The basic reproduction number of African trypanosomiasis disease with a periodic vector population and vertical transmission

Jingjing Zhao, Meixia Zhu, Shu Xiang

Abstract


African trypanosomiasis is a vector-borne disease transmitted to humans by tsetse flies. Assuming that the tsetse fly population’s growth rate is a periodic function, an African trypanosomiasis epidemic model with seasonality, vertical transmission and latent period is proposed. It is common knowledge that the basic reproduction number plays a vital role in a epidemic model which determines whether the disease is eradicated or not. We derive a basic reproduction number R0 which is adapted to periodic environments. Parameters are estimated from the province of Kinshasa, Democratic Republic of Congo. This model suggests that the epidemic could be stopped if the vector population were reduced by a factor R20 = 2.80.

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Published: 2019-08-06

How to Cite this Article:

Jingjing Zhao, Meixia Zhu, Shu Xiang, The basic reproduction number of African trypanosomiasis disease with a periodic vector population and vertical transmission, Communications in Mathematical Biology and Neuroscience, Vol 2019 (2019), Article ID 21

Copyright © 2019 Jingjing Zhao, Meixia Zhu, Shu Xiang. 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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