Open AccessDynamics analysis of Mackey-Glass model with two variable delays
Author(s) -
Yan Xiang Tan
Publication year - 2020
Publication title -
mathematical biosciences and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.451
H-Index - 45
eISSN - 1551-0018
pISSN - 1547-1063
DOI - 10.3934/mbe.2020249
Subject(s) - lemma (botany) , equilibrium point , complement (music) , correctness , variable (mathematics) , stability (learning theory) , mathematics , dynamics (music) , point (geometry) , differential equation , calculus (dental) , computer science , mathematical analysis , algorithm , physics , geometry , chemistry , ecology , acoustics , biology , biochemistry , machine learning , poaceae , complementation , gene , phenotype , dentistry , medicine
Dynamics of non-autonomous Mackey-Glass model have not been well documented yet in two variable delays case, which is proposed by Berezansky and Braverman as open problems. This manuscript considers attractivity of all non-oscillating solutions about the positive equilibrium point and the global asymptotical stability of the trivial equilibrium point. Two delay-independent criteria based on the fluctuation lemma and techniques of differential inequality are established. The obtained results improve and complement some published results. Meanwhile, computer simulations of two numerical examples are arranged to illustrate the correctness and effectiveness of the presented results.