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The modeling of the spreading of communicable diseases has experienced significant advances in the last two decades or so. This has been possible due to the proliferation of data and the development of new methods to gather, mine and…

Physics and Society · Physics 2020-09-09 Alberto Aleta , Guilherme Ferraz de Arruda , Yamir Moreno

The recent outbreak of COVID-19 has affected millions of individuals around the world and has posed a significant challenge to global healthcare. From the early days of the pandemic, it became clear that it is highly contagious and that…

Social and Information Networks · Computer Science 2021-04-13 George Panagopoulos , Giannis Nikolentzos , Michalis Vazirgiannis

In this work, we introduce a compartmental advection-diffusion network model to describe the propagation of stress in a population situated in two interconnected spatial zones during a disaster situation. The model accounts for interactions…

Analysis of PDEs · Mathematics 2024-09-24 Kamal Khalil , Irmand Leblond Mikiela Ndzoumbou

The individual-based models constitute a set of widely implemented tools to analyze the incidence of individuals heterogeneities in the spread of an infectious disease. In this work we focus our attention on human contacts heterogeneities…

Populations and Evolution · Quantitative Biology 2011-04-27 A. D. Medus , C. O. Dorso

Epidemics on complex networks is a widely investigated topic in the last few years, mainly due to the last pandemic events. Usually, real contact networks are dynamic, hence much effort has been invested in studying epidemics on evolving…

Physics and Society · Physics 2022-05-18 Hillel Sanhedrai , Shlomo Havlin

In statistical models for the analysis of time-to-event data, individual heterogeneity is usually accounted for by means of one or more random effects, also known as frailties. In the vast majority of the literature, the random effect is…

Methodology · Statistics 2023-03-10 Maximilian Bardo , Steffen Unkel

The dynamics of contact networks and epidemics of infectious diseases often occur on comparable time scales. Ignoring one of these time scales may provide an incomplete understanding of the population dynamics of the infection process. We…

Populations and Evolution · Quantitative Biology 2021-02-09 Luis E C Rocha , Naoki Masuda

Malware attacks in today's vast digital ecosystem pose a serious threat. Understanding malware propagation dynamics and designing effective control strategies are therefore essential. In this work, we propose a generic SEIRV model…

Cryptography and Security · Computer Science 2026-03-05 Samiran Ghosh , V Anil Kumar

Spatio-temporal pathogen spread is often partially observed at the metapopulation scale. Available data correspond to proxies and are incomplete, censored and heterogeneous. Moreover, representing such biological systems often leads to…

Populations and Evolution · Quantitative Biology 2023-12-04 Gaël Beaunée , Pauline Ezanno , Alain Joly , Pierre Nicolas , Elisabeta Vergu

The emergence or adaptation of pathogens may lead to epidemics, highlighting the need for a thorough understanding of pathogen evolution. The tradeoff hypothesis suggests that virulence evolves to reach an optimal transmission intensity…

Populations and Evolution · Quantitative Biology 2024-12-09 Daniel A. M. Villela

The outbreak of COVID-19 in 2020 has led to a surge in the interest in the mathematical modeling of infectious diseases. Disease transmission may be modeled as compartmental models, in which the population under study is divided into…

Populations and Evolution · Quantitative Biology 2020-10-27 Malú Grave , Alvaro L. G. A. Coutinho

The SARS-CoV-2 infectious outbreak has rapidly spread across the globe and precipitated varying policies to effectuate physical distancing to ameliorate its impact. In this study, we propose a new hybrid machine learning model, SIRNet, for…

Populations and Evolution · Quantitative Biology 2020-04-23 Nicholas Soures , David Chambers , Zachariah Carmichael , Anurag Daram , Dimpy P. Shah , Kal Clark , Lloyd Potter , Dhireesha Kudithipudi

We develop Graph-Coupled Hidden Markov Models (GCHMMs) for modeling the spread of infectious disease locally within a social network. Unlike most previous research in epidemiology, which typically models the spread of infection at the level…

Social and Information Networks · Computer Science 2012-10-19 Wen Dong , Alex Pentland , Katherine A. Heller

In this chapter, an application of Mathematical Epidemiology to crop vector-borne diseases is presented to investigate the interactions between crops, vectors, and virus. The main illustrative example is the cassava mosaic disease (CMD).…

Populations and Evolution · Quantitative Biology 2019-12-12 Michael Chapwanya , Yves Dumont

Epidemics in large complete networks is well established. In contrast, we consider epidemics in non-complete networks. We establish the fluid limit macroscopic dynamics of a multi-virus spread over a multipartite network as the number of…

Social and Information Networks · Computer Science 2013-06-27 Augusto Santos , José M. F. Moura , João Xavier

We introduce a Reed-Frost epidemic model with recursive contact tracing and asymptomatic transmission. This generalizes the branching-process model introduced by the authors in a previous work [arxiv:2004.07237] to finite populations and…

Statistical Mechanics · Physics 2021-08-18 Saumya Shivam , Vir B. Bulchandani , S. L. Sondhi

Human mobility is a key component of large-scale spatial-transmission models of infectious diseases. Correctly modeling and quantifying human mobility is critical for improving epidemic control policies, but may be hindered by incomplete…

Increasing rates of global trade and travel, as well as changing climatic patterns, have led to more frequent outbreaks of plant disease epidemics worldwide. Mathematical modelling is a key tool in predicting where and how these new threats…

Populations and Evolution · Quantitative Biology 2019-11-28 Frédéric Fabre , Jérôme Coville , Nik J. Cunniffe

This paper presents the development of a new continuous forest fire model implemented as a weighted local small-world network approach. This new approach was designed to simulate fire patterns in real, heterogeneous landscapes. The wildland…

Atmospheric and Oceanic Physics · Physics 2013-07-02 F. Aguayo , A. Fuentes , J. -P. Clerc , B. Porterie

Recent advances in data collection have facilitated the access to time-resolved human proximity data that can conveniently be represented as temporal networks of contacts between individuals. While this type of data is fundamental to…

Physics and Society · Physics 2018-08-01 Anna Sapienza , Alain Barrat , Ciro Cattuto , Laetitia Gauvin