Analysis of uncertain SIS epidemic model with nonlinear incidence and demography

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.