Lorenz ordering of parasite loads across hosts in Isham's model of Host-Macroparasite Interaction

Fuente: arXiv
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Autore principale: McVinish, R.
Natura: Preprint
Pubblicazione: 2025
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author McVinish, R.
author_facet McVinish, R.
contents In Isham's model of host-macroparasite interaction, parasite-induced host mortality increases parasite aggregation in the sense of the Lorenz order and related measures when the distribution of the number of parasites entering the host at infectious contacts is log-concave. Furthermore, in the presence of parasite-induce host mortality, the rate of parasite mortality may no longer have a monotone effect on aggregation.
format Preprint
id arxiv_https___arxiv_org_abs_2512_07156
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Lorenz ordering of parasite loads across hosts in Isham's model of Host-Macroparasite Interaction
McVinish, R.
Probability
60E15, 92D25, 60E10
In Isham's model of host-macroparasite interaction, parasite-induced host mortality increases parasite aggregation in the sense of the Lorenz order and related measures when the distribution of the number of parasites entering the host at infectious contacts is log-concave. Furthermore, in the presence of parasite-induce host mortality, the rate of parasite mortality may no longer have a monotone effect on aggregation.
title Lorenz ordering of parasite loads across hosts in Isham's model of Host-Macroparasite Interaction
topic Probability
60E15, 92D25, 60E10
url https://arxiv.org/abs/2512.07156