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Threshold dynamics for a nonautonomous schistosomiasis model in a periodic environment

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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.

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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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Authors and Affiliations

  1. Key Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques, Gannan Normal University, Ganzhou, 341000, P.R. China

    Xiangyu Zhang, Shujing Gao & Huahua Cao

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  1. Xiangyu Zhang
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  2. Shujing Gao
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  3. Huahua Cao
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Correspondence to Shujing Gao.

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Zhang, X., Gao, S. & Cao, H. Threshold dynamics for a nonautonomous schistosomiasis model in a periodic environment. J. Appl. Math. Comput. 46, 305–319 (2014). https://doi.org/10.1007/s12190-013-0750-5

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  • DOI: https://doi.org/10.1007/s12190-013-0750-5

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