Riccati’s differential equation in birth-death processes

descriptionPublicationkeyboard_double_arrow_right Article 01 Oct 1985 English Publisher:Springer Science and Business Media LLCJournal:Trabajos de Estadistica Y de Investigacion Operativa, volume 36, pages 145-152 (issn: 0041-0241,

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Authors: Gani, J.;

doi: 10.1007/bf02888549

Riccati’s differential equation in birth-death processes

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Abstract

Summary: This note reviews the occurrence of Riccati's equation in three birth- death type processes, and outlines their solutions.

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University of California, Santa Barbara
United States

Keywords

dependent process, parity, two-sex population model, Branching processes (Galton-Watson, birth-and-death, etc.), Explicit solutions, first integrals of ordinary differential equations, birth-death type processes, Riccati's equation

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