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| Content Provider | Springer Nature Link |
|---|---|
| Author | Deardon, Rob Romanescu, Razvan |
| Copyright Year | 2015 |
| Abstract | Well formulated models of disease spread, and efficient methods to fit them to observed data, are powerful tools for aiding the surveillance and control of infectious diseases. Our project considers the problem of the simultaneous spread of two related strains of disease in a context where spatial location is the key driver of disease spread. We start our modeling work with the individual level models (ILMs) of disease transmission, and extend these models to accommodate the competing spread of the pathogens in a two-tier hierarchical population (whose levels we refer to as ‘farm’ and ‘animal’). The postulated interference mechanism between the two strains is a period of cross-immunity following infection. We also present a framework for speeding up the computationally intensive process of fitting the ILM to data, typically done using Markov chain Monte Carlo (MCMC) in a Bayesian framework, by turning the inference into a two-stage process. First, we approximate the number of animals infected on a farm over time by infectivity curves. These curves are fit to data sampled from farms, using maximum likelihood estimation, then, conditional on the fitted curves, Bayesian MCMC inference proceeds for the remaining parameters. Finally, we use posterior predictive distributions of salient epidemic summary statistics, in order to assess the model fitted. |
| Ending Page | 1224 |
| Page Count | 30 |
| Starting Page | 1195 |
| File Format | |
| ISSN | 03036812 |
| e-ISSN | 14321416 |
| Journal | Journal of Mathematical Biology |
| Issue Number | 5 |
| Volume Number | 72 |
| Language | English |
| Publisher | Springer Berlin Heidelberg |
| Publisher Date | 2015-06-18 |
| Publisher Place | Berlin, Heidelberg |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Individual level models Multi-strain Non-linear approximation Mathematical and Computational Biology Model comparison General biostatistics Applications of Mathematics Applications to biology and medical sciences |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Agricultural and Biological Sciences Modeling and Simulation |
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