special Issue focuses on innovative mathematical modeling and numerical simulations for control of emerging and re-emerging infectious diseases and welcomes research articles dealing with all such aspects.

Dr. Sunmi Lee
Prof. Dr. Yongkuk Kim
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com 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 papers will be 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. Processes is an international peer-reviewed open access monthly 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 1500 CHF (Swiss Francs). Please note that for papers submitted after 31 December 2020 an APC of 2000 CHF applies. 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.

Keywords

  • Emerging or re-emerging infectious diseases modeling;
  • Mathematical and statistical modeling;
  • Numerical methods and simulations;
  • Ordinary differential equations, partial differential equations, integro-differential equations;
  • Stochastic processes, network models, agent-based models;
  • Advanced and conventional optimal control methods;
  • Cost-effectiveness analysis of countermeasures and interventions.

Published Papers (2 papers)

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Research

Open AccessArticle
Mathematical Model Describing HIV Infection with Time-Delayed CD4 T-Cell Activation
Processes 2020, 8(7), 782; https://doi.org/10.3390/pr8070782 - 04 Jul 2020
Abstract
A mathematical model composed of two non-linear differential equations that describe the population dynamics of CD4 T-cells in the human immune system, as well as viral HIV viral load, is proposed. The invariance region is determined, classical equilibrium stability analysis is performed by [...] Read more.
A mathematical model composed of two non-linear differential equations that describe the population dynamics of CD4 T-cells in the human immune system, as well as viral HIV viral load, is proposed. The invariance region is determined, classical equilibrium stability analysis is performed by using the basic reproduction number, and numerical simulations are carried out to illustrate stability results. Thereafter, the model is modified with a delay term, describing the time required for CD4 T-cell immunological activation. This generates a two-dimensional integro-differential system, which is transformed into a system with three ordinary differential equations. For the new model, equilibriums are determined, their local stability is examined, and results are studied by way of numerical simulation. Full article
(This article belongs to the Special Issue Numerical Simulation and Control for Disease)
Open AccessArticle
A Two-Patch Mathematical Model for Temperature-Dependent Dengue Transmission Dynamics
Processes 2020, 8(7), 781; https://doi.org/10.3390/pr8070781 - 03 Jul 2020
Abstract
Dengue fever has been a threat to public health not only in tropical regions but non-tropical regions due to recent climate change. Motivated by a recent dengue outbreak in Japan, we develop a two-patch model for dengue transmission associated with temperature-dependent parameters. The [...] Read more.
Dengue fever has been a threat to public health not only in tropical regions but non-tropical regions due to recent climate change. Motivated by a recent dengue outbreak in Japan, we develop a two-patch model for dengue transmission associated with temperature-dependent parameters. The two patches represent a park area where mosquitoes prevail and a residential area where people live. Based on climate change scenarios, we investigate the dengue transmission dynamics between the patches. We employ an optimal control method to implement proper control measures in the two-patch model. We find that blockage between two patches for a short-term period is effective in a certain degree for the disease control, but to obtain a significant control effect of the disease, a long-term blockage should be implemented. Moreover, the control strategies such as vector control and transmission control are very effective, if they are implemented right before the summer outbreak. We also investigate the cost-effectiveness of control strategies such as vaccination, vector control and virus transmission control. We find that vector control and virus transmission control are more cost-effective than vaccination in case of Korea. Full article
(This article belongs to the Special Issue Numerical Simulation and Control for Disease)
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