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This study presents a neural network-enhanced approach to modeling disease spread dynamics over time and space. Neural networks are used to estimate time-varying parameters, with two calibration methods explored: Approximate Bayesian…

定量方法 · 定量生物学 2024-10-29 Randy L. Caga-anan

As global living standards improve and medical technology advances, many infectious diseases have been effectively controlled. However, certain diseases, such as the recent COVID-19 pandemic, continue to pose significant threats to public…

数值分析 · 数学 2025-02-24 Ayesha Baig , Li Zhouxin

Infectious diseases remain one of the major causes of human mortality and suffering. Mathematical models have been established as an important tool for capturing the features that drive the spread of the disease, predicting the progression…

In this study, we present an integro-differential model to simulate the local spread of infections. The model incorporates a standard susceptible-infected-recovered (\textit{SIR}-) model enhanced by an integral kernel, allowing for…

动力系统 · 数学 2023-07-24 Moritz Schäfer , Peter Heidrich , Thomas Götz

In this paper, we propose a model predictive control (MPC) method for real-time intervention of spreading processes, such as epidemics and wildfire, over large-scale networks. The goal is to allocate budgeted resources each time step to…

最优化与控制 · 数学 2022-10-31 Ruigang Wang , Armaghan Zafar , Ian R. Manchester

Objectives: Our research adopts computational techniques to analyze disease outbreaks weekly over a large geographic area while maintaining local-level analysis by incorporating relevant high-spatial resolution cultural and environmental…

机器学习 · 计算机科学 2024-11-12 Scott Pezanowski , Etien Luc Koua , Joseph C Okeibunor , Abdou Salam Gueye

We study the qualitative properties of a spatial diffusive heterogeneous SIR model, that appears in mathematical epidemiology to describe the spread of an infectious disease in a population. The model we consider consists in a system of…

偏微分方程分析 · 数学 2020-05-15 Romain Ducasse

We investigate a model for spatial epidemics explicitly taking into account bi-directional movements between base and destination locations on individual mobility networks. We provide a systematic analysis of generic dynamical features of…

物理与社会 · 物理学 2012-03-07 Vitaly Belik , Theo Geisel , Dirk Brockmann

We propose an extension of the classical susceptible infectious recovered (SIR) model that incorporates the effects of spatial propagation of an epidemic through a small number of additional compartments. The model is designed to capture…

数值分析 · 数学 2026-03-02 M. Soledad Aronna , Mariana Bergonzi , Ernesto Kofman

Nowadays, epidemic models provide an appropriate tool for describing the propagation of biological viruses in human or animal populations, or rumours and other kinds of information in social networks and malware in both computer and ad hoc…

最优化与控制 · 数学 2020-07-21 Vladislav Taynitskiy , Elena Gubar , Denis Fedyanin , Ilya Petrov , Quanyan Zhu

This paper introduces a microscopic approach to model epidemics, which can explicitly consider the consequences of individual's decisions on the spread of the disease. We first formulate a microscopic multi-agent epidemic model where every…

多智能体系统 · 计算机科学 2020-04-28 Changliu Liu

Modelling epidemics is crucial for understanding the emergence, transmission, impact and control of diseases. Spatial individual-level models (ILMs) that account for population heterogeneity are a useful tool, accounting for factors such as…

统计计算 · 统计学 2024-05-03 Chinmoy Roy Rahul , Rob Deardon

The study of infectious disease propagation is essential for understanding and controlling epidemics. One of the most useful tools for gaining insights into the spread of infectious diseases is mathematical modelling. In terms of…

Since infectious pathogens start spreading into a susceptible population, mathematical models can provide policy makers with reliable forecasts and scenario analyses, which can be concretely implemented or solely consulted. In these complex…

数值分析 · 数学 2024-04-30 Giovanni Ziarelli , Nicola Parolini , Marco Verani

Modelling epidemics via classical population-based models suffers from shortcomings that so-called individual-based models are able to overcome, as they are able to take heterogeneity features into account, such as super-spreaders, and…

最优化与控制 · 数学 2022-05-16 C. Courtès , E. Franck , K. Lutz , L. Navoret , Y. Privat

The application of machine learning (ML) techniques span a vast spectrum ranging from speech, face and character recognition, medical diagnosis, anomaly detection in data to the general classification, prediction, and regression problems.…

社会与信息网络 · 计算机科学 2020-05-05 Richa Tripathi , Amit Reza , Dinesh Garg

Resource diffusion is an ubiquitous phenomenon, but how it impacts epidemic spreading has received little study. We propose a model that couples epidemic spreading and resource diffusion in multiplex networks. The spread of disease in a…

物理与社会 · 物理学 2018-06-13 Xiaolong Chen , Wei Wang , Shimin Cai , H. Eugene Stanley , Lidia A. Braunstein

The size and shape of the region affected by an outbreak is relevant to understand the dynamics of a disease and help to organize future actions to mitigate similar events. A simple extension of the SIR model is considered, where agents…

统计力学 · 物理学 2023-05-03 Paulo Murilo C. de Oliveira , Daniel A. Stariolo , Jeferson J. Arenzon

Abridged abstract: Inert interactions between randomly moving entities and spatial disorder play a crucial role in quantifying the diffusive properties of a system. These interactions affect only the movement of the entities, and examples…

统计力学 · 物理学 2022-09-20 Seeralan Sarvaharman , Luca Giuggioli

Physical contact or proximity is often a necessary condition for the spread of infectious diseases. Common destinations, typically referred to as hubs or points of interest, are arguably the most effective spots for the type of disease…

信息论 · 计算机科学 2025-02-25 Ke Feng , Martin Haenggi