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Networks of contacts capable of spreading infectious diseases are often observed to be highly heterogeneous, with the majority of individuals having fewer contacts than the mean, and a significant minority having relatively very many…

Physics and Society · Physics 2016-12-21 César Parra-Rojas , Thomas House , Alan J. McKane

We define and study an open stochastic SIR (Susceptible -- Infected -- Removed) model on a graph in order to describe the spread of an epidemic on a cattle trade network with epidemiological and demographic dynamics occurring over the same…

Probability · Mathematics 2019-03-28 Pierre Montagnon

We extend the classical Susceptible-Infected-Recovered (SIR) model to a network-based framework where the degree distribution of nodes follows a Poisson distribution. This extension incorporates an additional parameter representing the mean…

Populations and Evolution · Quantitative Biology 2025-01-03 Josephine K. Wairimu , Andrew Gothard , Grzegorz A. Rempala

can evolve simultaneously. For the information-driven adaptive process, susceptible (infected) individuals who have abilities to recognize the disease would break the links of their infected (susceptible) neighbors to prevent the epidemic…

Physics and Society · Physics 2015-05-20 Xiu-Xiu Zhan , Chuang Liu , Gui-Quan Sun , Zi-Ke Zhang

We study the dynamics of a spatially structured model of worldwide epidemics and formulate predictions for arrival times of the disease at any city in the network. The model is comprised of a system of ordinary differential equations…

Pattern Formation and Solitons · Physics 2018-02-14 Lawrence M. Chen , Matt Holzer , Anne Shapiro

Individual-based models of contagious processes are useful for predicting epidemic trajectories and informing intervention strategies. In such models, the incorporation of contact network information can capture the non-randomness and…

Populations and Evolution · Quantitative Biology 2023-11-09 Maxwell H. Wang , Jukka-Pekka Onnela

In this work, we review the figures used to characterize an epidemic outbreak most. Particular attention is drawn to epidemic spreading at time-varying transition rates. A time-varying SIR-like model is used to describe the epidemic…

Populations and Evolution · Quantitative Biology 2020-11-06 Hernán De Battista , José García-Clúa , Sebastián Nuñez , Fernando Inthamoussou , Fabricio Garelli

The purpose of this work is to give a contribution to the understanding of the COVID-19 contagion in Italy. To this end, we developed a modified Susceptible-Infected-Recovered (SIR) model for the contagion, and we used official data of the…

Physics and Society · Physics 2020-04-01 Giuseppe C. Calafiore , Carlo Novara , Corrado Possieri

The emergence and spread of deadly pandemics has repeatedly occurred throughout history, causing widespread infections and loss of life. The rapid spread of pandemics have made governments across the world adopt a range of actions,…

Populations and Evolution · Quantitative Biology 2024-01-15 Marianna Karapitta , Andreas Kasis , Charithea Stylianides , Kleanthis Malialis , Panayiotis Kolios

We present an early version of a Susceptible-Exposed-Infected-Recovered-Deceased (SEIRD) mathematical model based on partial differential equations coupled with a heterogeneous diffusion model. The model describes the spatio-temporal spread…

We propose a new causal inference framework to learn causal effects from multiple, decentralized data sources in a federated setting. We introduce an adaptive transfer algorithm that learns the similarities among the data sources by…

Machine Learning · Computer Science 2023-01-03 Thanh Vinh Vo , Arnab Bhattacharyya , Young Lee , Tze-Yun Leong

The COVID-19 pandemic has brought forth the importance of epidemic forecasting for decision makers in multiple domains, ranging from public health to the economy as a whole. While forecasting epidemic progression is frequently…

Machine Learning · Computer Science 2022-07-21 Alexander Rodríguez , Harshavardhan Kamarthi , Pulak Agarwal , Javen Ho , Mira Patel , Suchet Sapre , B. Aditya Prakash

In this study, a new and natural way of constructing a stochastic Susceptible-Infected-Susceptible (SIS) model is proposed. This approach is natural in the sense that the disease transmission rate, $\beta$, is substituted with a generic,…

Probability · Mathematics 2025-11-07 Berk Tan Perçin

Diffusion models are loosely modelled based on non-equilibrium thermodynamics, where \textit{diffusion} refers to particles flowing from high-concentration regions towards low-concentration regions. In statistics, the meaning is quite…

Machine Learning · Computer Science 2023-12-19 Inga Strümke , Helge Langseth

This study develops and analyzes an extended Susceptible, Infected, Hospitalized and Recovered (SIHR) model incorporating time dependent control functions to capture preventive measures (e.g., distancing, mask use) and resource limited…

Populations and Evolution · Quantitative Biology 2025-10-01 Liban Ismail , Yahyeh Souleiman , Saraless Nadarajah , Abdisalam Hassan

We propose a new paradigm to design a network-based self-adaptive epidemic model that relies on the interplay between the network and its line graph. We implement this proposal on a Susceptible-Infected-Susceptible model in which both nodes…

Adaptation and Self-Organizing Systems · Physics 2024-03-05 Paolo Bartesaghi , Gian Paolo Clemente , Rosanna Grassi

Disease forecasting models typically rely on a single data stream, making models brittle when histories are short or noisy. Recent top-performing models have shown that synthesizing multiple reporting systems for the same disease improves…

Machine Learning · Computer Science 2026-05-27 Lauren J Beesley , Alexander C Murph , Dave Osthus , Lauren A Castro

In this paper, we use a linear birth and death process with immigration to model infectious disease propagation when contamination stems from both person-to-person contact and contact with the environment. Our aim is to estimate the…

Statistics Theory · Mathematics 2024-01-11 Ibrahim Bouzalmat , Benoîte de Saporta , Solym M. Manou-Abi

In this paper, we study the dynamics of epidemic processes taking place in temporal and adaptive networks. Building on the activity-driven network model, we propose an adaptive model of epidemic processes, where the network topology…

Social and Information Networks · Computer Science 2018-02-27 Masaki Ogura , Victor M. Preciado , Naoki Masuda

In this paper, we aim to understand the transient dynamics of a susceptible-infected (SI) epidemic spreading process on a large network. The SI model has been largely overlooked in the literature, while it is naturally a better fit for…

Social and Information Networks · Computer Science 2019-05-21 Chul-Ho Lee , Srinivas Tenneti , Do Young Eun
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