Parasite infection in a cell population with deaths and reinfections
Charline Smadi1, 2
1 Univ. Grenoble Alpes, INRAE, LESSEM, 38000 Grenoble, France
2 Univ. Grenoble Alpes, CNRS, Institut Fourier, 38000 Grenoble, France
MathematicS In Action, Maths Bio, Tome 12 (2023) no. 1, pp. 23-47.

We introduce a model of parasite infection in a cell population, where cells can be infected, either at birth through maternal transmission, from a contact with the parasites reservoir, or because of the parasites released in the cell medium by infected cells. Inside the cells and between infection events, the quantity of parasites evolves as a general non linear branching process. We study the long time behaviour of the infection.

Publié le :
DOI : 10.5802/msia.30
Classification : 60J80, 60J85, 60H10
Mots-clés : Continuous-time and space branching Markov processes, Structured population, Long time behaviour, Birth and Death Processes
Charline Smadi 1, 2

1 Univ. Grenoble Alpes, INRAE, LESSEM, 38000 Grenoble, France
2 Univ. Grenoble Alpes, CNRS, Institut Fourier, 38000 Grenoble, France
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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Charline Smadi. Parasite infection in a cell population with deaths and reinfections. MathematicS In Action, Maths Bio, Tome 12 (2023) no. 1, pp. 23-47. doi : 10.5802/msia.30. https://msia.centre-mersenne.org/articles/10.5802/msia.30/

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