Staff Publications

Staff Publications

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    'Staff publications' is the digital repository of Wageningen University & Research

    'Staff publications' contains references to publications authored by Wageningen University staff from 1976 onward.

    Publications authored by the staff of the Research Institutes are available from 1995 onwards.

    Full text documents are added when available. The database is updated daily and currently holds about 240,000 items, of which 72,000 in open access.

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Record number 302928
Title Thresholds and initial growth rates in a model of parasitic infection
Author(s) Barbour, A.D.; Heesterbeek, J.A.P.; Luchsinger, C.
Source Annals of Applied Probability 6 (1996)4. - ISSN 1050-5164 - p. 1045 - 1074.
DOI https://doi.org/10.1214/aoap/1035463323
Department(s) Centrum voor Plantenveredelings- en Reproduktieonderzoek
Publication type Refereed Article in a scientific journal
Publication year 1996
Abstract We investigate the initial behavior of a deterministic model of parasitic infection, appropriate to transmission between homogeneously mixing hosts, where the amount of infection which is transferred from one host to another at a single contact depends on the number of parasites in the infecting host. In this model, R0 can be denned to be the lifetime expected number of offspring of an adult parasite under ideal conditions, but it does not necessarily contain the information needed to separate growth from extinction of infection; nor need the growth rates of parasite numbers and numbers of infected hosts be the same. Similar phenomena are observed if real time is replaced by generation number, and the overlap of generations as time passes need not correspond to that found, for instance, in the supercritical linear birth and death process. The proofs involve martingale methods, applied to a Markov chain associated with the deterministic differential equation system.
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