Delay induced stability switches in a viral dynamical model |
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Authors: | Zhou Xueyong Cui Jingan |
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Institution: | 1.School of Mathematical Sciences, Nanjing Normal University, Nanjing, 210046, Jiangsu, P.R. China ;2.College of Mathematics and Information Science, Xinyang Normal University, Xinyang, 464000, Henan, P.R. China ;3.School of Science, Beijing University of Civil Engineering and Architecture, Beijing, 100044, P.R. China ; |
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Abstract: | 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. |
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