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 R0 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 R0 is greater than unity. That solves the conjecture announced in [7].

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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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     title = {On the global attractors in one mathematical model of antiviral immunity},
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     pages = {1199--1205},
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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. https://www.numdam.org/articles/10.5802/crmath.140/

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