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Note an a death process

Published online by Cambridge University Press:  14 July 2016

S. A. De Vries ,
A. J. Stam  and
J. Reddingius
S. A. De Vries*
Affiliation:
Rijksuniversiteit Groningen
A. J. Stam*
Affiliation:
Rijksuniversiteit Groningen
J. Reddingius*
Affiliation:
Rijksuniversiteit Groningen
*
∗ Postal address: Mathematisch Instituut, Rijksuniversiteit Groningen, Postbus 800, Groningen, The Netherlands.
∗ Postal address: Mathematisch Instituut, Rijksuniversiteit Groningen, Postbus 800, Groningen, The Netherlands.
∗ Postal address: Mathematisch Instituut, Rijksuniversiteit Groningen, Postbus 800, Groningen, The Netherlands.
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Abstract

The forward equations for the death process in ℕ2 with Q-matrix determined by q(i, j; i − 1, j) = αij, i ≧ 1, q(i, j; i, j − 1) = μj, j ≧ 1 are solved by giving a special interpretation to this Q-matrix.

Keywords

DEATH PROCESSFORWARD EQUATIONSPREDATOR-PREY MODEL

Information

Type
Short Communications
Information
Journal of Applied Probability , Volume 17 , Issue 3 , September 1980 , pp. 853 - 855
Copyright
Copyright © Applied Probability Trust 1980 

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References

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