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1. A stability theorem for equilibria of delay differential equations in a critical case with application to a model of cell evolution.

Author

Amin, Karim, Badralexi, Irina, Halanay, Andrei, and Mghames, Ragheb

Subjects
*CELLULAR evolution, *TIME delay systems, *DELAY differential equations, *EQUILIBRIUM
Abstract

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. [ABSTRACT FROM AUTHOR]

Published
2021
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