Blowing-up of deterministic fixed points in stochastic population dynamics

Natiello, Mario A. et al · Elsevier Science Inc · 2007

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Author / responsible party

Natiello, Mario A. et al

Publisher

Elsevier Science Inc

Year

2007

ISSN

0025-5564

ISSN

0025-5564

Language

English

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We discuss the stochastic dynamics of biological (and other) populations presenting a limit behaviour for large environments (called deterministic limit) and its relation with the dynamics in the limit. The discussion is circumscribed to linearly stable fixed points of the deterministic dynamics, and it is shown that the cases of extinction and non-extinction equilibriums present different features. Mainly, non-extinction equilibria have associated a region of stochastic instability surrounded by a region of stochastic stability. The instability region does not exist in the case of extinction fixed points, and a linear Lyapunov function can be associated with them. Stochastically sustained oscillations of two subpopulations are also discussed in the case of complex eigenvalues of the stability matrix of the deterministic system. © 2007 Elsevier Inc. All rights reserved. Fil: Natiello, Mario A.. Lund University; Suecia Fil: Solari, Hernan Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina

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APA 7

Natiello, M. A. E. A. (2007). Blowing-up of deterministic fixed points in stochastic population dynamics. http://hdl.handle.net/11336/67522

MLA

Natiello, Mario A. et al. "Blowing-up of deterministic fixed points in stochastic population dynamics." 2007. http://hdl.handle.net/11336/67522.

Chicago

Natiello, Mario A. et al. 2007. "Blowing-up of deterministic fixed points in stochastic population dynamics.". http://hdl.handle.net/11336/67522.

Harvard

Natiello, M. A. E. A. 2007, Blowing-up of deterministic fixed points in stochastic population dynamics, Elsevier Science Inc, available at: http://hdl.handle.net/11336/67522 [Accessed 7 Aug. 2026].

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Title: Blowing-up of deterministic fixed points in stochastic population dynamics

Author / contributors: Natiello, Mario A. et al

Publisher: Elsevier Science Inc

Publication year: 2007

ISSN: 0025-5564

ISSN: 0025-5564

Language: English

Subjects

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Deterministic Limit; Population Dynamics; Stochastic; https://purl.org/becyt/ford/1.3; https://purl.org/becyt/ford/1