The transmission dynamics of the aetiological agent of scrapie in a sheep flock
| Autor: | T. J. Hagenaars, Roy M. Anderson, Neil M. Ferguson, Christl A. Donnelly |
|---|---|
| Rok vydání: | 2000 |
| Předmět: |
Statistics and Probability
Scrapie Biology Models Biological General Biochemistry Genetics and Molecular Biology Disease Outbreaks law.invention law Disease Transmission Infectious Animals Disease Reservoirs Sheep Generation time General Immunology and Microbiology Applied Mathematics General Medicine Virology Infectious Disease Transmission Vertical United Kingdom Sheep flock Transmission (mechanics) Modeling and Simulation Disease Susceptibility Spongiform encephalopathy General Agricultural and Biological Sciences Biological system Epidemic model Basic reproduction number Horizontal transmission |
| Zdroj: | Mathematical Biosciences. 168:117-135 |
| ISSN: | 0025-5564 |
| DOI: | 10.1016/s0025-5564(00)00048-1 |
| Popis: | We formulate and investigate the properties of a model framework to mimic the transmission dynamics of the aetiological agent of scrapie in a sheep flock. We derive expressions for summary parameters that characterize transmission scenarios, notably the basic reproduction number R0 and the mean generation time Tg. The timescale of epidemic outbreaks is expressed in terms of R0 and cumulants of the generation time distribution. We discuss the relative contributions to the overall rate of transmission of horizontal and vertical routes during invasion and in endemicity. Simplified models are used to obtain analytical insight into the characteristics of the endemic state. ” 2000 Elsevier Science Inc. All rights reserved. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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