Study of the brucellosis transmission with multi-stage

Ke Meng, Xamxinur Abdurahman

Abstract


In this paper, based on characteristics of brucellosis infection in some regions in China, a multi-stage dynamic model is proposed for sheep brucellosis transmission. The birth rate is related to the adult and vaccinated sheep. More realistically, the immigration from other place is also considered. Firstly, the basic reproduction number $ R_{0}$ is determined and the dynamical properties of the model is discussed. It is concluded that the unique endemic equilibrium exists when $ R_{0}>1$. By constructing suitable Lyapunov function, the global stability of the endemic equilibrium is verified. By carrying out sensitivity analysis of the basic reproduction number in term of the parameters, it is concluded that increasing the sheep vaccination rate and elimination rate of infected sheep is important for the control brucellosis.

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Published: 2018-10-31

How to Cite this Article:

Ke Meng, Xamxinur Abdurahman, Study of the brucellosis transmission with multi-stage, Communications in Mathematical Biology and Neuroscience, Vol 2018 (2018), Article ID 20

Copyright © 2018 Ke Meng, Xamxinur Abdurahman. 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.

Commun. Math. Biol. Neurosci.

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