RT info:eu-repo/semantics/article
T1 The exponential ordering for nonautonomous delay systems with applications to compartmental Nicholson systems
A1 Obaya, Rafael
A1 Novo, Sylvia
A1 Sanz Gil, Ana María
A1 Villarragut, Víctor M.
K1 Nonautonomous dynamical systems
K1 Dynamical
K1 Systems
AB The exponential ordering is exploited in the context of nonautonomous delaysystems, inducing monotone skew-product semiflows under less restrictive conditionsthan usual. Some dynamical concepts linked to the order, such as semiequilibria, areconsidered for the exponential ordering, with implications for the determination ofthe presence of uniform persistence or the existence of global attractors. Also, someimportant conclusions on the long-term dynamics and attraction are obtained formonotone and sublinear delay systems for this ordering. The results are then appliedto almost periodic Nicholson systems and new conditions are given for the existenceof a unique almost periodic positive solution which asymptotically attracts everyother positive solution.
PB Cambridge University Press
SN 0308-2105
YR 2023
FD 2023
LK https://uvadoc.uva.es/handle/10324/59034
UL https://uvadoc.uva.es/handle/10324/59034
LA eng
NO Proceedings of the Royal Society of Edinburgh Section A: Mathematics , First View , pp. 1 - 32 DOI: https://doi.org/10.1017/prm.2023.24
NO Producción Científica
DS UVaDOC
RD 24-nov-2024