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.

Авторы
Leon C. 1 , Popov V. 1 , Volpert V. 2, 3
Сборник материалов конференции
Издательство
E D P SCIENCES
Язык
Английский
Статус
Опубликовано
Номер
02002
Том
31
Год
2020
Организации
  • 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
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