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In this paper, we propose a mathematical framework that governs the evolution of epidemic dynamics, encompassing both intra-population dynamics and inter-population mobility within a metapopulation network. By linearizing this dynamical…

物理与社会 · 物理学 2025-05-05 Yazdan Babazadeh , Amin Safaeesirat , Fakhteh Ghanbarnejad

Metapopulation models have traditionally assessed epidemic dynamics by emphasizing local in situ interactions within defined subpopulations, often neglecting transmission occurring during mobility phases in itinere. Here, we extend the…

While most existing epidemic models focus on the influence of isolated factors, infectious disease transmission is inherently shaped by the complex interplay of multiple interacting elements. To better capture real-world dynamics, it is…

物理与社会 · 物理学 2025-04-18 Guangyuan Mei , Yao Cai , Su-Su Zhang , Ying Huang , Chuang Liu , Xiu-Xiu Zhan

We investigate the role of migration patterns on the spread of epidemics in complex networks. We enhance the SIS-diffusion model on metapopulations to a nonlinear diffusion. Specifically, individuals move randomly over the network but at a…

种群与进化 · 定量生物学 2026-04-16 Jordi Ripoll , Albert Avinyó , Marta Pellicer , Joan Saldaña

The main aim to build models capable of simulating the spreading of infectious diseases is to control them. And along this way, the key to find the optimal strategy for disease control is to obtain a large number of simulations of disease…

社会与信息网络 · 计算机科学 2022-04-22 Ting Wang , Gui-Yun Li , Xin-Hui Li , Chi-Chun Zhou , Yuan-Yuan Wang , Li-Juan Li , Yan-Ting Yang

Human mobility, contact patterns, and their interplay are key aspects of our social behavior that shape the spread of infectious diseases across different regions. In the light of new evidence and data sets about these two elements,…

his paper describes and analyzes the spatial spread of tuberculosis (TB) on complex metapopulation, that is, networks of populations connected by migratory flows whose configurations are described in terms of connectivity distribution of…

动力系统 · 数学 2015-03-13 Berge Tsanou , Samuel Bowong , Jean Jules Tewa

Optimal control of interdependent epidemics spreading over complex networks is a critical issue. We first establish a framework to capture the coupling between two epidemics, and then analyze the system's equilibrium states by categorizing…

系统与控制 · 计算机科学 2017-10-19 Juntao Chen , Rui Zhang , Quanyan Zhu

Metapopulation models have been a powerful tool for both theorizing and simulating epidemic dynamics. In a metapopulation model, one considers a network composed of subpopulations and their pairwise connections, and individuals are assumed…

物理与社会 · 物理学 2021-12-28 Lingqi Meng , Naoki Masuda

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

We propose a mathematical framework, based on conic geometric programming, to control a susceptible-infected-susceptible viral spreading process taking place in a directed contact network with unknown contact rates. We assume that we have…

最优化与控制 · 数学 2014-12-09 Shuo Han , Victor M. Preciado , Cameron Nowzari , George J. Pappas

Epidemic spreading of infectious diseases is ubiquitous and has often considerable impact on public health and economic wealth. The large variability in spatio-temporal patterns of epidemics prohibits simple interventions and demands for a…

种群与进化 · 定量生物学 2010-11-25 Christel Kamp

Recently developed techniques to acquire high-quality human mobility data allow large-scale simulations of the spread of infectious diseases with high spatial and temporal resolution.Analysis of such data has revealed the oversimplification…

物理与社会 · 物理学 2015-12-08 Naoya Fujiwara , Abhijeet R. Sonawane , Koji Iwayama , Kazuyuki Aihara

In this work we propose a novel space-dependent multiscale model for the spread of infectious diseases in a two-dimensional spatial context on realistic geographical scenarios. The model couples a system of kinetic transport equations…

数值分析 · 数学 2020-12-21 Walter Boscheri , Giacomo Dimarco , Lorenzo Pareschi

We propose an efficient strategy to suppress epidemic explosion in heterogeneous metapopulation networks, wherein each node represents a subpopulation with any number of individuals and is assigned a curing rate that is proportional to…

物理与社会 · 物理学 2013-02-15 Chuansheng Shen , Hanshuang Chen , Zhonghuai Hou

One of the major issues in the theoretical modeling of epidemic spreading is the development of methods to control the transmission of an infectious agent. Human behavior plays a fundamental role in the spreading dynamics and can be used to…

The study proposes a modeling framework for investigating the disease dynamics with adaptive human behavior during a disease outbreak, considering the impacts of both local observations and global information. One important application…

物理与社会 · 物理学 2020-08-26 Xinwu Qian , Jiawei Xue , Satish V. Ukkusuri

I study the spreading of infectious diseases on heterogeneous populations. I represent the population structure by a contact-graph where vertices represent agents and edges represent disease transmission channels among them. The population…

种群与进化 · 定量生物学 2009-11-13 Alexei Vazquez

A key characteristic of the spread of infectious diseases is their ability to use efficient transmission paths within contact graphs. This enables the pathogen to maximise infection rates and spread within a target population. In this work,…

社会与信息网络 · 计算机科学 2020-06-11 Shishir Nagaraja

In this paper, we study the control of the traffic-driven epidemic spreading by immunization strategy. We consider the random, degree-based and betweeness-based immunization strategies, respectively. It is found that the betweeness-based…

物理与社会 · 物理学 2018-02-14 Han-Xin Yang , Bing-Hong Wang