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Batch-birth linear-death process

A batch-birth linear-death process has transitions

n ⟶ n + k at rate λ, n ⟶ n - 1 at rate β n .

Writing

P_{n} (t) = P (N_{t} = n)

and taking

P_{j} = 0

for

j < 0

, its master equation is

\dot{P}_{n} = λ P_{n - k} + β (n + 1) P_{n + 1} - (λ + β n) P_{n} .

Table of contents 60 1
- Moments of a batch-birth linear-death process Batch-birth linear-death process 27

 Ancestors (7)

 Incoming links (1)

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