Journal of Applied Mathematics and Computing

, Volume 46, Issue 1–2, pp 305–319 | Cite as

Threshold dynamics for a nonautonomous schistosomiasis model in a periodic environment

Original Research

Abstract

In this paper, we investigate a nonautonomous schistosomiasis model in a periodic environment. We obtain a threshold value between the extinction and the uniform persistence. Our main results show that the disease persists if the threshold value is larger than unity. We also prove that there exists a positive periodic solution. Numerical simulations which support our theoretical analysis are also given.

Keywords

Nonautonomous schistosomiasis model Periodic systems Uniform permanence Extinction 

Mathematics Subject Classification

34D23 92D30 

Notes

Acknowledgements

The research has been supported by the Natural Science Foundation of China (No. 11261004), China Postdoctoral Science Foundation funded project (No. 2012M510039) and the National Key Technologies R & D Program of China (2009BAI78B02), the Natural Science Foundation of Jiangxi Province (20122BAB211010) and the Postgraduate Innovation Fund of Jiangxi Province (YC2012-5121).

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Copyright information

© Korean Society for Computational and Applied Mathematics 2014

Authors and Affiliations

  1. 1.Key Laboratory of Jiangxi Province for Numerical Simulation and Emulation TechniquesGannan Normal UniversityGanzhouP.R. China

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