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Analysis of a viral infection model with immune impairment, intracellular delay and general non-linear incidence rate

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  • Avila-Vales, Eric
  • Chan-Chí, Noé
  • García-Almeida, Gerardo

Abstract

In this article we study the dynamical behaviour of a intracellular delayed viral infection with immune impairment model and general non-linear incidence rate. Several techniques, including a non-linear stability analysis by means of the Lyapunov theory and sensitivity analysis, have been used to reveal features of the model dynamics. The classical threshold for the basic reproductive number is obtained: if the basic reproductive number of the virus is less than one, the infection-free equilibrium is globally asymptotically stable and the infected equilibrium is globally asymptotically stable if the basic reproductive number is higher than one.

Suggested Citation

  • Avila-Vales, Eric & Chan-Chí, Noé & García-Almeida, Gerardo, 2014. "Analysis of a viral infection model with immune impairment, intracellular delay and general non-linear incidence rate," Chaos, Solitons & Fractals, Elsevier, vol. 69(C), pages 1-9.
    • Handle: RePEc:eee:chsofr:v:69:y:2014:i:c:p:1-9
    DOI: 10.1016/j.chaos.2014.08.009
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    References listed on IDEAS

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    1. Mingming Li & Xianning Liu, 2014. "An SIR Epidemic Model with Time Delay and General Nonlinear Incidence Rate," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-7, February.
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