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A large number of theoretical studies predict that the dynamics of spatially structured populations (metapopulations) can be altered by constant perturbations to local population size. However, these studies presume large metapopulations…

Populations and Evolution · Quantitative Biology 2007-05-23 Sutirth Dey , Amitabh Joshi

We study a one-dimensional spatial population model where the population sizes at each site are chosen according to a translation invariant and ergodic distribution and are uniformly bounded away from 0 and infinity. We suppose that the…

Probability · Mathematics 2019-06-14 Raphaël Forien

Evolutionary systems must learn to generalize, often extrapolating from a limited set of selective conditions to anticipate future environmental changes. The mechanisms enabling such generalization remain poorly understood, despite their…

Populations and Evolution · Quantitative Biology 2025-10-29 Federica Ferretti , Mehran Kardar , Arvind Murugan

Nonlinear dynamical systems possessing reflection symmetry have an invariant subspace in the phase space. The dynamics within the invariant subspace can be random or chaotic. As a system parameter changes, the motion transverse to the…

Chaotic Dynamics · Physics 2007-05-23 Changsong Zhou , C. -H. Lai

We explore the chaotic dynamics and complexity of a neuro-system with respect to variable synaptic weights in both noise free and noisy conditions. The chaotic dynamics of the system is investigated by bifurcation analysis and 0-1 test. A…

Chaotic Dynamics · Physics 2021-03-17 Sanjay K. Palit , Sayan Mukherjee

Understanding the causes and effects of spatial aggregation is one of the most fundamental problems in ecology. Aggregation is an emergent phenomenon arising from the interactions between the individuals of the population, able to sense…

Populations and Evolution · Quantitative Biology 2015-06-05 Juan A. Bonachela , Miguel A. Munoz , Simon A. Levin

We investigate the effect of noise strength on the macroscopic ordering dynamics of systems with symmetric absorbing states. Using an explicit stochastic microscopic model, we present evidence for a phase transition in the coarsening…

Statistical Mechanics · Physics 2013-05-20 D. I. Russell , R. A. Blythe

We propose a mathematical model for collective sensing in a population growing in a stochastically varying environment. In the population, individuals use an information channel for sensing the environment, and two channels for signal…

Populations and Evolution · Quantitative Biology 2018-02-13 Mohammad Salahshour , Shahin Rouhani

Stochasticity can play an important role in the dynamics of biologically relevant populations. These span a broad range of scales: from intra-cellular populations of molecules to population of cells and then to groups of plants, animals and…

Statistical Mechanics · Physics 2017-07-04 Michael Assaf , Baruch Meerson

The phase diagrams and transitions of nonequilibrium systems with multiplicative noise are studied theoretically. We show the existence of both strong and weak-coupling critical behavior, of two distinct active phases, and of a nonzero…

adap-org · Physics 2016-08-16 G. Grinstein , M. A. Muñoz , Yuhai Tu

Transient properties of different physical systems with metastable states perturbed by external white noise have been investigated. Two noise-induced phenomena, namely the noise enhanced stability and the resonant activation, are…

Statistical Mechanics · Physics 2008-10-07 B. Spagnolo , A. A. Dubkov , A. L. Pankratov , E. V. Pankratova , A. Fiasconaro , A. Ochab-Marcinek

Synergistic and antagonistic interactions in multi-species populations - such as resource sharing and competition - result in remarkably diverse behaviors in populations of interacting cells, such as in soil or human microbiomes, or clonal…

Populations and Evolution · Quantitative Biology 2019-10-15 MattheW Badali , Anton Zilman

We report a statistical analysis about people agglomeration soundscape. Specifically, we investigate the normalized sound amplitudes and intensities that emerge from people collective meetings. Our findings support the existence of…

Physics and Society · Physics 2011-02-18 H. V. Ribeiro , R. T. de Souza , E. K. Lenzi , R. S. Mendes , L. R. Evangelista

The dynamics of a spatially extended system of two competing species in the presence of two noise sources is studied. A correlated dichotomous noise acts on the interaction parameter and a multiplicative white noise affects directly the…

Statistical Mechanics · Physics 2009-11-11 D. Valenti , L. Schimansky-Geier , X. Sailer , B. Spagnolo

Populations of competing biological species exhibit a fascinating interplay between the nonlinear dynamics of evolutionary selection forces and random fluctuations arising from the stochastic nature of the interactions. The processes…

Populations and Evolution · Quantitative Biology 2012-05-08 A. Dobrinevski , E. Frey

Biological systems often consist of a small number of constituents and are therefore inherently noisy. To function effectively, these systems must employ mechanisms to constrain the accumulation of noise. Such mechanisms have been…

Statistical Mechanics · Physics 2024-09-04 Felix J. Meigel , Steffen Rulands

This work is devoted to studying the dynamics of a structured population that is subject to the combined effects of environmental stochasticity, competition for resources, spatio-temporal heterogeneity and dispersal. The population is…

Probability · Mathematics 2018-01-24 Alexandru Hening , Dang H. Nguyen , George Yin

We propose a method for variable selection in the intensity function of spatial point processes that combines sparsity-promoting estimation with noise-robust model selection. As high-resolution spatial data becomes increasingly available…

Methodology · Statistics 2025-10-30 Dominik Sturm , Ivo F. Sbalzarini

The ability to characterize the state of dynamic systems has been a pertinent task in the time series analysis community. Traditional measures such as Lyapunov exponents are often times difficult to recover from noisy data, especially if…

Signal Processing · Electrical Eng. & Systems 2020-12-21 Joshua Tempelman , Audun Myers , Jeffrey Scruggs , Firas Khasawneh

A system with two correlated Gaussian white noises is analysed. This system can describe both stochastic localization and long tails in the stationary distribution. Correlations between the noises can lead to a nonmonotonic behaviour of the…

Statistical Mechanics · Physics 2015-06-25 P. F. Gora
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