| Title:
|
Viral infection model with diffusion and state-dependent delay: a case of logistic growth (English) |
| Author:
|
Rezounenko, Alexander V. |
| Language:
|
English |
| Journal:
|
Proceedings of Equadiff 14 |
| Volume:
|
Conference on Differential Equations and Their Applications, Bratislava, July 24-28, 2017 |
| Issue:
|
2017 |
| Year:
|
|
| Pages:
|
53-60 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We propose a virus dynamics model with reaction-diffusion and logistic growth terms, intracellular state-dependent delay and a general non-linear infection rate functional response. Classical solutions with Lipschitz in-time initial functions are investigated. This type of solutions is adequate to the discontinuous change of parameters due to, for example, drug administration. The Lyapunov functions approach is used to analyse stability of interior infection equilibria which describe the cases of a chronic disease. (English) |
| Keyword:
|
Reaction-diffusion, evolution equations, Lyapunov stability, state-dependent delay, virus infection model. |
| MSC:
|
34K20 |
| MSC:
|
35K57 |
| MSC:
|
93C23 |
| MSC:
|
97M60 |
| . |
| Date available:
|
2019-09-27T07:38:13Z |
| Last updated:
|
2019-09-27 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/703023 |
| . |
| Reference:
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