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Stochastic compartmental mooeld with branching particles and disasters: sojourn time and related characteristics |
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| Authors: | A. Vijayakumar B. Krishna Kumar B. Thilaka |
| Affiliation: | Department of Mathematics , Anna University , Madras, India , 600025 |
| Abstract: | A semi-Markov cornpartmental model with branching particies is considered. The notion of disaster is incorporated into the structure. The means of (i) the total sojourn time, (ii) the number of deaths, (iii)the number of births and (iv)the number of emigrant particles in the system are analysed. Some interesting relations connecting these means are established. A few special cases are discussed in detail. |
| Keywords: | Consistently varying tailed distributions Difference of two sums of heavy-tailed random variables Heavy-tailed Precise large deviations |