On semi-markov compartmental models with branching particles under the influence of disasters |
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| Authors: | A Vijay Kumar B Krishna Kumar B Thilaka |
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| Institution: | Department of Mathematics , Anna University , Madras, 600 025, India |
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| Abstract: | A semi-Markov multi-compart mental system in which particles reproduce similar particles as a Markov branching process and being subjected to disasters is studied. Expressions for the mean number of particles alive at time t in each compartment are obtained. The results concerning irreversible, mammillarian and catenary compartmental systems have been discussed. |
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| Keywords: | Markov branching process semi-Markov process birth-death process catastrophes |
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