Related Experiment Video
Updated: Feb 10, 2026
08:53
Integrating Computerized Linguistic and Social Network Analyses to Capture Addiction Recovery Capital in an Online Community
Published on: May 31, 2019
5.8K
SIR dynamics in random networks with communities.
Jinxian Li1,2, Jing Wang3, Zhen Jin4,5
1School of Mathematical Sciences, Shanxi University, Taiyuan, 030006, China. ljxsmile1@163.com.
Journal of Mathematical Biology
|May 13, 2018
Summary
This study reveals how network community structure impacts epidemic spread. Strengthening community ties can reduce large-scale disease outbreaks, but effects vary with virus transmissibility.
Area of Science:
- Epidemiology
- Network Science
- Mathematical Biology
Background:
- Understanding epidemic dynamics in complex networks is crucial.
- Community structure significantly influences disease transmission patterns.
- Previous models often simplify or overlook the role of network modularity.
Purpose of the Study:
- To investigate the influence of community structure on epidemic spread.
- To develop a susceptible-infected-recovered (SIR) model for a two-community network.
- To determine conditions for disease outbreak and extinction based on network properties.
Main Methods:
- Formulated a susceptible-infected-recovered (SIR) model using probability generating functions.
- Analyzed arbitrary joint degree distributions within a two-community network.
- Employed Monte Carlo simulations for stochastic epidemic modeling.
- Validated model predictions against simulation results.
Main Results:
- Derived sufficient conditions for disease outbreak and extinction involving degree distribution moments.
- Demonstrated that strengthening community structure can either increase or decrease epidemic incidence.
- Showcased the complex interplay between virus transmissibility and community structure.
- Confirmed model accuracy through agreement with stochastic simulations.
Conclusions:
- Network community structure has a complex, non-linear effect on epidemic dynamics.
- Strengthening community structure is a viable strategy to mitigate large-scale epidemics.
- The impact of community structure depends on virus transmissibility and network configuration.
Related Concept Videos
00:30What are Populations and Communities?
38.0K
Overview
38.0K
02:26Protein Networks
4.6K
An organism can have thousands of different proteins, and these proteins must cooperate to ensure the health of an organism. Proteins bind to other proteins and form complexes to carry out their functions. Many proteins interact with multiple other proteins creating a complex network of protein interactions.
These interactions can be represented through maps depicting protein-protein interaction networks, represented as nodes and edges. Nodes are circles that are representative of a protein,...
These interactions can be represented through maps depicting protein-protein interaction networks, represented as nodes and edges. Nodes are circles that are representative of a protein,...
4.6K
01:04Random Error
9.8K
Random or indeterminate errors originate from various uncontrollable variables, such as variations in environmental conditions, instrument imperfections, or the inherent variability of the phenomena being measured. Usually, these errors cannot be predicted, estimated, or characterized because their direction and magnitude often vary in magnitude and direction even during consecutive measurements. As a result, they are difficult to eliminate. However, the aggregate effect of these errors can be...
9.8K
01:09Random Variables
17.9K
A random variable is a single numerical value that indicates the outcome of a procedure. The concept of random variables is fundamental to the probability theory and was introduced by a Russian mathematician, Pafnuty Chebyshev, in the mid-nineteenth century.
Uppercase letters such as X or Y denote a random variable. Lowercase letters like x or y denote the value of a random variable. If X is a random variable, then X is written in words, and x is given as a number.
For example, let X = the...
Uppercase letters such as X or Y denote a random variable. Lowercase letters like x or y denote the value of a random variable. If X is a random variable, then X is written in words, and x is given as a number.
For example, let X = the...
17.9K
01:13Randomized Experiments
9.1K
The randomization process involves assigning study participants randomly to experimental or control groups based on their probability of being equally assigned. Randomization is meant to eliminate selection bias and balance known and unknown confounding factors so that the control group is similar to the treatment group as much as possible. A computer program and a random number generator can be used to assign participants to groups in a way that minimizes bias.
Simple randomization
Simple...
Simple randomization
Simple...
9.1K
02:18Network Covalent Solids
16.2K
Network covalent solids contain a three-dimensional network of covalently bonded atoms as found in the crystal structures of nonmetals like diamond, graphite, silicon, and some covalent compounds, such as silicon dioxide (sand) and silicon carbide (carborundum, the abrasive on sandpaper). Many minerals have networks of covalent bonds.
To break or to melt a covalent network solid, covalent bonds must be broken. Because covalent bonds are relatively strong, covalent network solids are typically...
To break or to melt a covalent network solid, covalent bonds must be broken. Because covalent bonds are relatively strong, covalent network solids are typically...
16.2K