dorsal/arxiv
View SchemaShort and Long-Term Dynamics of Childhood Diseases on Dynamic Small-World Networks
| Authors | J. Verdasca |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0512044 |
| URL | https://arxiv.org/abs/q-bio/0512044 |
Abstract
We have performed individual-based lattice simulations of SIR and SEIR dynamics to investigate both the short and long-term dynamics of childhood epidemics. In our model, infection takes place through a combination of local and long-range contacts, in practice generating a dynamic small-world network. Sustained oscillations emerge with a period much larger than the duration of infection. We found that the network topology has a strong impact on the amplitude of oscillations and in the level of persistence. Diseases do not spread very effectively through local contacts. This can be seen by measuring an {\em effective} transmission rate $\beta_{\mbox {\scriptsize eff}}$ as well as the basic reproductive rate $R_0$. These quantities are lower in the small-world network than in an homogeneously mixed population, whereas the average age at infection is higher.
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"abstract": "We have performed individual-based lattice simulations of SIR and SEIR\ndynamics to investigate both the short and long-term dynamics of childhood\nepidemics. In our model, infection takes place through a combination of local\nand long-range contacts, in practice generating a dynamic small-world network.\nSustained oscillations emerge with a period much larger than the duration of\ninfection. We found that the network topology has a strong impact on the\namplitude of oscillations and in the level of persistence. Diseases do not\nspread very effectively through local contacts. This can be seen by measuring\nan {\\em effective} transmission rate $\\beta_{\\mbox {\\scriptsize eff}}$ as well\nas the basic reproductive rate $R_0$. These quantities are lower in the\nsmall-world network than in an homogeneously mixed population, whereas the\naverage age at infection is higher.",
"arxiv_id": "q-bio/0512044",
"authors": [
"J. Verdasca"
],
"categories": [
"q-bio.PE"
],
"title": "Short and Long-Term Dynamics of Childhood Diseases on Dynamic Small-World Networks",
"url": "https://arxiv.org/abs/q-bio/0512044"
},
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