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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. Título del congreso: International conference on algebraic methods in dynamical systems (AMDS 2018) [https://eventos.upm.es/19311/section/11788/international-conference-on-algebraic-methods-in-dynamical-systems-amds-2018.html] Actas del congreso: AMDS 2018 - Algebraic Methods in Dynamical Systems. ABSTRACTS [https://eventos.upm.es/_files/_event/_19311/_editorFiles/file/abstracts-amds-2018.pdf ] | |
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Internacional
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Si |
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ISSN o ISBN
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CDP08UPM |
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Entidad relacionada
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Universidad Politécnica de Madrid |
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Nacionalidad Entidad
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ESPAÑA |
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Lugar del congreso
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Madrid |