An Stochastic Epidemic Model with Two Types of Infectious Diseases and
In this paper, a stochastic epidemic model with two different types of
infectious diseases that spread through both horizontal and vertical
transmission is investigaed. By constructing suitable Lyapunov functions
and applying Itˆ o’s formula as well as Chebyshev’s inequality, the
sufficient conditions for stochastic ultimate boundedness and permanence
are established. The reliability of theoretical results are further
illustrated by numerical simulations.