RT info:eu-repo/semantics/article T1 Uniform and strict persistence in monotone skew-product semiflows with applications to non-autonomous Nicholson systems A1 Obaya, Rafael A1 Sanz Gil, Ana María AB We determine sufficient conditions for uniform and strict persistence in the case of skew-product semiflows generated by solutions of non-autonomous families of cooperative systems of ODEs or delay FDEs in terms of the principal spectrums of some associated linear skew-product semiflows which admit a continuous separation. Our conditions are also necessary in the linear case. We apply our results to a noncooperative almost periodic Nicholson system with a patch structure, whose persistence turns out to be equivalent to the persistence of the linearized system along the null solution. PB Elsevier SN 0022-0396 YR 2016 FD 2016 LK http://uvadoc.uva.es/handle/10324/25688 UL http://uvadoc.uva.es/handle/10324/25688 LA eng NO Journal of Differential Equations 261 (2016), 4135-4163. NO Producción Científica DS UVaDOC RD 22-nov-2024