| bibtype |
C -
Conference Paper (international conference)
|
| ARLID |
0487969 |
| utime |
20240103215759.1 |
| mtime |
20180313235959.9 |
| WOS |
000426796700007 |
| title
(primary) (eng) |
Viral infection model with diffusion and state-dependent delay: a case of logistic growth |
| specification |
| page_count |
8 s. |
| media_type |
P |
|
| serial |
| ARLID |
cav_un_epca*0487968 |
| ISBN |
978-80-227-4757-8 |
| title
|
Proceedings of EQUADIFF 2017 Conference |
| page_num |
53-60 |
| publisher |
| place |
Bratislava |
| name |
Slovak University of Technology |
| year |
2017 |
|
| editor |
|
| editor |
|
| editor |
|
|
| keyword |
Reaction-diffusion |
| keyword |
evolution equations |
| keyword |
Lyapunov stability |
| keyword |
state-dependent delay |
| keyword |
virus infection model |
| author
(primary) |
| ARLID |
cav_un_auth*0282033 |
| name1 |
Rezunenko |
| name2 |
Oleksandr |
| full_dept (cz) |
Adaptivní systémy |
| full_dept (eng) |
Department of Adaptive Systems |
| department (cz) |
AS |
| department (eng) |
AS |
| institution |
UTIA-B |
| full_dept |
Department of Adaptive Systems |
| country |
UA |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| source |
|
| cas_special |
| project |
| ARLID |
cav_un_auth*0335261 |
| project_id |
GA16-06678S |
| agency |
GA ČR |
| country |
CZ |
|
| abstract
(eng) |
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. |
| action |
| ARLID |
cav_un_auth*0359189 |
| name |
EQUADIFF 2017 |
| dates |
20170724 |
| mrcbC20-s |
20170728 |
| place |
Bratislava |
| country |
SK |
|
| RIV |
BC |
| FORD0 |
10000 |
| FORD1 |
10200 |
| FORD2 |
10201 |
| reportyear |
2018 |
| presentation_type |
PR |
| inst_support |
RVO:67985556 |
| permalink |
http://hdl.handle.net/11104/0282592 |
| confidential |
S |
| mrcbC86 |
n.a. Proceedings Paper Mathematics |
| mrcbC86 |
n.a. Proceedings Paper Mathematics |
| mrcbC86 |
n.a. Proceedings Paper Mathematics |
| arlyear |
2017 |
| mrcbU14 |
SCOPUS |
| mrcbU24 |
PUBMED |
| mrcbU34 |
000426796700007 WOS |
| mrcbU63 |
cav_un_epca*0487968 Proceedings of EQUADIFF 2017 Conference Slovak University of Technology 2017 Bratislava 53 60 978-80-227-4757-8 |
| mrcbU67 |
340 Mikula K. |
| mrcbU67 |
340 Ševčovič D. |
| mrcbU67 |
340 Urbán J. |
|