Analysis of a planar differential system arising from hematology

Abstract

A complete analysis of a planar dynamic system arising from hematology is provided to confirm the conclusions of computer simulations. Existence and uniqueness for the Cauchy problem, boundedness of solutions and their asymptotic behavior to infinity are established. Particularly, the global asymptotic stability of a steady state is proved in each of the following cases related to leukemia: normal, chronic and accelerated-acute.

Authors

Lorand Gabriel Parajdi
Babes-Bolyai University, Department of Mathematics Cluj-Napoca, Romania

Radu Precup
Department of Mathematics Babes-Bolyai University, Cluj-Napoca, Romania

Keywords

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Paper coordinates

R. Precup, L.G. Parajdi, Analysis of a planar differential system arising from hematology, Stud. Univ. Babeş-Bolyai Math. 63 (2018), 235-244, https://doi.org/10.24193/subbmath.2018.2.07

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About this paper

Journal

Studia Universitatis

Publisher Name
DOI
Print ISSN

1843-3855

Online ISSN

2065-9490

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