Predator population depending on lemming cycles

Author:

Anashkina Ekaterina I.12,Chichigina Olga A.3,Valenti Davide24,Kargovsky Aleksey V.3,Spagnolo Bernardo245

Affiliation:

1. Faculty of Physics, Lomonosov Moscow State University, Leninskie Gory, 119992 Moscow, Russia

2. Group of Interdisciplinary Theoretical Physics, Università di Palermo and CNISM, Unità di Palermo, Viale delle Scienze, Edificio 18, 90128 Palermo, Italy

3. Faculty of Physics and International Laser Center, Lomonosov Moscow State University, Leninskie Gory, 119992 Moscow, Russia

4. Istituto Nazionale di Fisica Nucleare, Sezione di Catania, Via S. Sofia 64, I-95123 Catania, Italy

5. Radiophysics Department, Lobachevsky State University, 23 Gagarin Avenue, 603950 Nizhniy Novgorod, Russia

Abstract

In this paper, a Langevin equation for predator population with multiplicative correlated noise is analyzed. The noise source, which is a nonnegative random pulse noise with regulated periodicity, corresponds to the prey population cycling. The increase of periodicity of noise affects the average predator density at the stationary state.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

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