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Article Dans Une Revue Mathematics Année : 2020

Nonlocal Reaction–Diffusion Model of Viral Evolution: Emergence of Virus Strains

Résumé

This work is devoted to the investigation of virus quasi-species evolution and diversification due to mutations, competition for host cells, and cross-reactive immune responses. The model consists of a nonlocal reaction–diffusion equation for the virus density depending on the genotype considered to be a continuous variable and on time. This equation contains two integral terms corresponding to the nonlocal effects of virus interaction with host cells and with immune cells. In the model, a virus strain is represented by a localized solution concentrated around some given genotype. Emergence of new strains corresponds to a periodic wave propagating in the space of genotypes. The conditions of appearance of such waves and their dynamics are described.

Dates et versions

hal-03029316 , version 1 (28-11-2020)

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Nikolai Bessonov, Gennady Bocharov, Andreas Meyerhans, Vladimir Popov, Vitaly Volpert. Nonlocal Reaction–Diffusion Model of Viral Evolution: Emergence of Virus Strains. Mathematics , 2020, 8 (1), pp.1-20. ⟨10.3390/math8010117⟩. ⟨hal-03029316⟩
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