Geodesic
A multi-scale epidemic model of Salmonella infection with heterogeneous shedding
Simon Labarthe1 ; Béatrice Laroche1 ; Thi Nhu Thao Nguyen2 ; Bastien Polizzi3 ; Florian Patout4 ; Magali Ribot5 ; Tabea Stegmaier6
1 MalAGE, INRA, Université Paris-Saclay, 78350 Jouy-en-Josas, France
2 Laboratoire de Mathématiques de Besanҫon, UMR CNRS 6623, Université Bourgogne Franche-Comté
3 Université Claude Bernard Lyon 1, CNRS UMR 5208, Institut Camille Jordan
4 UMPA, Ecole Normale Supérieure de Lyon, UMR CNRS 5669
5 IDP, Université d’Orléans, Université de Tours, CNRS UMR 7013
6 Interdisziplinären Forschungsgruppe zur Analyse biologischer Risiken, Universität Hamburg
ESAIM. Proceedings, Tome 67 (2020), pp. 261-284.

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Salmonella strains colonize the digestive tract of farm livestock, such as chickens or pigs, without affecting them, and potentially infect food products, representing a threat for human health ranging from food poisoning to typhoid fever. It has been shown that the ability to excrete the pathogen in the environment and contaminate other animals is variable. This heterogeneity in pathogen carriage and shedding results from interactions between the host’s immune response, the pathogen and the commensal intestinal microbiota. In this paper we propose a novel generic multiscale modeling framework of heterogeneous pathogen transmission in an animal population. At the intra-host level, the model describes the interaction between the commensal microbiota, the pathogen and the inflammatory response. Random fluctuations in the ecological dynamics of the individual microbiota and transmission at between-host scale are added to obtain a drift-diffusion PDE model of the pathogen distribution at the population level. The model is further extended to represent transmission between several populations. The asymptotic behavior as well as the impact of control strategies including cleaning and antimicrobial administration are investigated through numerical simulation.
DOI : 10.1051/proc/202067015

Simon Labarthe 1 ; Béatrice Laroche 1 ; Thi Nhu Thao Nguyen 2 ; Bastien Polizzi 3 ; Florian Patout 4 ; Magali Ribot 5 ; Tabea Stegmaier 6

1 MalAGE, INRA, Université Paris-Saclay, 78350 Jouy-en-Josas, France
2 Laboratoire de Mathématiques de Besanҫon, UMR CNRS 6623, Université Bourgogne Franche-Comté
3 Université Claude Bernard Lyon 1, CNRS UMR 5208, Institut Camille Jordan
4 UMPA, Ecole Normale Supérieure de Lyon, UMR CNRS 5669
5 IDP, Université d’Orléans, Université de Tours, CNRS UMR 7013
6 Interdisziplinären Forschungsgruppe zur Analyse biologischer Risiken, Universität Hamburg 
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     title = {A multi-scale epidemic model of {Salmonella} infection with heterogeneous shedding},
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Simon Labarthe; Béatrice Laroche; Thi Nhu Thao Nguyen; Bastien Polizzi; Florian Patout; Magali Ribot; Tabea Stegmaier. A multi-scale epidemic model of Salmonella infection with heterogeneous shedding. ESAIM. Proceedings, Tome 67 (2020), pp. 261-284. doi : 10.1051/proc/202067015. http://geodesic.mathdoc.fr/articles/10.1051/proc/202067015/

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