Fuzzy Optimization and Decision Making

, Volume 18, Issue 4, pp 475–491 | Cite as

Analysis of uncertain SIS epidemic model with nonlinear incidence and demography

  • Zhiming Li
  • Zhidong TengEmail author


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.


Liu process Uncertain SIS epidemic model \(\alpha \)-Path Uncertainty distribution 



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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© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.College of Mathematics and System ScienceXinjiang UniversityUrumqiChina

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