Publication: On the variance-to-mean ratio in models of parasite distributions
On the variance-to-mean ratio in models of parasite distributions
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Barbour, A. D., & Pugliese, A. (2000). On the variance-to-mean ratio in models of parasite distributions. Advances in Applied Probability, 32(3), 701–719. https://doi.org/10.1239/aap/1013540240
Abstract
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We study the variance-to-mean ratio of the distributions of parasites among hosts for some models of parasite infection, using the cohort approach. We consider a model with density dependence in parasite mortality, and two different formulations of disease induced host mortality. We show that the distributions of parasites, conditional on host survival, converge to quasi-stationary distributions as host age increases. When there is density dependence in parasite mortality, the limiting variance-to-mean ratio is less than 1 (an `under-
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- Barbour, Andrew D
- Pugliese, Andrea
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Barbour, A. D., & Pugliese, A. (2000). On the variance-to-mean ratio in models of parasite distributions. Advances in Applied Probability, 32(3), 701–719. https://doi.org/10.1239/aap/1013540240
