| Title |
Dynamics of stochastic epidemics on heterogeneous networks
|
|---|---|
| Published in |
Journal of Mathematical Biology, April 2013
|
| DOI | 10.1007/s00285-013-0679-1 |
| Pubmed ID | |
| Authors |
Matthew Graham, Thomas House |
| Abstract |
Epidemic models currently play a central role in our attempts to understand and control infectious diseases. Here, we derive a model for the diffusion limit of stochastic susceptible-infectious-removed (SIR) epidemic dynamics on a heterogeneous network. Using this, we consider analytically the early asymptotic exponential growth phase of such epidemics, showing how the higher order moments of the network degree distribution enter into the stochastic behaviour of the epidemic. We find that the first three moments of the network degree distribution are needed to specify the variance in disease prevalence fully, meaning that the skewness of the degree distribution affects the variance of the prevalence of infection. We compare these asymptotic results to simulation and find a close agreement for city-sized populations. |
X Demographics
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Geographical breakdown
| Country | Count | As % |
|---|---|---|
| Norway | 1 | 100% |
Demographic breakdown
| Type | Count | As % |
|---|---|---|
| Members of the public | 1 | 100% |
Mendeley readers
The data shown below were compiled from readership statistics for 30 Mendeley readers of this research output. Click here to see the associated Mendeley record.
Geographical breakdown
| Country | Count | As % |
|---|---|---|
| United States | 1 | 3% |
| Unknown | 29 | 97% |
Demographic breakdown
| Readers by professional status | Count | As % |
|---|---|---|
| Student > Ph. D. Student | 8 | 27% |
| Researcher | 7 | 23% |
| Professor > Associate Professor | 4 | 13% |
| Student > Master | 4 | 13% |
| Student > Bachelor | 1 | 3% |
| Other | 4 | 13% |
| Unknown | 2 | 7% |
| Readers by discipline | Count | As % |
|---|---|---|
| Mathematics | 10 | 33% |
| Engineering | 3 | 10% |
| Computer Science | 3 | 10% |
| Agricultural and Biological Sciences | 2 | 7% |
| Physics and Astronomy | 2 | 7% |
| Other | 5 | 17% |
| Unknown | 5 | 17% |
Attention Score in Context
This research output has an Altmetric Attention Score of 1. This is our high-level measure of the quality and quantity of online attention that it has received. This Attention Score, as well as the ranking and number of research outputs shown below, was calculated when the research output was last mentioned on 18 April 2013.
All research outputs
#18,336,865
of 22,707,247 outputs
Outputs from Journal of Mathematical Biology
#441
of 655 outputs
Outputs of similar age
#144,479
of 192,343 outputs
Outputs of similar age from Journal of Mathematical Biology
#12
of 18 outputs
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