Pseudo almost periodic dynamical behaviors of hematopoiesis model
UDC 517.929, 517.518 We present a hematopoiesis model with nonlinear harvesting terms. By using the fixed-point theorem and constructing suitable Lyapunov functionals, we establish new sufficient criteria required to guarantee the existence and uniqueness of positive pseudo almost periodic solution...
Saved in:
| Date: | 2026 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2026
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/9592 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
Institution
Ukrains’kyi Matematychnyi Zhurnal| Summary: | UDC 517.929, 517.518
We present a hematopoiesis model with nonlinear harvesting terms. By using the fixed-point theorem and constructing suitable Lyapunov functionals, we establish new sufficient criteria required to guarantee the existence and uniqueness of positive pseudo almost periodic solutions for the considered model with Stepanov-like pseudo almost periodic coefficients. Furthermore, the exponential stability of the obtained solution is investigated. It is shown that every positive solution exponentially converges to a unique positive pseudo almost periodic solution. Finally, an illustrative example is provided to demonstrate the efficiency of our theoretical results. |
|---|---|
| DOI: | 10.3842/umzh.v78i7-8.9592 |