| Title:
|
Viral in-host infection model with two state-dependent delays: stability of continuous solutions (English) |
| Author:
|
Fedoryshyna, Kateryna |
| Author:
|
Rezounenko, Alexander |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
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0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
146 |
| Issue:
|
1 |
| Year:
|
2021 |
| Pages:
|
91-114 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
A virus dynamics model with two state-dependent delays and logistic growth term is investigated. A general class of nonlinear incidence rates is considered. The model describes the in-host interplay between viral infection and CTL (cytotoxic T lymphocytes) and antibody immune responses. The wellposedness of the model proposed and Lyapunov stability properties of interior infection equilibria which describe the cases of a chronic disease are studied. We choose a space of merely continuous initial functions which is appropriate for therapy, including drug administration. (English) |
| Keyword:
|
evolution equation |
| Keyword:
|
state-dependent delay |
| Keyword:
|
Lyapunov stability |
| Keyword:
|
virus infection model |
| MSC:
|
34K20 |
| MSC:
|
93C23 |
| MSC:
|
97M60 |
| idZBL:
|
07332744 |
| idMR:
|
MR4227313 |
| DOI:
|
10.21136/MB.2020.0028-19 |
| . |
| Date available:
|
2021-03-12T16:21:00Z |
| Last updated:
|
2021-04-19 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148749 |
| . |
| Reference:
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