On the subcritical birth-and-death processes in a random environment

DOI10.1007/s00285-016-1079-0zbMath1373.60144OpenAlexW2550337355WikidataQ50547507 ScholiaQ50547507MaRDI QIDQ2014348

Nicolas Bacaër

Publication date: 11 August 2017

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00285-016-1079-0

zbMATH Keywords

eigenvalue problemFuchsian differential equationrandom environmentquasi-birth-and-death process

Mathematics Subject Classification ID

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

Cites Work

• The stochastic SIS epidemic model in a random environment
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• On linear birth-and-death processes in a random environment
• Quasi-Stationary Distributions
• Quasi-Birth-and-Death Processes and Matrix-Valued Orthogonal Polynomials
• Birth and death processes with random environments in continuous time
• Shorter Notes: Convexity of the Dominant Eigenvalue of an Essentially Nonnegative Matrix
• Introduction to Matrix Analytic Methods in Stochastic Modeling
• On the Survival Probability of a Branching Process in a Random Environment
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