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oai:uvadoc.uva.es:10324/256882021-06-24T07:41:05Zcom_10324_32197com_10324_952com_10324_894com_10324_1145com_10324_931col_10324_32199col_10324_1254

00925njm 22002777a 4500 dc Obaya, Rafael author Sanz Gil, Ana María author 2016 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. Journal of Differential Equations 261 (2016), 4135-4163. 0022-0396 http://uvadoc.uva.es/handle/10324/25688 10.1016/j.jde.2016.06.019 Uniform and strict persistence in monotone skew-product semiflows with applications to non-autonomous Nicholson systems