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Delay induced stability switches in a viral dynamical model

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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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Authors and Affiliations

  1. School of Mathematical Sciences, Nanjing Normal University, Nanjing, 210046, Jiangsu, P.R. China

    Xueyong Zhou

  2. College of Mathematics and Information Science, Xinyang Normal University, Xinyang, 464000, Henan, P.R. China

    Xueyong Zhou

  3. School of Science, Beijing University of Civil Engineering and Architecture, Beijing, 100044, P.R. China

    Jingan Cui

Authors
  1. Xueyong Zhou
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  2. Jingan Cui
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Correspondence to Jingan Cui.

Additional information

This work is supported by the National Natural Science Foundation of China (Nos. 10771104 and 11071011), PHR(IHLB), Program for Innovative Research Team (in Science and Technology) in University of Henan Province (2010IRTSTHN006) and Innovation Scientists and Technicians Troop Construction Projects of Henan Province (104200510011), Program for Key Laboratory of Simulation and Control for Population Ecology in Xinyang Normal University (No. 201004), Natural Science Foundation of the Education Department of Henan Province (Nos. 2009B110020 and 2010A110017) and Colleges and Universities in Jiangsu Province Plans to Graduate Research.

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Zhou, X., Cui, J. Delay induced stability switches in a viral dynamical model. Nonlinear Dyn 63, 779–792 (2011). https://doi.org/10.1007/s11071-010-9837-9

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  • DOI: https://doi.org/10.1007/s11071-010-9837-9

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