Sign reversals of the output autocorrelation function for the stochastic Bernoulli-Verhulst equation

Journal Article · Wed Oct 28 00:00:00 EDT 2015 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.4934299· OSTI ID:22492609

Lumi, N., E-mail: [e-mail]; Mankin, R., E-mail: [e-mail] ^[1]

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1. Institute of Mathematics and Natural Sciences, Tallinn University, 29 Narva Road, 10120 Tallinn (Estonia)

We consider a stochastic Bernoulli-Verhulst equation as a model for population growth processes. The effect of fluctuating environment on the carrying capacity of a population is modeled as colored dichotomous noise. Relying on the composite master equation an explicit expression for the stationary autocorrelation function (ACF) of population sizes is found. On the basis of this expression a nonmonotonic decay of the ACF by increasing lag-time is shown. Moreover, in a certain regime of the noise parameters the ACF demonstrates anticorrelation as well as related sign reversals at some values of the lag-time. The conditions for the appearance of this highly unexpected effect are also discussed.

• OSTI ID: 22492609
• Journal Information: AIP Conference Proceedings, Vol. 1684, Issue 1; Conference: AMiTaNS'15: 7. international conference for promoting the application of mathematics in technical and natural sciences, Albena (Bulgaria), 28 Jun - 3 Jul 2015; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
42 ENGINEERING
AUGMENTATION
BERNOULLI LAW
EQUATIONS
FLUCTUATIONS
NOISE
POPULATION DYNAMICS
STOCHASTIC PROCESSES