International Journal of Mathematics Trends and Technology
Volume 69 | Issue 1 | Year 2023 | Article Id. IJMTT-V69I1P514 | DOI : https://doi.org/10.14445/22315373/IJMTT-V69I1P514
| Received | Revised | Accepted | Published |
|---|---|---|---|
| 10 Dec 2022 | 11 Jan 2023 | 21 Jan 2023 | 31 Jan 2023 |
Granulocyte colony-forming stimulating factor (G-CSF) is a frequently indicated medication for the treatment of leukopenia. In order to investigate the effect of cyclic G-CSF injection on the population dynamics of HSCs, a cyclic hematopoietic HSCs (HSCs) population model was investigated. The model is composed of an ordinary differential equation with periodic coefficients and a partial differential equation, which can be transformed into a phase-structure model with state-dependent delay by means of the characteristic line method. First of all, the linearization is performed at the zero solution, the Poincare mapping and the spectral radius of the linearized system are defined, the threshold R0 is obtained, and the global dynamics of the system is analyzed. The results show that when R0<1, the zero solution is attracted globally, which indicates that the cells would become extinct. When R0<1, a positive periodic solution exists whereby the system is consistently persistent, so the cells will not disappear but will always exist.
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Linyu Yang, "A Periodic Stem Cells Population Model with State-Dependent Delay," International Journal of Mathematics Trends and Technology (IJMTT), vol. 69, no. 1, pp. 91-98, 2023. Crossref, https://doi.org/10.14445/22315373/IJMTT-V69I1P514
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