A1431
Title: Continuous-time Markov chain models with time-dependent rates
Authors: Antonio Gomez Corral - Universidad Complutense de Madrid (Spain)
Martin Lopez Garcia - University of Leeds (United Kingdom)
Fatima Palacios Rodriguez - Universidad de Sevilla (Spain) [presenting]
Abstract: Many diseases exist that present a certain seasonality in their behavior. To model these infections, infections rates need to be considered, which take into account the time variable. To this end, a continuous-time Markov chain model with time-dependent rates is introduced. Particularly, an erlangization method is applied to the homogeneous quasi birth-death process. The most important characteristics associated with the proposed model are studied. For instance, the hitting times and the hitting probabilities are calculated.
