SIAM Undergraduate Research Online
Volume 9
In This Volume
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Rumors with Personality: A Differential and Agent-Based Model of Information Spread through Networks
Published electronically December 9, 2016DOI: 10.1137/16S015103
Authors
Devavrat V. Dabke (Duke University), Eva E. Arroyo (Duke University)
Project Advisors
Anita T. Layton (Duke University)
Abstract
We constructed the “ISTK" model to approximate the spread of viral information - a rumor - through a given (social) network. Initially, we used a set of ordinary differential equations to assess the spread of a rumor in face-to-face interactions in a homogenous population. Our second model translated this system into an equivalent stochastic agent-based model. We then incorporated a network based off of a representative Facebook dataset. Our results showed that incorporating the structure of a network alters the behavior of the rumor as it spreads across the population, while preserving steady states. Our third model considered features: demographic information that characterized individuals in our representative population. We also generated a feature vector for the rumor in order to simulate its “personality." An increase in the average similarity of the rumor to the population resulted in increased propagation through the network. However, the addition of feature vectors prevents the rumor from saturating the network. Our agent-based, feature-equipped ISTK model provides a more realistic mechanism to account for social behaviors, thus allowing for a more precise model of the dynamics of rumor spread through networks.
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A Patch Model for the Transmission Dynamics of Zika Virus from Rio de Janeiro to Miami during Carnival and the Olympics
Published electronically December 8, 2016 -
On Practical Approximate Projection Schemes in Signal Space Methods
Published electronically December 2, 2016 -
Redistricting Youngstown Police Beats
Published electronically October 27, 2016 -
Applications of Cumulative Histograms in Diagnosing Breast Cancer
Published electronically October 6, 2016 -
Modeling Interactions Between Various Cell Populations in a Cancerous System
Published electronically September 27, 2016 -
A connection between grad-div stabilized FE solutions and pointwise divergence-free FE solutions on general Meshes
Published electronically September 15, 2016 -
Accuracy of data-based sensitivity indices
Published electronically August 25, 2016 -
Topological Complexity for Driverless Vehicles
Published electronically August 11, 2016 -
Car(e) to Share? A Mathematical Anaylsis of the Car-Sharing Industry
Published electronically August 5, 2016 -
Modeling the Spread of Ebola with SEIR and Optimal Control
Published electronically August 2, 2016 -
A Physiologically-Based Pharmacokinetic Model for Vancomycin
Published electronically July 22, 2016 -
Mathematical Analysis of Ivermectin as a Malaria Control Method
Published electronically July 11, 2016 -
A Sample Size Calculator for SMART Pilot Studies
Published electronically June 27, 2016 -
Compartmentalizing an SIR Model of n Susceptibility Classes
Published electronically May 25, 2016 -
Optimal Call Center Staffing via Simulation
Published electronically May 23, 2016 -
Practical Algorithms for Learning Near-isometric Linear Embeddings
Published electronically May 20, 2016 -
Similarity, Mass Conservation, and the Numerical Simulation of a Simplified Glacier Equation
Published electronically May 11, 2016 -
Modeling Product Shelf Life
Published electronically May 2, 2016 -
Monte Carlo Estimation of the Diameter-constrained Reliability of Networks using Parallelism
Published electronically April 20, 2016 -
An extension of Standard Latent Dirichlet Allocation to Multiple Corpora
Published electronically April 14, 2016 -
A Numerical Study of Several Viscoelastic Fluid Models
Published electronically March 30, 2016 -
Mathematical modeling of the 2014/2015 Ebola epidemic in West Africa
Published electronically March 25, 2016 -
A Heuristic Method for Scheduling Band Concert Tours
Published electronically March 14, 2016 -
Realistic Spiking Neuron Statistics in a Population are Described by a Single Parametric Distribution
Published electronically February 8, 2016 -
Modeling Lotic Organism Population with Partial Differential Equations
Published electronically February 8, 2016 -
A Greens Function Numerical Method for Solving Parabolic Partial Differential Equations
Published electronically January 21, 2016 -
A Coordinate Descent Method for Robust Matrix Factorization and Applications
Published electronically January 15, 2016
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