Dynamics of a nonautonomous stochastic SIS epidemic model with double epidemic hypothesis
Summary: We investigate the dynamics of a nonautonomous stochastic SIS epidemic model with nonlinear incidence rate and double epidemic hypothesis. By constructing suitable stochastic Lyapunov functions and using Has'minskii theory, we prove that there exists at least one nontrivial positive periodic solution of the system. Moreover, sufficient conditions for extinction of the disease are obtained by using the theory of nonautonomous stochastic differential equations. Finally, numerical simulations are utilized to illustrate our theoretical analysis.
nonautonomous stochastic SIS epidemic model
nonautonomous stochastic differential equations
scientific article; zbMATH DE number 6821583
scientific article