Density-dependent birth and death process with state-dependent immigration

DOI10.1016/0895-7177(91)90012-VzbMath0721.92019OpenAlexW1986520480MaRDI QIDQ2641247

B. Krishna Kumar, P. R. Parthasarathy

Publication date: 1991

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0895-7177(91)90012-v

zbMATH Keywords

modified Bessel functionsextinction probabilitymeanAsymptotic behaviorstate-dependent immigrationdensity-dependent birth and death process with immigrationexplicit expression for the population size

Mathematics Subject Classification ID

Applications of branching processes (60J85) Population dynamics (general) (92D25) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (10)

Ergodicity and perturbation bounds for inhomogeneous birth and death processes with additional transitions from and to the origin ⋮ Markovian bulk-arriving queues with state-dependent control at idle time ⋮ Study of Birth-Death Processes with Immigration ⋮ Ergodicity and truncation bounds for inhomogeneous birth and death processes with additional transitions from and to origin ⋮ Decay property of stopped Markovian bulk-arriving queues ⋮ On a class of Markovian queuing systems described by inhomogeneous birth-and-death processes with additional transitions ⋮ Birth and Death (BDP) Process Models with Applications ⋮ Markovian bulk-arrival and bulk-service queues with state-dependent control ⋮ \(M^X/M/c\) queue with catastrophes and state-dependent control at idle time ⋮ The M/M/c queue with mass exodus and mass arrivals when empty

Cites Work

• An introduction to infinite dimensional dynamical systems -- geometric theory. With an appendix by Krzysztof P. Rybakowski
• A piecewise-linear growth model: Comparison with competing forms in batch culture
• Population-size-dependent branching process with linear rate of growth
• On the distribution of the time to extinction in the stochastic logistic population model
• A Limit Theorem for Generalized Random Branching Processes Depending on the Size of the Population
• A branching process with a state dependent immigration component
• What is the Laplace Transform?
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