Feller Property for a Special Hybrid Jump-Diffusion Model

الملخص EN

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.