Stationarity in moment closure and quasi-stationarity of the SIS model.

Extinction and Quasi-Stationarity in the Stochastic Logistic SIS Model - ReadingSample

Determination of Climate Changes on Streamflow Process in the West of Lake Urmia With Used to Trend and Stationarity Analysis

One of the most important hydrological time series task is to determine if there is any trend in the data and how to achieve stationarity when there is nonstationarity behavior in data. Detecting trend and stationarity in hydrological time series may help us to understand the possible links between hydrological processes and global climate changes. In this study yearly, monthly and daily stream...

Determination of Climate Changes on Streamflow Process in the West of Lake Urmia With Used to Trend and Stationarity Analysis

One of the most important hydrological time series task is to determine if there is any trend in the data and how to achieve stationarity when there is nonstationarity behavior in data. Detecting trend and stationarity in hydrological time series may help us to understand the possible links between hydrological processes and global climate changes. In this study yearly, monthly and daily stream...

A Stochastic Sis Infection Model Incorporating Indirect Transmission

We describe a stochastic susceptible–infective–susceptible (SIS) model for transmission of infectious disease through a population, incorporating both direct host–host transmission and indirect transmission via free-living infectious stages (e.g. environmental bacteria). Existence of a quasi-stationary distribution conditional upon nonextinction of infection is established. A bivariate Ornstein...

A stochastic SIS epidemic with demography: initial stages and time to extinction.

We study an open population stochastic epidemic model from the time of introduction of the disease, through a possible outbreak and to extinction. The model describes an SIS (susceptible-infective-susceptible) epidemic where all individuals, including infectious ones, reproduce at a given rate. An approximate expression for the outbreak probability is derived using a coupling argument. Further,...