A model for hepatitis B disease with age-dependent susceptibility and vertical transmission

Elvis Duplex Houpa Danga, Alex Nguelbe, Yannick Kouakep Tchaptchie

Abstract


In this paper, we construct a SEI model for hepatitis B where the susceptibility and transmission probabilities depend on the chronological age. We extend results of (Houpa et al, 2014) who studied it without vertical transmission. Moreover, we derive the basic reproductive rate R0. Under given assumptions, we prove that the disease free equilibrium is globally asymptotically stable if R0 <1; the endemic equilibrium is globally asymptotically stable if R0 >1 and that the system is uniformly persistent. Numerical simulations are carried out to illustrate our results.

https://doi.org/10.28919/cmbn/3126


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Published: 2017-03-20

How to Cite this Article:

Elvis Duplex Houpa Danga, Alex Nguelbe, Yannick Kouakep Tchaptchie, A model for hepatitis B disease with age-dependent susceptibility and vertical transmission, Communications in Mathematical Biology and Neuroscience, Vol 2017 (2017), Article ID 9

Copyright © 2017 Elvis Duplex Houpa Danga, Alex Nguelbe, Yannick Kouakep Tchaptchie. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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