| Issue |
Math. Model. Nat. Phenom.
Volume 16, 2021
|
|
|---|---|---|
| Article Number | 36 | |
| Number of page(s) | 13 | |
| DOI | https://doi.org/10.1051/mmnp/2021021 | |
| Published online | 07 June 2021 | |
A stability theorem for equilibria of delay differential equations in a critical case with application to a model of cell evolution
1
Department of Mathematics and Informatics, University Politehnica of Bucharest,
Splaiul Independentei 313,
060042
Bucharest, Romania.
2
School of Arts and Sciences, Department of Mathematics and Physics, Lebanese International University,
Bekaa, Lebanon.
* Corresponding author: irina.badralexi@gmail.com
Received:
31
August
2020
Accepted:
12
April
2021
In this paper the stability of the zero equilibrium of a system with time delay is studied. The critical case of a multiple zero root of the characteristic equation of the linearized system is treated by applying a Malkin type theorem and using a complete Lyapunov-Krasovskii functional. An application to a model for malaria under treatment considering the action of the immune system is presented.
Mathematics Subject Classification: 93A30 / 93B18 / 93C10 / 93D05 / 93D30
Key words: Stability / delay differential equation / Lyapunov-Krasovskii functional
© The authors. Published by EDP Sciences, 2021
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