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

Autor:	Ragheb Mghames, Irina Badralexi, Andrei Halanay, Karim Amin
Rok vydání:	2021
Předmět:	0303 health sciences Applied Mathematics Zero (complex analysis) Characteristic equation Delay differential equation Type (model theory) 01 natural sciences Stability (probability) Action (physics) 010305 fluids & plasmas 03 medical and health sciences Modeling and Simulation 0103 physical sciences Applied mathematics Stability theorem 030304 developmental biology Mathematics
Zdroj:	Mathematical Modelling of Natural Phenomena. 16:36
ISSN:	1760-6101 0973-5348
DOI:	10.1051/mmnp/2021021
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::f24502ac6ff739d6bd7bf5e5af7fd087 https://doi.org/10.1051/mmnp/2021021 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
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