Abstract
Theorems for the existence of periodic solutions for diverse models of population dynamics are obtained as corollaries of a few basic theorems, thus unifying the analysis of a broad class of scalar models in a single setting. The latter mechanism allows to obtain existence conditions for a broad class of nonlinear, non-autonomous models and models with state-dependent delays. The technique fulfills multiple roles: it can be used to expand on well-known results as well as to shorten existing proofs. We provide some examples which illustrate the applicability of our results.
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Research partially supported by: PIP 11220090100637 CONICET, Project 20020090100067 UBACyT and a grant from Vancouver Island University.
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Amster, P., Idels, L. Periodic solutions in general scalar non-autonomous models with delays. Nonlinear Differ. Equ. Appl. 20, 1577–1596 (2013). https://doi.org/10.1007/s00030-013-0222-5
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DOI: https://doi.org/10.1007/s00030-013-0222-5