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Noise-Induced Transitions in a Population Growth Model Based on Size-Dependent Carrying Capacity
Joint Authors
Ainsaar, Ain
Mankin, Romi
Lumi, Neeme
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-04
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
The stochastic dynamics of a population growth model with size-dependent carrying capacity is considered.
The effect of a fluctuating environment on population growth is modeled as a multiplicative dichotomous noise.
At intermediate values of population size the deterministic counterpart of the model behaves similarly to the Von Foerster model for human population, but at small and very large values of population size substantial differences occur.
In the stochastic case, an exact analytical solution for the stationary probability distribution is found.
It is established that variation of noise correlation time can cause noise-induced transitions between three different states of the system characterized by qualitatively different behaviors of the probability distributions of the population size.
Also, it is shown that, in some regions of the system parameters, variation of the amplitude of environmental fluctuations can induce single unidirectional abrupt transitions of the mean population size.
American Psychological Association (APA)
Lumi, Neeme& Ainsaar, Ain& Mankin, Romi. 2014. Noise-Induced Transitions in a Population Growth Model Based on Size-Dependent Carrying Capacity. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-447263
Modern Language Association (MLA)
Lumi, Neeme…[et al.]. Noise-Induced Transitions in a Population Growth Model Based on Size-Dependent Carrying Capacity. Mathematical Problems in Engineering No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-447263
American Medical Association (AMA)
Lumi, Neeme& Ainsaar, Ain& Mankin, Romi. Noise-Induced Transitions in a Population Growth Model Based on Size-Dependent Carrying Capacity. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-447263
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-447263