Kinetic and macroscopic epidemic models in presence of multiple heterogeneous populations
@inproceedings{Medaglia2021KineticAM, title={Kinetic and macroscopic epidemic models in presence of multiple heterogeneous populations}, author={Andrea Medaglia and Mattia Zanella}, year={2021} }
We study the impact of contact heterogeneity on epidemic dynamics. A system characterized by multiple susceptible populations is considered. The description of the spread of an infectious disease is obtained through the study of a system of Boltzmann-type equations for the number densities of social contacts of the introduced compartments. A macroscopic system of equations characterizing observable effects of the epidemic is then derived to assess the impact of contact heterogeneity.
2 Citations
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It is recognized that social heterogeneities in terms of the contact distribution have a strong influence on the spread of infectious diseases. Nevertheless, few data are available and their…
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This work investigates the role of the individuals' viral load in the disease transmission by proposing a new susceptible-infectious-recovered epidemic model for the densities and mean viral loads of each compartment and formally derives the compartmental model from an appropriate microscopic one.
References
SHOWING 1-10 OF 26 REFERENCES
Kinetic models for epidemic dynamics with social heterogeneity
- MathematicsJournal of Mathematical Biology
- 2021
The kinetic model allows to clarify how a selective control can be assumed to achieve a minimal lockdown strategy by only reducing individuals undergoing a very large number of daily contacts and conducts numerical simulations which confirm the ability of the model to describe different phenomena characteristic of the rapid spread of an epidemic.
Wealth distribution under the spread of infectious diseases.
- EconomicsPhysical review. E
- 2020
A mathematical framework to study the economic impact of infectious diseases by integrating epidemiological dynamics with a kinetic model of wealth exchange and simulations confirm the ability of the model to describe different phenomenon characteristics of economic trends in situations compromised by the rapid spread of an epidemic.
On the spread of epidemics in a closed heterogeneous population.
- MathematicsMathematical biosciences
- 2008
A viral load-based model for epidemic spread on spatial networks.
- MathematicsMathematical biosciences and engineering : MBE
- 2021
The hydrodynamic equations for the density and the mean viral load of the individuals on the network are derived and the large-time trends of these quantities are analyzed with special emphasis on the cases of blow-up or eradication of the infection.
Spatial spread of COVID-19 outbreak in Italy using multiscale kinetic transport equations with uncertainty
- MathematicsMathematical biosciences and engineering : MBE
- 2021
A space-dependent multiscale model to describe the spatial spread of an infectious disease under uncertain data with particular interest in simulating the onset of the COVID-19 epidemic in Italy is introduced.
Infectious disease models with time-varying parameters and general nonlinear incidence rate
- Mathematics
- 2012
A data-driven epidemic model with social structure for understanding the COVID-19 infection on a heavily affected Italian province
- EconomicsMathematical Models and Methods in Applied Sciences
- 2021
The proposed research combines a new mathematical description of the spread of an infectious diseases which takes into account both age and average daily social contacts with a detailed analysis of the dataset of all traced infected individuals in the Province of Pavia to develop a data-driven model.
Heterogeneous social interactions and the COVID-19 lockdown outcome in a multi-group SEIR model
- EconomicsMathematical Modelling of Natural Phenomena
- 2020
It is discussed here a possible explanation, namely that the lockdown is creating social heterogeneity: even if a large majority of the population complies with the lockdown rules, a small fraction of the Population still has to maintain a normal or high level of social interactions, such as health workers, providers of essential services, etc.
Interacting Multiagent Systems: Kinetic equations and Monte Carlo methods
- Computer Science
- 2014
A robust approach to mathematical modelling and numerical simulation of multi-agent systems is presented in detail and is a useful reference text for applied mathematicians, physicists, biologists and economists who want to learn about modelling and approximation of such challenging phenomena.