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Frequency-Dependent Disease Transmission and the Dynamics of the Silene-Ustilago Host-Pathogen System

Thrall H., P. and Biere, A. and Uyenoyama K., M. (1995) Frequency-Dependent Disease Transmission and the Dynamics of the Silene-Ustilago Host-Pathogen System. American Naturalist, 145, 43-62. ISSN 0003-0147.

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Official URL: http://dx.doi.org/10.1086/285727

Abstract

Models incorporating density-dependent disease transmission functions generally provide a good fit for airborne and directly transmitted bacterial or viral diseases. However, the transmission dynamics of sexually transmitted and vector-borne diseases are likely to be frequency- rather than density- dependent, which results in qualitatively different dynamics. Here, we present analyses of a basic epidemiological model in which the transmission process is represented as a function of the population disease frequency. In an extension of the basic model, we consider disease transmission as a probability function that assumes that the chance of becoming infected increases with the number of vector contacts. Stability analyses show that host-pathogen coexistence is possible in vector-transmitted and sexually transmitted disease systems in which transmission is likely to be frequency-dependent; the potential for stable coexistence is greatest for intermediate rates of disease spread and weak density dependence of host growth rate. Extension of the basic frequency-dependent model to allow for multiple contacts among hosts indicates that parameter ranges within which coexistence is predicted are thereby broadened. [KEYWORDS: Parasite population interactions; infectious-diseases; density-dependence; viscaria-vulgaris; epidemic models; salvia-lyrata; violacea; stability; patterns; biology]

Item Type:Article
Institutes:Nederlands Instituut voor Ecologie (NIOO)
ID Code:10360
Deposited On:25 Nov 2011 01:00
Last Modified:14 Oct 2013 15:22

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