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In this paper, we focus on susceptible-infected-susceptible dynamics on metapopulation networks, where nodes represent subpopulations, and where agents diffuse and interact. Recent studies suggest that heterogeneous network structure…

Physics and Society · Physics 2015-06-11 Taro Takaguchi , Renaud Lambiotte

Recent empirical observations suggest a heterogeneous nature of human activities. The heavy-tailed inter-event time distribution at population level is well accepted, while whether the individual acts in a heterogeneous way is still under…

Data Analysis, Statistics and Probability · Physics 2015-05-28 Zimo Yang , Ai-Xiang Cui , Tao Zhou

Dengue is one of the major international public health concerns. Although progress is underway, developing a vaccine against the disease is challenging. Thus, the main approach to fight the disease is vector control. A model for the…

Optimization and Control · Mathematics 2015-03-19 Helena Sofia Rodrigues , M. Teresa T. Monteiro , Delfim F. M. Torres , Alan Zinober

Diffusion processes are governed by external triggers and internal dynamics in complex systems. Timely and cost-effective control of infectious disease spread critically relies on uncovering the underlying diffusion mechanisms, which is…

Populations and Evolution · Quantitative Biology 2022-02-09 Minkyoung Kim , Dean Paini , Raja Jurdak

High impact epidemics constitute one of the largest threats humanity is facing in the 21st century. Testing, contact tracing and quarantining are critical in slowing down epidemic dynamics, but may prove insufficient for highly contagious…

Populations and Evolution · Quantitative Biology 2021-06-09 Davide Scarselli , Nazmi Burak Budanur , Marc Timme , Björn Hof

It is often useful to represent the infectious dynamics of mobile agents by metapopulation models. In such a model, metapopulations form a static network, and individuals migrate from one metapopulation to another. It is known that…

Disordered Systems and Neural Networks · Physics 2010-09-09 Naoki Masuda

In many epidemiological and ecological contexts, there is a trade-off between infections and interactions. This arises because the links between individuals capable of spreading infections are also often associated with beneficial…

Physics and Society · Physics 2025-04-04 Bunlang Thatchai , Christopher E. Overton , Thomas House

Bridging nodes, which connect critical components of a network, play an important role in maintaining structural integrity and facilitating communication within the network, representing indirect yet relevant connections. Epidemic…

We study a diffusive SIS epidemic model with the mass-action transmission mechanism and show, under appropriate assumptions on the parameters, the existence of multiple endemic equilibria (EE). Our results answer some open questions on…

Analysis of PDEs · Mathematics 2023-11-07 Keoni Castellano , Rachidi B. Salako

The resurgence of vector-borne diseases is an increasing public health concern, and there is a need for a better understanding of their dynamics. For a number of diseases, e.g. dengue and chikungunya, this resurgence occurs mostly in urban…

Populations and Evolution · Quantitative Biology 2017-04-14 Abderrahman Iggidr , Gauthier Sallet , Max O. Souza

In this brief, we study epidemic spreading dynamics taking place in complex networks. We specifically investigate the effect of synergy, where multiple interactions between nodes result in a combined effect larger than the simple sum of…

Social and Information Networks · Computer Science 2019-04-23 Masaki Ogura , Wenjie Mei , Kenji Sugimoto

We introduce and analyze coupled, multi-strain epidemic models designed to simulate the emergence and dissemination of mutant (e.g. drug-resistant) pathogen strains. In particular, we investigate the mathematical and biological properties…

Populations and Evolution · Quantitative Biology 2017-05-10 Michael T. Meehan , Daniel G. Cocks , James M. Trauer , Emma S. McBryde

Understanding the spread of diseases through complex networks is of great interest where realistic, heterogeneous contact patterns play a crucial role in the spread. Most works have focused on mean-field behavior -- quantifying how contact…

Statistical Mechanics · Physics 2022-12-14 Elad Korngut , Jason Hindes , Michael Assaf

It is increasingly important to understand the spatial dynamics of epidemics. While there are numerous mathematical models of epidemics, there is a scarcity of physical systems with sufficiently well-controlled parameters to allow…

Networks of person-person contacts form the substrate along which infectious diseases spread. Most network-based studies of the spread focus on the impact of variations in degree (the number of contacts an individual has). However, other…

Quantitative Methods · Quantitative Biology 2008-12-15 Joel C. Miller

We study ODE models of epidemic spreading with a preventive behavioral response that is triggered by awareness of the infection. Previous studies of such models have mostly focused on the impact of the response on the initial growth of an…

Populations and Evolution · Quantitative Biology 2017-08-08 Winfried Just , Joan Saldana , Ying Xin

We study the effect of heterogeneous temporal activations on epidemic spreading in temporal networks. We focus on the susceptible-infected-susceptible (SIS) model on activity-driven networks with burstiness. By using an activity-based…

Physics and Society · Physics 2019-05-28 Marco Mancastroppa , Alessandro Vezzani , Miguel A. Muñoz , Raffaella Burioni

Many real networks are not isolated from each other but form networks of networks, often interrelated in non trivial ways. Here, we analyze an epidemic spreading process taking place on top of two interconnected complex networks. We develop…

Disordered Systems and Neural Networks · Physics 2015-06-04 Anna Saumell-Mendiola , M. Ángeles Serrano , Marián Boguñá

A number of theoretical models have been developed in recent years modelling epidemic spread in educational settings such as universities to help inform re-opening strategies during the Covid-19 pandemic. However, these studies have had…

Populations and Evolution · Quantitative Biology 2023-06-19 Alex Best , Prerna Singh

Dengue, a mosquito-borne viral disease common in tropical areas, is spread by Aedes aegypti and Aedes albopictus. Temperature changes driven by climate affect vector ecology and expand regions of species coexistence. The combined effect of…

Populations and Evolution · Quantitative Biology 2025-09-16 Santiago Andrés Villamil Chacón , Mauricio Santos-Vega