caa a22 4500 445360917 CHVBK 20180317142915.0 cr unu---uuuuu 170323e20110301xx s 000 0 eng 10.1007/s11071-010-9837-9 doi (NATIONALLICENCE)springer-10.1007/s11071-010-9837-9 Delay induced stability switches in a viral dynamical model [Elektronische Daten] [Xueyong Zhou, Jingan Cui] In this paper, a delay-differential mathematical model that described HIV infection of CD4+ T cells is analyzed. The effect of time delay on stability of the equilibria of the infection model has been studied. And the sufficient criteria for stability switch of the infected equilibrium and the local and global asymptotic stability of the uninfected equilibrium are given. By using the geometric stability switch criterion in the delay-differential system with delay-dependent parameters, we present that stable equilibria become unstable as the time delay increases. Numerical simulations are carried out to explain the mathematical conclusions. Springer Science+Business Media B.V., 2010 Viral dynamical model nationallicence Stability switch nationallicence Intracellular delay nationallicence Zhou Xueyong School of Mathematical Sciences, Nanjing Normal University, 210046, Nanjing, Jiangsu, P.R. China aut Cui Jingan School of Science, Beijing University of Civil Engineering and Architecture, 100044, Beijing, P.R. China aut Nonlinear Dynamics Springer Netherlands 63/4(2011-03-01), 779-792 0924-090X 63:4<779 2011 63 11071 https://doi.org/10.1007/s11071-010-9837-9 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11071-010-9837-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Zhou Xueyong School of Mathematical Sciences, Nanjing Normal University, 210046, Nanjing, Jiangsu, P.R. China aut NATIONALLICENCE 700 1- Cui Jingan School of Science, Beijing University of Civil Engineering and Architecture, 100044, Beijing, P.R. China aut NATIONALLICENCE 773 0- Nonlinear Dynamics Springer Netherlands 63/4(2011-03-01), 779-792 0924-090X 63:4<779 2011 63 11071 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer