In this paper we present a study on pulse noise sources characterized by sub- and super-Poisson statistics. We make a comparison with their uncorrelated counterpart. i.e. pulse noise with Poisson statistics, while showing that the correlation properties of sub- and super-Poisson noise sources can be efficiently applied to population dynamics. Specifically, we consider a termite population, described by a Langevin equation in the presence of a pulse noise source, and we study its dynamics and stability properties for two models. The first one describes a population of several colonies in a new territory with adverse environmental conditions. The second one considers the development of a single colony under the influence of attacks by predators.

Chichigina O.A., Kargovsky A.V., Valenti D. (2020). Role of sub- and super-Poisson noise sources in population dynamics. JOURNAL OF STATISTICAL MECHANICS: THEORY AND EXPERIMENT, 2020(9) [10.1088/1742-5468/abb369].

Role of sub- and super-Poisson noise sources in population dynamics

Valenti D.
2020-01-01

Abstract

In this paper we present a study on pulse noise sources characterized by sub- and super-Poisson statistics. We make a comparison with their uncorrelated counterpart. i.e. pulse noise with Poisson statistics, while showing that the correlation properties of sub- and super-Poisson noise sources can be efficiently applied to population dynamics. Specifically, we consider a termite population, described by a Langevin equation in the presence of a pulse noise source, and we study its dynamics and stability properties for two models. The first one describes a population of several colonies in a new territory with adverse environmental conditions. The second one considers the development of a single colony under the influence of attacks by predators.
Chichigina O.A., Kargovsky A.V., Valenti D. (2020). Role of sub- and super-Poisson noise sources in population dynamics. JOURNAL OF STATISTICAL MECHANICS: THEORY AND EXPERIMENT, 2020(9) [10.1088/1742-5468/abb369].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/474946
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