Viruses competition in the genotype space

This paper is devoted to the study of persistence and evolution of two viruses taking into account virus mutation, reproduction, and genotype dependent mortality, either natural or determined by an antiviral treatment. The model describes the virus density distribution u(x; t) for the first virus and v(y; t) for the second one as functions of genotypes x and y considered as continuous variables and of time t. The model consists of a system of reaction-diffusion equations with integral terms characterizing virus competition for host cells. The analysis of the model shows the conditions of the existence of virus strains.

Authors
Leon C. 1 , Popov V. 1 , Volpert V. 2, 3
Conference proceedings
Publisher
E D P SCIENCES
Language
English
Status
Published
Number
02002
Volume
31
Year
2020
Organizations
  • 1 Peoples Friendship Univ Russia RUDN Univ, 6 Miklukho Maklaya St, Moscow 117198, Russia
  • 2 Univ Lyon 1, Inst Camille Jordan, CNRS, UMR 5208, F-69622 Villeurbanne, France
  • 3 INRIA Lyon Doua, INRIA Team Dracula, F-69603 Villeurbanne, France
Date of creation
20.04.2021
Date of change
20.04.2021
Short link
https://repository.rudn.ru/en/records/article/record/73147/
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