Long-term behavior of nonautonomous neutral compartmental systems

Author:

Novo Sylvia1ORCID,Villarragut Víctor2ORCID

Affiliation:

1. University of Valladolid

2. Universidad Politécnica de Madrid

Abstract

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.

Publisher

University of Szeged

Subject

Applied Mathematics

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