We study the threshold dynamics of a stochastic SAIRS-type model with vaccination, where role asymptomatic and symptomatic infectious individuals is explicitly considered in epidemic dynamics. In model, values disease transmission rate may switch between different levels under effect semi-Markov process. provide sufficient conditions ensuring almost surely extinction persistence time mean. case...

Using Markov-switching model, five return regimes are statislically determined for the monthly stock returns covering the period 1926 to 1992 and probabilistic inferences about these regimes are drawn. The results provide no support for the existence of the January effect. To account for the small-firm effect, again Markov-switching model Is applied to ten portfolios sorted by market value deci...

Based on Markov switching model with a bounce-back effect, this paper analyzes the data of the economic growth in China. The findings suggest that Markov switching model with a rebound effect fits the macroeconomic growth data in our country better. What’s more, we can also see that the economic fluctuation in our country not only is characterized by its obvious nonlinearity and asymmetry but h...