Analysis of an SVIC model with age-dependent infection and asymptomatic carriers

Abstract

In this paper,we formulated an age-dependent model for the transmission dynamics of HBV with vaccination. The class of acutely infectious individuals,asymptomatic carrier of host population is stratified by age. Mathematically, we established that basic reproduction number can govern the global stability of equilibria. Biologically, we verify the impacts of the asymptomatic carriers and the effectiveness of vaccination on the disease transmission through numerical simulation. Our results indicated that the more number of infectious individuals specific to frequently progressed to asymptomatic carriers, the more likely the disease can be eradicated by continuous vaccination strategies.

Keywords:

• Age-dependent model
• HBV
• Global stability
• Lyapunov function
• Basic reproduction number

AMS Subject Classifications:

• 35Q92
• 37N25
• 92D30

Acknowledgements

The authors would like to thank the anonymous referees and the editor for their helpful suggestions and comments which led to the improvement of our original manuscript.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

J. Wang was supported by National Natural Science Foundation of China [grant number 11401182], [grant number 11471089]; Science and Technology Innovation Team in Higher Education Institutions of Heilongjiang Province [grant number 2014TD005]; Youth Scientific Foundation of Heilongjiang University [grant number QL201203]; Research Foundation of Heilongjiang University [grant number HDJCCX-201618].