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Descripción
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| In this contribution we will analyze the integrability of several kinds of stochastic birth-death processes using standard differential Galois theory. We start from the master equation of the process for polynomial birth and death rates and, using a generating function, we obtain a PDE whose order is the maximum degree of both rates. We analyze the integrability of the first and second order PDEs via a Laplace transform. Our results suggest that the system is not integrable except for the (trivial) case in which rates are linear functions of the number of individuals. | |
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Internacional
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Si |
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Nombre congreso
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International conference on algebraic methods in dynamical systems (AMDS 2018) [http://eventos.upm.es/19311/detail/international-conference-on-algebraic-methods-in-dynamical-systems-amds-2018.html] |
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Tipo de participación
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960 |
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Lugar del congreso
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Madrid (Spain) |
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Revisores
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Si |
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ISBN o ISSN
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CDP08UPM |
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DOI
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Fecha inicio congreso
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18/06/2018 |
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Fecha fin congreso
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22/06/2018 |
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Desde la página
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4 |
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Hasta la página
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4 |
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Título de las actas
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AMDS 2018 - Algebraic Methods in Dynamical Systems. ABSTRACTS [http://eventos.upm.es/_files/_event/_19311/_editorFiles/file/abstracts-amds-2018.pdf] |