Open AccessLong-term behavior of nonautonomous neutral compartmental systems
Author(s) -
Sylvia Novo,
Víctor M. Villarragut
Publication year - 2022
Publication title -
electronic journal on the qualitative theory of differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.524
H-Index - 33
ISSN - 1417-3875
DOI - 10.14232/ejqtde.2022.1.7
Subject(s) - mathematics , monotone polygon , term (time) , operator (biology) , set (abstract data type) , mathematical analysis , pure mathematics , computer science , physics , geometry , biochemistry , chemistry , repressor , quantum mechanics , transcription factor , gene , programming language
The asymptotic behavior of the trajectories of compartmental systems with a general set of admissible initial data is studied. More precisely, these systems are described by families of monotone nonautonomous neutral functional differential equations with nonautonomous operator. We show that the solutions asymptotically exhibit the same recurrence properties as the transport functions and the coefficients of the neutral operator. Conditions for the cases in which the delays in the neutral and non neutral parts are different, as well as for other cases unaddressed in the previous literature are also obtained.