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Parameter inference and state estimation in stochastic and partially observed biological systems remain major problems in mathematical biology. In this work, we introduce a two-dimensional lattice graph model for the spread of infectious…

Quantitative Methods · Quantitative Biology 2026-05-29 Ihtisham Ul Haq , Serge Richard

We develop a theoretical approach that uses physiochemical kinetics modelling to describe cell population dynamics upon progression of viral infection in cell culture, which results in cell apoptosis (programmed cell death) and necrosis…

Quantitative Methods · Quantitative Biology 2016-12-30 Sergii Domanskyi , Joshua E. Schilling , Vyacheslav Gorshkov , Sergiy Libert , Vladimir Privman

In this paper, we consider epidemiological networks which are used for modeling the transmission of contagious diseases through a population. Specifically, we study the so-called social sensors problem: given an epidemiological network, can…

Social and Information Networks · Computer Science 2021-12-30 Shubhajit Sen , Samhita Pal , Srijan Sengupta

Global strategies to contain a pandemic, such as social distancing and protective measures, are designed to reduce the overall transmission rate between individuals. Despite such measures, essential institutions, including hospitals,…

Populations and Evolution · Quantitative Biology 2022-09-07 Roberto Morán-Tovar , Henning Gruell , Florian Klein , Michael Lässig

This article introduces epidemia, an R package for Bayesian, regression-oriented modeling of infectious diseases. The implemented models define a likelihood for all observed data while also explicitly modeling transmission dynamics: an…

In this paper, we study the problem of parameter estimation in a sensor network, where the measurements and updates of some sensors might be arbitrarily manipulated by adversaries. Despite the presence of such misbehaviors, normally…

Systems and Control · Electrical Eng. & Systems 2023-06-06 Jiaqi Yan , Kuo Li , Hideaki Ishii

We study the Susceptible-Infectious-Susceptible (SIS) model on arbitrary networks. The well-established pair approximation treats neighboring pairs of nodes exactly while making a mean field approximation for the rest of the network. We…

Social and Information Networks · Computer Science 2026-05-05 George Cantwell , Cristopher Moore

We create a network model to study the spread of an epidemic through physically proximate and accidental daily human contacts in a city, and simulate outcomes for two kinds of agents - poor and non-poor. Under non-intervention, peak…

Physics and Society · Physics 2021-01-27 Anand Sahasranaman , Henrik Jeldtoft Jensen

In epidemic modeling, the term infection strength indicates the ratio of infection rate and cure rate. If the infection strength is higher than a certain threshold -- which we define as the epidemic threshold - then the epidemic spreads…

Physics and Society · Physics 2012-12-19 Faryad Darabi Sahneh , Caterina Scoglio , Fahmida N. Chowdhury

Compartmental epidemic models are among the most popular ones in epidemiology. For the parameters (e.g., the transmission rate) characterizing these models, the majority of researchers simplify them as constants, while some others manage to…

Machine Learning · Statistics 2020-06-02 Wenjie Zheng

Epidemic spreading and cascading failure are two important dynamical processes over complex networks. They have been investigated separately for a long history. But in the real world, these two dynamics sometimes may interact with each…

Physics and Society · Physics 2015-06-19 Lurong Jiang , Xinyu Jin , Yongxiang Xia , Bo Ouyang , Duanpo Wu

This paper proposes a Bayesian method for estimating the parameters of a normal distribution when only limited summary statistics (sample mean, minimum, maximum, and sample size) are available. To estimate the parameters of a normal…

Methodology · Statistics 2024-11-21 Tomoki Matsumoto

One of the most significant challenges in combating against the spread of infectious diseases was the difficulty in estimating the true magnitude of infections. Unreported infections could drive up disease spread, making it very hard to…

Social and Information Networks · Computer Science 2025-02-04 Jiaming Cui , Bijaya Adhikari , Arash Haddadan , A S M Ahsan-Ul Haque , Jilles Vreeken , Anil Vullikanti , B. Aditya Prakash

In this chapter, we focus on the problem of containing the spread of diseases taking place in both temporal and adaptive networks (i.e., networks whose structure `adapts' to the state of the disease). We specifically focus on the problem of…

Social and Information Networks · Computer Science 2019-03-19 Masaki Ogura , Victor M. Preciado

Pathogen introduction in plant communities can cause serious impact and biodiversity losses that may take long time to manage and restore. Effective control of epidemic spreading in the wild is a problem of paramount importance, because of…

Populations and Evolution · Quantitative Biology 2022-06-15 Ignacio Taguas , José A. Capitán , Juan C. Nuño

Epidemic control frequently relies on adjusting interventions based on prevalence. But designing such policies is a highly non-trivial problem due to uncertain intervention effects, costs and the difficulty of quantifying key transmission…

Populations and Evolution · Quantitative Biology 2025-09-16 Giovanni Pugliese Carratelli , Xiaodong Cheng , Kris V. Parag , Ioannis Lestas

Despite extensive work on the interplay between traffic dynamics and epidemic spreading, the control of epidemic spreading by routing strategies has not received adequate attention. In this paper, we study the impact of efficient routing…

Physics and Society · Physics 2016-11-23 Han-Xin Yang , Zhi-Xi Wu

The growing amount of applications that generate vast amount of data in short time scales render the problem of partial monitoring, coupled with prediction, a rather fundamental one. We study the aforementioned canonical problem under the…

Data Structures and Algorithms · Computer Science 2016-08-02 Michalis Kallitsis , Stilian Stoev , George Michailidis

A simple, but ``classical``, stochastic model for epidemic spread in a finite, but large, population is studied. The progress of the epidemic can be divided into three different phases that requires different tools to analyse. Initially the…

Populations and Evolution · Quantitative Biology 2018-05-29 Åke Svensson

Epidemic outbreaks pose significant challenges to public health and socio-economic stability, necessitating a comprehensive understanding of disease transmission dynamics and effective control strategies. This article discusses the…

Physics and Society · Physics 2023-10-20 Sourin Chatterjee , Ahad N. Zehmakan , Sujay Rastogi
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