Abstract
A bilateral linear birth-death process with disasters in zero is considered. The Laplace transforms of the transition probabilities are determined and the steady-state distribution is analyzed. The first-visit time to zero state is also studied.
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Giorno, V., Nobile, A.G. (2013). On a Bilateral Linear Birth and Death Process in the Presence of Catastrophes. In: Moreno-Díaz, R., Pichler, F., Quesada-Arencibia, A. (eds) Computer Aided Systems Theory - EUROCAST 2013. EUROCAST 2013. Lecture Notes in Computer Science, vol 8111. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-53856-8_4
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DOI: https://doi.org/10.1007/978-3-642-53856-8_4
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