Global disease spread: statistics and estimation of arrival times

A Gautreau, A Barrat, M Barthelemy - Journal of theoretical biology, 2008 - Elsevier
We study metapopulation models for the spread of epidemics in which different
subpopulations (cities) are connected by fluxes of individuals (travelers). This framework …

Kinetic modelling of epidemic dynamics: social contacts, control with uncertain data, and multiscale spatial dynamics

G Albi, G Bertaglia, W Boscheri, G Dimarco… - Predicting Pandemics in …, 2022 - Springer
In this survey we report some recent results in the mathematical modelling of epidemic
phenomena through the use of kinetic equations. We initially consider models of interaction …

An SIS epidemic model with vaccination in a dynamical contact network of mobile individuals with heterogeneous spatial constraints

XL Peng, ZQ Zhang, J Yang, Z Jin - Communications in Nonlinear Science …, 2019 - Elsevier
Network-based epidemic models have been extensively employed to understand the spread
of infectious diseases, but have generally overlooked the fact that most realistic networks are …

The influence of a transport process on the epidemic threshold

C Kuehn, J Mölter - Journal of Mathematical Biology, 2022 - Springer
By generating transient encounters between individuals beyond their immediate social
environment, transport can have a profound impact on the spreading of an epidemic. In this …

Impact of different social attitudes on epidemic spreading in activity-driven networks

Y Hou, Y Lu, Y Dong, L Jin, L Shi - Applied Mathematics and Computation, 2023 - Elsevier
In human society, individual interactions intrinsically change, with profound implications for
epidemics. The activity-driven model, a type of temporal network, offers an excellent …

Effect of quarantine strategies in a compartmental model with asymptomatic groups

Z Chladná, J Kopfová, D Rachinskii… - Journal of Dynamics and …, 2024 - Springer
We present an epidemiological model, which extend the classical SEIR model by
accounting for the presence of asymptomatic individuals and the effect of isolation of …

Spatial immunization to abate disease spreading in transportation hubs

M Mazzoli, R Gallotti, F Privitera, P Colet… - Nature …, 2023 - nature.com
Proximity social interactions are crucial for infectious diseases transmission. Crowded
agglomerations pose serious risk of triggering superspreading events. Locations like …

Analysis of transmission of infection in epidemics: Confined random walkers in dimensions higher than one

S Sugaya, VM Kenkre - Bulletin of Mathematical Biology, 2018 - Springer
The process of transmission of infection in epidemics is analyzed by studying a pair of
random walkers, the motion of each of which in two dimensions is confined spatially by the …

Modeling epidemics dynamics on heterogenous networks

Y Ben-Zion, Y Cohen, NM Shnerb - Journal of theoretical biology, 2010 - Elsevier
The dynamics of the SIS process on heterogenous networks, where different local
communities are connected by airlines, is studied. We suggest a new modeling technique …

Epidemic spreading in communities with mobile agents

J Zhou, Z Liu - Physica A: Statistical Mechanics and its Applications, 2009 - Elsevier
We propose a model of mobile agents to study the epidemic spreading in communities with
different densities of agents, which aims to simulate the realistic situation of multiple cities …