On the global attractors in one mathematical model of antiviral immunity

Alexei Tsygvintsev (1)

1 UMPA-ENSL - Unité de Mathématiques Pures et Appliquées

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].

Domaines: Science non linéaire [physics]; Mathématiques [math]; Immunologie; Virologie

Alexei Tsygvintsev. On the global attractors in one mathematical model of antiviral immunity. C. R.Acad.Sci.Paris Ser. I, In press, ⟨10.1101/2020.10.16.343145⟩. ⟨ensl-03051641⟩