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Analysis of uncertain SIS epidemic model with nonlinear incidence and demography

Zhiming Li and Zhidong Teng ()
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Zhiming Li: Xinjiang University
Zhidong Teng: Xinjiang University

Fuzzy Optimization and Decision Making, 2019, vol. 18, issue 4, No 4, 475-491

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

Keywords: Liu process; Uncertain SIS epidemic model; $$\alpha $$ α -Path; Uncertainty distribution (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s10700-019-09303-x

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