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Journal of Applied Mathematics and Computing

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10-09-2016 | Original Research

Existence and multiplicity of periodic solutions for a generalized hematopoiesis model

Authors: Pablo Amster, Rocío Balderrama

Published in: Journal of Applied Mathematics and Computing | Issue 1-2/2017

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Abstract

A generalization of the nonautonomous Mackey–Glass equation for the regulation of the hematopoiesis with several non-constant delays is studied. Using topological degree methods we prove, under appropriate conditions, the existence of multiple positive periodic solutions. Moreover, we show that the conditions are necessary, in the sense that if some sort of complementary conditions are assumed then the trivial equilibrium is a global attractor for the positive solutions and hence periodic solutions do not exist.

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Title: Existence and multiplicity of periodic solutions for a generalized hematopoiesis model
Authors: Pablo Amster
Rocío Balderrama
Publication date: 10-09-2016
Publisher: Springer Berlin Heidelberg
Published in: Journal of Applied Mathematics and Computing / Issue 1-2/2017
Print ISSN: 1598-5865
Electronic ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-016-1051-6

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