The stage-structured epidemic : linking disease and demography with a multi-state matrix approach model
MetadataShow full item record
Stage-structured epidemic models provide a way to connect the interacting processes of infection and demography. Reproduction and development can replenish the pool of susceptible hosts, and demographic structure leads to heterogeneous transmission and disease risk. Epidemics, in turn, can increase mortality or reduce fertility of the host population. Here we present a framework that integrates both demography and epidemiology in models for stage-structured epidemics. We use the vec-permutation matrix approach to classify individuals jointly by their demographic stage and infection status. We describe demographic and epidemic processes as alternating in time with a periodic matrix models. The application of matrix calculus to this framework allows for the calculation of R0 and sensitivity analysis.
Author Posting. © The Author(s), 2010. This is the author's version of the work. It is posted here by permission of Springer for personal use, not for redistribution. The definitive version was published in Theoretical Ecology 4 (2011): 301-319, doi:10.1007/s12080-010-0079-8.
Showing items related by title, author, creator and subject.
Caswell, Hal; Salguero-Gomez, Roberto (John Wiley & Sons, 2013-04-24)Senescence (an increase in the mortality rate or force of mortality, or a decrease in fertility, with increasing age) is a widespread phenomenon. Theories about the evolution of senescence have long focused on the age ...
Braverman, Hillary; Leibovitz, Louis; Lewbart, Gregory A. (2012-06)Degenerative lesions in the dorsum of the horseshoe crab (Limulus polyphemus) exoskeleton, eyes, arthrodial membrane, and base of the telson were documented in a population of wild caught laboratory animals. The disease ...
On the pulmonary toxicity of oxygen. 5. Electronic structure and the paramagnetic property of oxygen Shanklin, D. Radford (2012-06-01)Oxygen uptake by the pulmonary circulation is a chemical reaction. The physicochemical attributesof oxygen are critical when studying pulmonary oxygen toxicity. Extent of lung injury depends onthe percentage of oxygen in ...