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On the global attractors in one mathematical model of antiviral immunity
[Sur les attracteurs globaux dans un modèle mathématique de l’immunité antivirale]
Comptes Rendus. Mathématique, Volume 358 (2020) no. 11-12, pp. 1199-1205.

Nous considérons le modèle mathématique introduit par Batholdy et al. [1] décrivant l’interaction entre les agents pathogènes viraux et le système immunitaire. Nous prouvons la stabilité globale asymptotique de l’état d’équilibre de l’infection si le taux de reproduction de base R 0 est supérieur à 1. Cela résout la conjecture annoncée dans [7].

We consider the mathematical model introduced by Batholdy et al. [1] describing the interaction between viral pathogens and immune system. We prove the global asymptotic stability of the infection steady-state if the basic reproductive ratio R 0 is greater than unity. That solves the conjecture announced in [7].

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DOI : 10.5802/crmath.140
Classification : 92B05

Alexei Tsygvintsev 1

1 ENS de Lyon, UMPA, 46 allée d’Italie, 69364 Lyon Cedex 07, FRANCE
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits
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     title = {On the global attractors in one mathematical model of antiviral immunity},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {1199--1205},
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     year = {2020},
     doi = {10.5802/crmath.140},
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Alexei Tsygvintsev. On the global attractors in one mathematical model of antiviral immunity. Comptes Rendus. Mathématique, Volume 358 (2020) no. 11-12, pp. 1199-1205. doi : 10.5802/crmath.140. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.140/

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