Integrability of stochastic birth-death processes via differential galois theory
| datacite.rights | http://purl.org/coar/access_right/c_abf2 | spa |
| dc.contributor.author | Acosta-Humánez, Primitivo B. | |
| dc.contributor.author | Capitán, José A. | |
| dc.contributor.author | Morales-Ruiz, Juan J. | |
| dc.date.accessioned | 2020-12-04T17:56:50Z | |
| dc.date.available | 2020-12-04T17:56:50Z | |
| dc.date.issued | 2020 | |
| dc.description.abstract | Stochastic birth-death processes are described as continuous-time Markov processes in models of population dynamics. A system of in nite, coupled ordinary diferential equations (the so- called master equation) describes the time-dependence of the probability of each system state. Using a generating function, the master equation can be transformed into a partial diferential equation. In this contribution we analyze the integrability of two types of stochastic birth-death processes (with polynomial birth and death rates) using standard diferential Galois theory.We discuss the integrability of the PDE via a Laplace transform acting over the temporal variable. We show that the PDE is not integrable except for the case in which rates are linear functions of the number of individuals. | eng |
| dc.format.mimetype | eng | |
| dc.identifier.doi | https://doi.org/10.1051/mmnp/2020005 | |
| dc.identifier.issn | 17606101 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12442/6845 | |
| dc.language.iso | eng | eng |
| dc.publisher | EDP Sciences | eng |
| dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | eng |
| dc.rights.accessrights | info:eu-repo/semantics/openAccess | eng |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | |
| dc.source | Mathematical Modelling of Natural Phenomena. Math. Model. Nat. Phenom. | eng |
| dc.source | Vol. 15, No. 70, (2020) | |
| dc.subject | Diferential Galois theory | eng |
| dc.subject | Stochastic processes | eng |
| dc.subject | Population dynamics | eng |
| dc.subject | Laplace transform | eng |
| dc.title | Integrability of stochastic birth-death processes via differential galois theory | eng |
| dc.type.driver | info:eu-repo/semantics/article | eng |
| dc.type.spa | Artículo científico | spa |
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| oaire.version | info:eu-repo/semantics/publishedVersion | spa |