Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4609438 | Journal of Differential Equations | 2016 | 29 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Rafael Obaya, Ana M. Sanz,