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Schistosomiasis Transmission Model and its Control in Anhui Province

  • Longxing Qi
  • Meng Xue
  • Jing-an Cui
  • Qizhi Wang
  • Tianping Wang
Original Article
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Abstract

National Bureau of Statistics of China reports that the incidence of schistosomiasis has been increasing in recent years. To study dynamic behaviors of schistosomiasis transmission, based on practical experience of staff in Anhui Institute of Schistosomiasis, a mathematical schistosomiasis model with reinfection of recovered people is established in this paper. Metzler matrix theory and center manifold theorem are used to analyze stability of equilibria. Parameter estimation has been performed by combining model and monitoring data. It is found that the basic reproduction number is different every year. The most concern of Institute of Schistosomiasis is whether or when to kill snails every year. To answer this question, threshold value of snail density can be obtained. Once the snail density exceeds the threshold, the staff will need to kill snails. To find the best control measures, sensitivity analysis is used to find out sensitive parameters, and then control measures can be obtained by optimization control measures. The results show that combination of spraying molluscicide, publicity and education, improving the health facilities, and large-scale treatment of patient groups have the best effect. In additional, it is found that the number of patients does not change much when the reinfection rate of recovered people is very small. However, when the reinfection rate is slightly larger, the number of patients will suddenly increase to a large value.

Keywords

Schistosomiasis Mathematical model Monitoring data Snail threshold Control measures 

Notes

Acknowledgements

This research is supported by National Natural Science Foundation of China (11401002) and Natural Science Fund for Colleges and Universities in Anhui Province (KJ2018A0029).

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Copyright information

© Society for Mathematical Biology 2018

Authors and Affiliations

  • Longxing Qi
    • 1
  • Meng Xue
    • 1
  • Jing-an Cui
    • 2
  • Qizhi Wang
    • 3
  • Tianping Wang
    • 3
  1. 1.School of Mathematical SciencesAnhui UniversityHefeiPeople’s Republic of China
  2. 2.College of ScienceBeijing University of Civil Engineering and ArchitectureBeijingPeople’s Republic of China
  3. 3.Anhui Institute of SchistosomiasisHefeiPeople’s Republic of China

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