Research ArticlesNo Access

Mixing in regional-structure model about the influence of floating population and optimal control about TB in Guangdong province of China

Chuanqing Xu

School of Science, Beijing University of Civil Engineering and Architecture, Beijing 100044, P. R. China

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Xiaoxiao Wei

School of Science, Beijing University of Civil Engineering and Architecture, Beijing 100044, P. R. China

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Jingan Cui

School of Science, Beijing University of Civil Engineering and Architecture, Beijing 100044, P. R. China

E-mail Address: cuijingan@bucea.edu.cn

Corresponding author.

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Xiaojing Wang

School of Science, Beijing University of Civil Engineering and Architecture, Beijing 100044, P. R. China

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, and

Dashun Xu

Mathematics Department, Southern Illinois University of Carbondale, IL 62901, USA

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https://doi.org/10.1142/S1793524517501066Cited by:7 (Source: Crossref)

Abstract

In the last 60 years, great progress has been made in controlling and preventing tuberculosis in China. However, the number of tuberculosis cases has increased dramatically in the last 25 years, mainly due to the lack of effective control measures of immigrating populations with tuberculosis. In order to explore the effective control and prevention measures we propose a deterministic model to study the transmission dynamics of tuberculosis in Guangdong province of China in this paper. The model consists of susceptible, exposed and infectious recovered subpopulations of immigrating populations from other provinces and the local population of Guangdong. We obtain the effective reproduction number. Based on the analysis, we also establish an optimal immune programming model, and get the optimal proportion of vaccine coverage with control of the effective reproduction number. Simulation is used to determine the validation and reliability. Our study demonstrates that the immigrating population from different provinces needs to be vaccinated according to the incidence rate of TB in their original provinces, and it is an effective way to prevent the outbreak of tuberculosis in Guangdong.

Keywords:

AMSC: 34K20, 34H05

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