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Related papers: Deterministic Models in Epidemiology: From Modelin…

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By linking conceptual theories with observed data, generative models can support reasoning in complex situations. They have come to play a central role both within and beyond statistics, providing the basis for power analysis in molecular…

Methodology · Statistics 2022-08-15 Kris Sankaran , Susan P. Holmes

Religions are among the most consequential social institutions, shaping collective identities, moral norms, and political organization across societies and historical periods. Nevertheless, despite extensive scholarship describing…

Physics and Society · Physics 2026-01-19 Bilge Taskin , Teddy Lazebnik

Simulating the spread of infectious diseases in human communities is critical for predicting the trajectory of an epidemic and verifying various policies to control the devastating impacts of the outbreak. Many existing simulators are based…

Populations and Evolution · Quantitative Biology 2021-04-22 Arash Mehrjou , Ashkan Soleymani , Amin Abyaneh , Samir Bhatt , Bernhard Schölkopf , Stefan Bauer

Why are the epidemic patterns of COVID-19 so different among different cities or countries which are similar in their populations, medical infrastructures, and people's behavior? Why are forecasts or predictions made by so-called experts…

Populations and Evolution · Quantitative Biology 2020-06-03 Hisashi Kobayashi

In this work, we introduce a quantum-inspired epidemic model to study the dynamics of an infectious disease in a population divided into compartments. By treating the healthy population as a large reservoir, we construct a framework based…

Populations and Evolution · Quantitative Biology 2025-03-19 Fabio Bagarello , Francesco Gargano , Polina Khrennikova

The science of networks has revolutionised research into the dynamics of interacting elements. It could be argued that epidemiology in particular has embraced the potential of network theory more than any other discipline. Here we review…

This paper introduces a new optimal control model to describe and control the dynamics of infectious diseases. In the present model, the average time of isolation (i.e. hospitalization) of infectious population is the main time-dependent…

Optimization and Control · Mathematics 2015-05-06 Robin J. Evans , Musa Mammadov

Evidence-based knowledge of infectious disease burden, including prevalence, incidence, severity and transmission, in different population strata and locations, and possibly in real time, is crucial to the planning and evaluation of public…

Methodology · Statistics 2018-08-14 Daniela De Angelis , Anne M. Presanis

We consider the effects of noise on a model of epidemic outbreaks, where the outbreaks appear. randomly. Using a constructive transition approach that predicts large outbreaks, prior to their occurrence, we derive an adaptive control.…

Chaotic Dynamics · Physics 2009-11-11 I. B. Schwartz , L. Billings , E. M. Bollt

Understanding dynamics of an infectious disease helps in designing appropriate strategies for containing its spread in a population. Recent mathematical models are aimed at studying dynamics of some specific types of infectious diseases. In…

Dynamical Systems · Mathematics 2015-02-05 P. Raja Sekhara Rao , M. Naresh Kumar

This study investigates the utilization of various mathematical models for comprehending and managing outbreaks of infectious diseases, with a specific focus on how different distributions of incubation times influence predictions regarding…

Adaptation and Self-Organizing Systems · Physics 2024-03-08 Eric Rozan , Marcelo N Kuperman , Sebastian Bouzat

The population dynamics underlying the diffusion of ideas hold many qualitative similarities to those involved in the spread of infections. In spite of much suggestive evidence this analogy is hardly ever quantified in useful ways. The…

The spreading of epidemics is very much determined by the structure of the contact network, which may be impacted by the mobility dynamics of the individuals themselves. In confined scenarios where a small, closed population spends most of…

Physics and Society · Physics 2018-05-09 Clara Granell , Peter J. Mucha

Viruses constantly undergo mutations with genomic changes. The propagation of variants of viruses is an interesting problem. We perform numerical simulations of the microscopic epidemic model based on network theory for the spread of…

Populations and Evolution · Quantitative Biology 2025-01-14 Yutaka Okabe , Akira Shudo

Epidemiological models increasingly rely on self-reported behavioral data such as vaccination status, mask usage, and social distancing adherence to forecast disease transmission and assess the impact of non-pharmaceutical interventions…

Computer Science and Game Theory · Computer Science 2026-02-24 Yiqi Su , Christo Kurisummoottil Thomas , Walid Saad , Bud Mishra , Naren Ramakrishnan

Stochastic epidemic models, generally more realistic than deterministic counterparts, have often been seen too complex for rigorous mathematical analysis because of level of details it requires to comprehensively capture the dynamics of…

Populations and Evolution · Quantitative Biology 2018-06-13 Xin Liu , Anuj Mubayi , Dominik Reinhold , Liu Zhu

Pandemic management requires that scientists rapidly formulate and analyze epidemiological models in order to forecast the spread of disease and the effects of mitigation strategies. Scientists must modify existing models and create novel…

Programming Languages · Computer Science 2022-10-12 Sophie Libkind , Andrew Baas , Micah Halter , Evan Patterson , James Fairbanks

Infectious diseases occur when pathogens from other individuals or animals infect a person, resulting in harm to both individuals and society as a whole. The outbreak of such diseases can pose a significant threat to human health. However,…

Populations and Evolution · Quantitative Biology 2024-10-24 Ghazaleh Babanejaddehaki , Aijun An , Manos Papagelis

The paper proposes to analyze epidemiological data using regression models which enable subject-matter (epidemiological) interpretation of such data whether with uncorrelated or correlated predictors. To this end, response functions should…

Applications · Statistics 2020-02-20 Anatoly N. Varaksin , Vladimir G. Panov

We introduce a kinetic model that couples the movement of a population of individuals with the dynamics of a pathogen in the same population. We consider that transmission occurs when a susceptible and an infectious individual are…

Analysis of PDEs · Mathematics 2026-01-30 Carolina Strecht-Fernandes , Fabio A. C. C. Chalub
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