Periodic solutions of nonautonomous Mackey-type systems with delays

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2013

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Amster, Pablo
Idels, Lev

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Abstract

Nonautonomous systems of delay differential equations, that model classical Mackey-type hematopoietic stem cell dynamics and Mackey-type circuit systems, are under study. Explicit sufficient and necessary conditions for the existence of positive periodic solutions were obtained via topological methods. Numerical simulations have also been presented to demonstrate the theoretical analysis.

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This is a pre-copyedited, pre-peer reviewed, author produced manuscript version of an article published as: Amster, P. & Idels, L. (2013). Periodic solutions of nonautonomous Mackey-type systems with delays. Journal of Abstract Differential Equations and Applications, 4(1), 11-22. Journal of Abstract Differential Equations and Applications is available online at: http://math-res-pub.org/jadea and this article is available at: http://math-res-pub.org/jadea/4/1/periodic-solutions-nonautonomous-mackey-type-systems-delays

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