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Genetic variations in the COVID-19 virus are one of the main causes of the COVID-19 pandemic outbreak in 2020 and 2021. In this article, we aim to introduce a new type of model, a system coupled with ordinary differential equations (ODEs),…

Analysis of PDEs · Mathematics 2022-03-29 Xiaoqian Gong , Benedetto Piccoli

Master equations provide researchers with the ability to track the distribution over possible states of a system. From these equations, we can summarize the temporal dynamics through a method of moments. These distributions and their…

Populations and Evolution · Quantitative Biology 2024-08-13 Mariah C. Boudreau , Jamie A. Cohen , Laurent Hébert-Dufresne

The spatial distributions of diverse facilities are often understood in terms of the optimization of the commute distance or the economic profit. Incorporating more general objective functions into such optimization framework may be useful,…

Physics and Society · Physics 2020-02-27 Mi Jin Lee , Kanghun Kim , Junik Son , Deok-Sun Lee

Continuous-time linear birth-death-immigration (BDI) processes are frequently used in ecology and epidemiology to model stochastic dynamics of the population of interest. In clinical settings, multiple birth-death processes can describe…

Computation · Statistics 2014-01-13 Charles R. Doss , Marc A. Suchard , Ian Holmes , Midori Kato-Maeda , Vladimir N. Minin

Multiple Sclerosis (MS) is a disorder that usually appears in adults in their thirties. It has a prevalence that ranges between 2 and 150 per 100 000. Epidemiological studies of MS have provided hints on possible causes for the disease…

Subcellular Processes · Quantitative Biology 2013-08-23 Laura Facchini , Alberto Bellin , Eleuterio F. Toro

Tuberculosis (TB) is among the main public health challenges in Burundi. The literature lacks mathematical models for key parameter estimates of TB transmission dynamics in Burundi. In this paper, the supectible-exposed-infected-recovered…

Populations and Evolution · Quantitative Biology 2023-04-05 Steve Sibomanaa , Kelly Joelle Gatore Sinigirira , Paterne Gahungu , David Niyukuri

We study the relation between different social behaviors and the onset of epidemics in a model for the dynamics of sexual transmitted diseases. The model considers the society as a system of individual sexuated agents that can be organized…

Adaptation and Self-Organizing Systems · Physics 2009-11-10 Sebastian Goncalves , Marcelo Kuperman , Marcelo Ferreira da Costa Gomes

Heart disease is a leading cause of premature death worldwide, particularly among middle-aged and older adults, with men experiencing a higher prevalence. According to the World Health Organization (WHO), non-communicable diseases,…

Diabetes mellitus is a common disease of human body caused by a group of metabolic disorders where the sugar levels over a prolonged period is very high. It affects different organs of the human body which thus harm a large number of the…

Machine Learning · Computer Science 2019-02-27 Md. Faisal Faruque , Asaduzzaman , Iqbal H. Sarker

Despite being similar in structure, functioning, and size viral pathogens enjoy very different mostly well-defined ways of life. They occupy their hosts for a few days (influenza), for a few weeks (measles), or even lifelong (HCV), which…

Populations and Evolution · Quantitative Biology 2020-05-01 Alexander Lange

In this paper, we model a nonlinear dynamics of infectious diseases transfer. Particularly, we study possible applications to tubercular infection in models with different profiles (peak values) of the population density dependence on…

Non-communicable diseases like diabetes, obesity and certain forms of cancer have been increasing in many countries at alarming levels. A difficulty in the conception of policies to reverse these trends is the identification of the drivers…

Physics and Society · Physics 2016-03-29 Lazaros K. Gallos , Pablo Barttfeld , Shlomo Havlin , Mariano Sigman , Hernan A. Makse

Vector-borne diseases arise from the coupled dynamics of human mobility and mosquito ecology, producing outbreaks shaped by both spatial distributions and temporal patterns of movement. Here we develop a coarse-grained hub--leaf reduction…

Populations and Evolution · Quantitative Biology 2025-08-29 Bibandhan Poudyal , Gourab Ghoshal

Epidemic models are invaluable tools to understand and implement strategies to control the spread of infectious diseases, as well as to inform public health policies and resource allocation. However, current modeling approaches have…

Methodology · Statistics 2026-05-12 Caitlin Ward , Rob Deardon , Alexandra M. Schmidt

Among the realistic ingredients to be considered in the computational modeling of infectious diseases, human mobility represents a crucial challenge both on the theoretical side and in view of the limited availability of empirical data. In…

Physics and Society · Physics 2010-02-04 Duygu Balcan , Vittoria Colizza , Bruno Goncalves , Hao Hu , Jose J. Ramasco , Alessandro Vespignani

Analysis of the cell population generally provides average information about viral infection in a host whereas the intracellular model captures the individual cellular responses. The primary goal of this study is to comprehensively analyze…

Dynamical Systems · Mathematics 2025-05-20 Rupchand Sutradhar , D C Dalal

Tuberculosis (TB) is a infectious global health challenge. Chest X-rays are a standard method for TB screening, yet many countries face a critical shortage of radiologists capable of interpreting these images. Machine learning offers an…

Computer Vision and Pattern Recognition · Computer Science 2025-03-04 Denis Musinguzi , Andrew Katumba , Sudi Murindanyi

Triple-negative breast cancer (TNBC) is an aggressive disease with high mortality and limited treatment options, due to its lack of receptors that have targeted therapies available. The tumor microenvironment (TME) plays a critical role in…

Quantitative Methods · Quantitative Biology 2026-01-21 Kyle Adams , Julia Bruner , Salma Ameziane , Ashley Brown , Mohammed Gbadamosi , Helen Moore

We propose to use Twitter data as social-spatial sensors. This study deals with the question whether research papers on certain diseases are perceived by people in regions (worldwide) that are especially concerned by the diseases. Since…

Digital Libraries · Computer Science 2021-01-27 Lutz Bornmann , Robin Haunschild , Vanash M. Patel

A current challenge for disease modeling and public health is understanding pathogen dynamics across scales since their ecology and evolution ultimately operate on several coupled scales. This is particularly true for vector-borne diseases,…

Populations and Evolution · Quantitative Biology 2019-12-19 Hayriye Gulbudak