Fuzzy Optimization and Decision Making

, Volume 18, Issue 4, pp 475–491

# Analysis of uncertain SIS epidemic model with nonlinear incidence and demography

Article

## 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.

## Keywords

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

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