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Abstract and Applied Analysis
Volume 2014 (2014), Article ID 412848, 8 pages
Research Article

Feller Property for a Special Hybrid Jump-Diffusion Model

School of Science, Donghua University, Shanghai 201620, China

Received 13 December 2013; Accepted 15 February 2014; Published 23 April 2014

Academic Editor: Litan Yan

Copyright © 2014 Jinying Tong. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We consider the stochastic stability for a hybrid jump-diffusion model, where the switching here is a phase semi-Markovian process. We first transform the process into a corresponding jump-diffusion with Markovian switching by the supplementary variable technique. Then we prove the Feller and strong Feller properties of the model under some assumptions.