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Analysis of uncertain SIS epidemic model with nonlinear incidence and demography

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Abstract

Based on uncertainty theory, this paper studies an uncertain SIS epidemic model with nonlinear incidence and demography. The solution, \(\alpha \)-paths and uncertainty distribution of uncertain model are discussed. Under threshold conditions, extinction and permanence of the disease are studied by \(\alpha \)-paths, which reveal the relationship of deterministic and uncertain models. An example is given to illustrate the above results.

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Acknowledgements

This research is funded by the National Natural Science Foundation of China (Grant Nos. 11661076, 61563050) and the Natural Science Foundation of Xinjiang (Grant Nos. 2016D01C043, 2016D03022).

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Authors and Affiliations

  1. College of Mathematics and System Science, Xinjiang University, Urumqi, 830046, China

    Zhiming Li & Zhidong Teng

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  1. Zhiming Li
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  2. Zhidong Teng
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Correspondence to Zhidong Teng.

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Li, Z., Teng, Z. Analysis of uncertain SIS epidemic model with nonlinear incidence and demography. Fuzzy Optim Decis Making 18, 475–491 (2019). https://doi.org/10.1007/s10700-019-09303-x

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  • DOI: https://doi.org/10.1007/s10700-019-09303-x

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