0487969 20240103215759.120180313235959.9 000426796700007 8 s. P cav_un_epca*0487968978-80-227-4757-853-60BratislavaSlovak University of Technology2017MikulaK.ŠevčovičD.UrbánJ. Reaction-diffusion evolution equations Lyapunov stability state-dependent delay virus infection model cav_un_auth*0282033 Rezunenko Oleksandr Adaptivní systémy Department of Adaptive Systems AS AS UTIA-B Department of Adaptive Systems UA Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2017/AS/rezunenko-0487969.pdf cav_un_auth*0335261 GA16-06678S GA ČR CZ 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. cav_un_auth*0359189 EQUADIFF 2017 20170724 20170728 Bratislava SK BC 10000 10200 10201 2018 PR RVO:67985556 http://hdl.handle.net/11104/0282592 S n.a. Proceedings Paper Mathematics n.a. Proceedings Paper Mathematics n.a. Proceedings Paper Mathematics 2017 SCOPUS PUBMED 000426796700007 WOS cav_un_epca*0487968 Proceedings of EQUADIFF 2017 Conference Slovak University of Technology 2017 Bratislava 53 60 978-80-227-4757-8 340 Mikula K. 340 Ševčovič D. 340 Urbán J.