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The perturbed non-homogeneous Markov system in continuous time

✍ Scribed by Vassiliou, P.-C. G. ;Symeonaki, M. A.

Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
120 KB
Volume
13
Category
Article
ISSN
8755-0024

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✦ Synopsis

In the present paper, we present the concept of a perturbed non-homogeneous Markov system in continuous time. The expected population structure of the system is found and its asymptotic behaviour is provided under more realistic assumptions than in previous studies, by relaxing the assumption that the imbedded non-homogeneous Markov chain of the NHMS converges to a homogeneous Markov chain. Finally we provide the variances and convariances of the state sizes and we find their asymptotic behaviour as tPR in closed analytic form.

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