Global stability of a multiple delayed viral infection model with general incidence rate and an application to HIV infection

Yu Ji

doi:10.3934/mbe.2015.12.525

Article Contents

2015, Volume 12, Issue 3: 525-536. Doi: 10.3934/mbe.2015.12.525

This issue Previous Article Optimality and stability of symmetric evolutionary games with applications in genetic selection Next Article Cell scale modeling of electropermeabilization by periodic pulses

Global stability of a multiple delayed viral infection model with general incidence rate and an application to HIV infection

Yu Ji^1,

1.
Department of Mathematics, Beijing Technology and Business University, Beijing, 100048

Received: September 30, 2014

Revised: November 30, 2014

Published: December 2014

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Abstract

In this paper, the dynamical behavior of a viral infection model with general incidence rate and two time delays is studied. By using the Lyapunov functional and LaSalle invariance principle, the global stabilities of the infection-free equilibrium and the endemic equilibrium are obtained. We obtain a threshold of the global stability for the uninfected equilibrium, which means the disease will be under control eventually. These results can be applied to a variety of viral infections of disease that would make it possible to devise optimal treatment strategies. Numerical simulations with application to HIV infection are given to verify the analytical results.

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Mathematics Subject Classification: Primary: 34K20, 34K25; Secondary: 92D30.

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