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Between-group pathogen transmission: From processes to modeling

Thierry Hoch 1 Suzanne Touzeau 2, 3 Anne-France Viet 1 Pauline Ezanno 1
3 BIOCORE - Biological control of artificial ecosystems
CRISAM - Inria Sophia Antipolis - Méditerranée , INRA - Institut National de la Recherche Agronomique, LOV - Laboratoire d'océanographie de Villefranche
Abstract : Pathogen transmission is a key process in epidemiology and its mathematical form plays a pivotal role when modeling pathogen spread. Much work has been devoted to the transmission function applied to a homogeneous population structure. However, between-group transmission functions, required when different groups are identified to account for a distinct epidemiological risk, are much less documented. The aim of this study is to detail the mathematical form of five between-group transmission functions and to assess its influence on predictions in epidemiological modeling. Simulations with a two-group model were carried out so as to generate prediction differences among between-group transmission functions for a large range of situations, defined by the within-group transmission pattern, the basic reproduction number, the proportion of the whole transmission due to between-group transmission and the ratio of population sizes. Pathogen spread simulations highlighted differences in prevalence among four transmission functions (frequency-dependent, density-dependent and functions representing either a temporary mixing or a proportion of visitors exposed to infectious individuals). The differences could be seen either in long-term or in transient simulated dynamics. The fifth one, representing limited interactions at a gate, was shown to be equivalent to the density-dependent function in our parametrization when keeping constant group sizes. When considering population dynamics, particularly with increasing group sizes, this function and the density-dependent one were shown to behave opposite from each other and to differ from the other functions. This work highlights the need to carefully define the between-group transmission function when modeling pathogen spread in a heterogeneous structure. Our work brings insight into the biological grounds that could guide the choice of such a function.
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https://hal.inria.fr/hal-01815766
Contributor : Jean-Luc Gouzé <>
Submitted on : Thursday, June 14, 2018 - 2:56:30 PM
Last modification on : Thursday, December 3, 2020 - 5:28:02 PM

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Thierry Hoch, Suzanne Touzeau, Anne-France Viet, Pauline Ezanno. Between-group pathogen transmission: From processes to modeling. Ecological Modelling, Elsevier, 2018, 383, pp.138 - 149. ⟨10.1016/j.ecolmodel.2018.05.016⟩. ⟨hal-01815766⟩

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