### Abstract

Language | English |
---|---|

Pages | 777-794 |

Number of pages | 18 |

Journal | Bulletin of Mathematical Biology |

Volume | 73 |

Issue number | 4 |

Early online date | 23 Dec 2010 |

DOIs | |

Publication status | Published - 2011 |

### Fingerprint

### Keywords

- symbolic investigation
- superspreaders

### Cite this

*Bulletin of Mathematical Biology*,

*73*(4), 777-794. https://doi.org/10.1007/s11538-010-9603-7

}

*Bulletin of Mathematical Biology*, vol. 73, no. 4, pp. 777-794. https://doi.org/10.1007/s11538-010-9603-7

**A symbolic investigation of superspreaders.** / McCaig, Chris; Begon, M.; Shankland, C.; Norman, R.

Research output: Contribution to journal › Article

TY - JOUR

T1 - A symbolic investigation of superspreaders

AU - McCaig, Chris

AU - Begon, M.

AU - Shankland, C.

AU - Norman, R.

PY - 2011

Y1 - 2011

N2 - Superspreaders are an important phenomenon in the spread of infectious disease, accounting for a higher than average number of new infections in the population. We use mathematical models to compare the impact of supershedders and supercontacters on population dynamics. The stochastic, individual based models are investigated by conversion to deterministic, population level Mean Field Equations, using process algebra. The mean emergent population dynamics of the models are shown to be equivalent with and without superspreaders; however, simulations confirm expectations of differences in variability, having implications for individual epidemics.

AB - Superspreaders are an important phenomenon in the spread of infectious disease, accounting for a higher than average number of new infections in the population. We use mathematical models to compare the impact of supershedders and supercontacters on population dynamics. The stochastic, individual based models are investigated by conversion to deterministic, population level Mean Field Equations, using process algebra. The mean emergent population dynamics of the models are shown to be equivalent with and without superspreaders; however, simulations confirm expectations of differences in variability, having implications for individual epidemics.

KW - symbolic investigation

KW - superspreaders

U2 - 10.1007/s11538-010-9603-7

DO - 10.1007/s11538-010-9603-7

M3 - Article

VL - 73

SP - 777

EP - 794

JO - Bulletin of Mathematical Biology

T2 - Bulletin of Mathematical Biology

JF - Bulletin of Mathematical Biology

SN - 0092-8240

IS - 4

ER -