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Threshold dynamics of a viral infection model with impulsive CTL immune response
  • Jie Wang,
  • Ruirui Yang,
  • Hai-Feng Huo
Jie Wang
Lanzhou University of Technology

Corresponding Author:[email protected]

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Ruirui Yang
Lanzhou University of Technology
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Hai-Feng Huo
Lanzhou University of Technology
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Abstract

To explore the impacts of pulse vaccination on the dynamical behaviors of virus, the current paper investigates the threshold dynamics of a viral infection model with impulsive CTL immune response. We first discuss the existence of the infection-free steady state, and define the crucial CTL-activated viral infection reproduction number $R_0$. Then, the fundamental extinction and uniform persistence behaviors of virus are distinguished by various case of the threshold parameter $R_0$. Finally, we still devote to studying special global attractivity of the positive steady state by employing the Lyapunov function. Our results indicate that high vaccination rates stimulate the CTL response more effectively, and can eventually force the virus to eradicate.