Artículo

Solari, H.G.; Natiello, M.A. "Stochastic population dynamics: the Poisson approximation" (2003) Physical review. E, Statistical, nonlinear, and soft matter physics. 67(3):031918
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Abstract:

We introduce an approximation to stochastic population dynamics based on almost independent Poisson processes whose parameters obey a set of coupled ordinary differential equations. The approximation applies to systems that evolve in terms of events such as death, birth, contagion, emission, absorption, etc., and we assume that the event-rates satisfy a generalized mass-action law. The dynamics of the populations is then the result of the projection from the space of events into the space of populations that determine the state of the system (phase space). The properties of the Poisson approximation are studied in detail. Especially, error bounds for the moment generating function and the generating function receive particular attention. The deterministic approximation for the population fractions and the Langevin-type approximation for the fluctuations around the mean value are recovered within the framework of the Poisson approximation as particular limit cases. However, the proposed framework allows to treat other limit cases and general situations with small populations that lie outside the scope of the standard approaches. The Poisson approximation can be viewed as a general (numerical) integration scheme for this family of problems in population dynamics.

Registro:

Documento: Artículo
Título:Stochastic population dynamics: the Poisson approximation
Autor:Solari, H.G.; Natiello, M.A.
Filiación:Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I, 1428 Buenos Aires, Argentina
Centre for Mathematical Sciences, Lund University, Box 118, S-221 00 Lund, Sweden
Palabras clave:Monte Carlo method; Poisson distribution; population dynamics; Monte Carlo Method; Poisson Distribution; Population Dynamics
Año:2003
Volumen:67
Número:3
Página de inicio:031918
DOI: http://dx.doi.org/10.1103/PhysRevE.67.031918
Título revista:Physical review. E, Statistical, nonlinear, and soft matter physics
Título revista abreviado:Phys Rev E Stat Nonlin Soft Matter Phys
ISSN:15393755
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v67_n3_p031918_Solari

Citas:

---------- APA ----------
Solari, H.G. & Natiello, M.A. (2003) . Stochastic population dynamics: the Poisson approximation. Physical review. E, Statistical, nonlinear, and soft matter physics, 67(3), 031918.
http://dx.doi.org/10.1103/PhysRevE.67.031918
---------- CHICAGO ----------
Solari, H.G., Natiello, M.A. "Stochastic population dynamics: the Poisson approximation" . Physical review. E, Statistical, nonlinear, and soft matter physics 67, no. 3 (2003) : 031918.
http://dx.doi.org/10.1103/PhysRevE.67.031918
---------- MLA ----------
Solari, H.G., Natiello, M.A. "Stochastic population dynamics: the Poisson approximation" . Physical review. E, Statistical, nonlinear, and soft matter physics, vol. 67, no. 3, 2003, pp. 031918.
http://dx.doi.org/10.1103/PhysRevE.67.031918
---------- VANCOUVER ----------
Solari, H.G., Natiello, M.A. Stochastic population dynamics: the Poisson approximation. Phys Rev E Stat Nonlin Soft Matter Phys. 2003;67(3):031918.
http://dx.doi.org/10.1103/PhysRevE.67.031918