Article no.2

Analysis of a Planar Differential System Arising from HematologyResearch Paper, June 25, 2018 / Lorand Gabriel Parajdi

Published in Studia Universitatis Babeş-Bolyai Mathematica, 63(2), 235–244, DOI: 10.24193/subbmath.2018.2.07, 2018.

  The full paper is available on the Studia Universitatis Babeş-Bolyai Mathematica website:https://www.cs.ubbcluj.ro/~studia-m/index.php/journal/article/view/352/pdf

Authors: Lorand Gabriel Parajdi1 and Radu Precup1 1 Department of Mathematics, “Babeş–Bolyai” University, Cluj-Napoca, Romania

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.

Subject Classification: 34A34, 34D23, 93D20

Keywords: Nonlinear dynamic system; Existence and uniqueness; Continuous dependence on data; Boundedness; Global asymptotic stability; Biomathematical model.

Cite As:  L.G. Parajdi and R. Precup, Analysis of a planar differential system arising from hematology, Stud. Univ. Babeș-Bolyai Math. 63(2018), No. 2, 235–244. DOI: 10.24193/subbmath.2018.2.07

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