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    STUDIA MATHEMATICA - Issue no. 2 / 2018  
         
  Article:   ANALYSIS OF A PLANAR DIFFERENTIAL SYSTEM ARISING FROM HEMATOLOGY.

Authors:  LORAND GABRIEL PARAJDI, RADU PRECUP.
 
       
         
  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 behaviour 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.

Mathematics Subject Classification (2010): 34A34, 34D23, 93D20.

Keywords: Nonlinear dynamic system, existence and uniqueness, continuous dependence on data, boundedness, global asymptotic stability, biomathematical model.
 
         
     
         
         
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