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WELL-POSEDNESS AND ASYMPTOTIC BEHAVIOUR OF SOLUTIONS FOR THE MODEL OF STEM CELLS
Author(s) : Meng Bai
Pages : [11] - [30]
Received : October 25, 2016
Communicated by : Professor Suayip Yuzbasi.
Pages : [11] - [30]
Received : October 25, 2016
Communicated by : Professor Suayip Yuzbasi.
Abstract
In this paper, we study the model of stem cells with two phases. We establish the well-posedness for this model and show that the solutions exhibit the phenomenon of asynchronous exponential growth if they don’t decay in an exponential speed to 0 as the time goes to infinity.
Keywords
stem cell, well-posedness, asynchronous exponential growth.