| Abstract: |
| In this study, we investigate a mathematical model for hematopoietic stem cells. The model is described by a system of partial differential equations, which depend on space and age. By applying the method of characteristics, we reformulate the model into a reaction-diffusion equation with a nonlocal spatial term and time delay. We prove the existence, uniqueness and positivity of the solution, and obtain a threshold condition for the global asymptotic stability of the trivial equilibrium. Moreover, we obtain sufficient conditions for the existence of nontrivial equilibrium and the uniform persistence of the system. |
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