Title: A probabilistic infection model for efficient trace-prediction of disease outbreaks in contact networks
We propose a novel method which we call the Probabilistic Infection Model (PIM). Instead of stochastically assigning exactly one state to each agent at a time, PIM tracks the likelihood of each agent being in a particular state. Thus, a particular agent can exist in multiple disease states concurrently. Our model gives an improved resolution of transitions between states, and allows for a more comprehensive view of outbreak dynamics at the individual level. Moreover, by using a probabilistic approach, our model gives a representative understanding of the overall trajectories of simulated outbreaks without the need for numerous (order of hundreds) of repeated Monte Carlo simulations. We simulate our model over a contact network constructed using registration data of university students. We model three diseases; measles and two strains of influenza. We compare the results obtained by PIM with those obtained by simulating stochastic SEIR models over the same the contact network. The results demonstrate that the PIM can successfully replicate the averaged results from numerous simulations of a stochastic model in a single deterministic simulation. Keywords: Computational epidemics, Outbreak simulation, SEIR model more »« less
Smedemark-Margulies, Niklas; Walters, Robin; Zimmermann, Heiko; Laird, Lucas; van der Loo, Christian; Kaushik, Neela; Caceres, Rajmonda; van de Meent, Jan-Willem
(, PLOS Computational Biology)
Britton, Tom
(Ed.)
Accurate epidemiological models require parameter estimates that account for mobility patterns and social network structure. We demonstrate the effectiveness of probabilistic programming for parameter inference in these models. We consider an agent-based simulation that represents mobility networks as degree-corrected stochastic block models, whose parameters we estimate from cell phone co-location data. We then use probabilistic program inference methods to approximate the distribution over disease transmission parameters conditioned on reported cases and deaths. Our experiments demonstrate that the resulting models improve the quality of fit in multiple geographies relative to baselines that do not model network topology.
Srinivasu, Neon; Hashkavaei, Nazanin S; Sanyal, Amit K; Butcher, Eric A
(, IEEE)
This work analyzes and develops some fundamental results for attitude consensus control of a network of rigid-body vehicles, considered a multi-agent rigid body system (MARBS). The system is analyzed using a full rigid body dynamics model on TSO(3) for each vehicle (agent) in the network. Therefore, the state space of the system is TSO(3)^N, where N is the number of vehicles. Attitude synchronization control laws for each vehicle to reach a consensus attitude with zero angular velocity for a particular type of network are obtained, using a Morse-Lyapunov function. Some fundamental results on equilibria of the network under these attitude consensus control laws are obtained. We show that unlike cooperative control of multi-agent systems with highly simplified dynamics models for agents, like point particles or unicycles where the state space of the dynamics is modeled as a vector space, there are multiple equilibrium solutions possible for attitude consensus control laws for a MARBS with dynamics on TSO(3)^N. Further, the number of equilibria depends on the network graph topology. This is followed by numerical simulation results for two different network graphs, which show this network control framework to be effective in obtaining attitude consensus.
Abstract Most models of the COVID-19 pandemic in the United States do not consider geographic variation and spatial interaction. In this research, we developed a travel-network-based susceptible-exposed-infectious-removed (SEIR) mathematical compartmental model system that characterizes infections by state and incorporates inflows and outflows of interstate travelers. Modeling reveals that curbing interstate travel when the disease is already widespread will make little difference. Meanwhile, increased testing capacity (facilitating early identification of infected people and quick isolation) and strict social-distancing and self-quarantine rules are most effective in abating the outbreak. The modeling has also produced state-specific information. For example, for New York and Michigan, isolation of persons exposed to the virus needs to be imposed within 2 days to prevent a broad outbreak, whereas for other states this period can be 3.6 days. This model could be used to determine resources needed before safely lifting state policies on social distancing.
McQuade, Sean T.; Weightman, Ryan; Merrill, Nathaniel J.; Yadav, Aayush; Trélat, Emmanuel; Allred, Sarah R.; Piccoli, Benedetto
(, Mathematical Models and Methods in Applied Sciences)
The outbreak of COVID-19 resulted in high death tolls all over the world. The aim of this paper is to show how a simple SEIR model was used to make quick predictions for New Jersey in early March 2020 and call for action based on data from China and Italy. A more refined model, which accounts for social distancing, testing, contact tracing and quarantining, is then proposed to identify containment measures to minimize the economic cost of the pandemic. The latter is obtained taking into account all the involved costs including reduced economic activities due to lockdown and quarantining as well as the cost for hospitalization and deaths. The proposed model allows one to find optimal strategies as combinations of implementing various non-pharmaceutical interventions and study different scenarios and likely initial conditions.
Evensen, Geir; Amezcua, Javier; Bocquet, Marc; Carrassi, Alberto; Farchi, Alban; Fowler, Alison; Houtekamer, Pieter L.; Jones, Christopher K.; de Moraes, Rafael J.; Pulido, Manuel; et al
(, Foundations of Data Science)
This work demonstrates the efficiency of using iterative ensemble smoothers to estimate the parameters of an SEIR model. We have extended a standard SEIR model with age-classes and compartments of sick, hospitalized, and dead. The data conditioned on are the daily numbers of accumulated deaths and the number of hospitalized. Also, it is possible to condition the model on the number of cases obtained from testing. We start from a wide prior distribution for the model parameters; then, the ensemble conditioning leads to a posterior ensemble of estimated parameters yielding model predictions in close agreement with the observations. The updated ensemble of model simulations has predictive capabilities and include uncertainty estimates. In particular, we estimate the effective reproductive number as a function of time, and we can assess the impact of different intervention measures. By starting from the updated set of model parameters, we can make accurate short-term predictions of the epidemic development assuming knowledge of the future effective reproductive number. Also, the model system allows for the computation of long-term scenarios of the epidemic under different assumptions. We have applied the model system on data sets from several countries, i.e., the four European countries Norway, England, The Netherlands, and France; the province of Quebec in Canada; the South American countries Argentina and Brazil; and the four US states Alabama, North Carolina, California, and New York. These countries and states all have vastly different developments of the epidemic, and we could accurately model the SARS-CoV-2 outbreak in all of them. We realize that more complex models, e.g., with regional compartments, may be desirable, and we suggest that the approach used here should be applicable also for these models.
Qian, W., Bhowmick, S., O’Neill, M., Ramisetty-Mikler, S., and Mikler, A. R. A probabilistic infection model for efficient trace-prediction of disease outbreaks in contact networks. Retrieved from https://par.nsf.gov/biblio/10187220. International Conference on Computational Science ICCS2020 . Web. doi:10.1007/978-3-030-50371-0_50.
Qian, W., Bhowmick, S., O’Neill, M., Ramisetty-Mikler, S., & Mikler, A. R. A probabilistic infection model for efficient trace-prediction of disease outbreaks in contact networks. International Conference on Computational Science ICCS2020, (). Retrieved from https://par.nsf.gov/biblio/10187220. https://doi.org/10.1007/978-3-030-50371-0_50
Qian, W., Bhowmick, S., O’Neill, M., Ramisetty-Mikler, S., and Mikler, A. R.
"A probabilistic infection model for efficient trace-prediction of disease outbreaks in contact networks". International Conference on Computational Science ICCS2020 (). Country unknown/Code not available. https://doi.org/10.1007/978-3-030-50371-0_50.https://par.nsf.gov/biblio/10187220.
@article{osti_10187220,
place = {Country unknown/Code not available},
title = {A probabilistic infection model for efficient trace-prediction of disease outbreaks in contact networks},
url = {https://par.nsf.gov/biblio/10187220},
DOI = {10.1007/978-3-030-50371-0_50},
abstractNote = {We propose a novel method which we call the Probabilistic Infection Model (PIM). Instead of stochastically assigning exactly one state to each agent at a time, PIM tracks the likelihood of each agent being in a particular state. Thus, a particular agent can exist in multiple disease states concurrently. Our model gives an improved resolution of transitions between states, and allows for a more comprehensive view of outbreak dynamics at the individual level. Moreover, by using a probabilistic approach, our model gives a representative understanding of the overall trajectories of simulated outbreaks without the need for numerous (order of hundreds) of repeated Monte Carlo simulations. We simulate our model over a contact network constructed using registration data of university students. We model three diseases; measles and two strains of influenza. We compare the results obtained by PIM with those obtained by simulating stochastic SEIR models over the same the contact network. The results demonstrate that the PIM can successfully replicate the averaged results from numerous simulations of a stochastic model in a single deterministic simulation. Keywords: Computational epidemics, Outbreak simulation, SEIR model},
journal = {International Conference on Computational Science ICCS2020},
author = {Qian, W. and Bhowmick, S. and O’Neill, M. and Ramisetty-Mikler, S. and Mikler, A. R.},
}
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