no. 11-12
Systèmes dynamiques
On the global attractors in one mathematical model of antiviral immunity
[Sur les attracteurs globaux dans un modèle mathématique de l’immunité antivirale]
Tsygvintsev, Alexei1 
1 ENS de Lyon, UMPA, 46 allée d’Italie, 69364 Lyon Cedex 07, FRANCE
Comptes Rendus. Mathématique, Tome 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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Révisé le :
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DOI : 10.5802/crmath.140
Classification : 92B05
Tsygvintsev, Alexei 1

1 ENS de Lyon, UMPA, 46 allée d’Italie, 69364 Lyon Cedex 07, FRANCE 
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Tsygvintsev, Alexei. On the global attractors in one mathematical model of antiviral immunity. Comptes Rendus. Mathématique, Tome 358 (2020) no. 11-12, pp. 1199-1205. doi : 10.5802/crmath.140. http://www.numdam.org/articles/10.5802/crmath.140/

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