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Transient probabilities for a simple birth-death-immigration process under the influence of total catastrophes

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  • Randall J. Swift

Abstract

The transient probabilities for a simple birth-death-immigration process are considered. Catastrophes occur at a constant rate, and when they occur, reduce the population to size zero.

Suggested Citation

  • Randall J. Swift, 2001. "Transient probabilities for a simple birth-death-immigration process under the influence of total catastrophes," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 25, pages 1-4, January.
    • Handle: RePEc:hin:jijmms:514341
    DOI: 10.1155/S0161171201005762
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    Cited by:

    1. Román Zapién-Campos & Michael Sieber & Arne Traulsen, 2020. "Stochastic colonization of hosts with a finite lifespan can drive individual host microbes out of equilibrium," PLOS Computational Biology, Public Library of Science, vol. 16(11), pages 1-20, November.
    2. Antonio Crescenzo & Virginia Giorno & Balasubramanian Krishna Kumar & Amelia G. Nobile, 2012. "A Double-ended Queue with Catastrophes and Repairs, and a Jump-diffusion Approximation," Methodology and Computing in Applied Probability, Springer, vol. 14(4), pages 937-954, December.
    3. Vijay Rajan Lumb & Indra Rani, 2022. "Analytically simple solution to discrete-time queue with catastrophes, balking and state-dependent service," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 13(2), pages 783-817, April.
    4. Thierry E. Huillet, 2024. "On the Balance between Emigration and Immigration as Random Walks on Non-Negative Integers," Mathematics, MDPI, vol. 12(20), pages 1-21, October.

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