| Title: |
Nonlocal Reaction–Diffusion Model of Viral Evolution: Emergence of Virus Strains |
| Authors: |
Nikolai Bessonov; Gennady Bocharov; Andreas Meyerhans; Vladimir Popov; Vitaly Volpert |
| Source: |
Mathematics ; Volume 8 ; Issue 1 ; Pages: 117 |
| Publisher Information: |
Multidisciplinary Digital Publishing Institute |
| Publication Year: |
2020 |
| Collection: |
MDPI Open Access Publishing |
| Subject Terms: |
virus density distribution; genotype; virus infection; immune response; resistance to treatment; nonlocal interaction; quasi-species diversification |
| Description: |
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. |
| Document Type: |
text |
| File Description: |
application/pdf |
| Language: |
English |
| Relation: |
E2: Control Theory and Mechanics; https://dx.doi.org/10.3390/math8010117 |
| DOI: |
10.3390/math8010117 |
| Availability: |
https://doi.org/10.3390/math8010117 |
| Rights: |
https://creativecommons.org/licenses/by/4.0/ |
| Accession Number: |
edsbas.65647391 |
| Database: |
BASE |