Analysis of uncertain SIS epidemic model with nonlinear incidence and demography
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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.
KeywordsLiu 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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