Moments of Extinction for a Singular Perturbation Problem in the Diffusion Process

DOI10.1137/0151014zbMath0719.34104OpenAlexW1982571890MaRDI QIDQ5751226

Abdul-Majid Wazwaz, Floyd B. Hanson

Publication date: 1991

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0151014

zbMATH Keywords

small parameterdiffusion processextinction timesingularly perturbed second order differential equationlogistic population process under a small demographic stochasticity

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Stopping times; optimal stopping problems; gambling theory (60G40) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Asymptotic expansions of solutions to ordinary differential equations (34E05)

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