Nonlocal Reaction–Diffusion Model of Viral Evolution: Emergence of Virus Strainsстатья
Статья опубликована в высокорейтинговом журнале
Информация о цитировании статьи получена из
Web of Science,
Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 3 июня 2020 г.
Аннотация:This work is devoted to the investigation of virus quasi-species evolution and diversificationdue to mutations, competition for host cells, and cross-reactive immune responses. The model consistsof a nonlocal reaction–diffusion equation for the virus density depending on the genotype consideredto be a continuous variable and on time. This equation contains two integral terms corresponding tothe nonlocal effects of virus interaction with host cells and with immune cells. In the model, a virusstrain is represented by a localized solution concentrated around some given genotype. Emergenceof new strains corresponds to a periodic wave propagating in the space of genotypes. The conditionsof appearance of such waves and their dynamics are described.