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The paper explores the influence of harvesting (or culling) on the outcome of the competition of two species in a spatially heterogeneous environment. The harvesting effort is assumed to be proportional to the space-dependent intrinsic…

Dynamical Systems · Mathematics 2019-05-01 Elena Braverman , Ilia Ilmer

In this study, we present a population dispersal model for Glis glis, a rodent species with a strong preference for forest habitats. The model addresses dispersal processes by incorporating the ecological traits, including habitat…

Populations and Evolution · Quantitative Biology 2025-04-07 Jeehye Choi , KyoungEun Lee , Do-Hun Lee , Byungjoon Min , Tae-Soo Chon

We study the generalised rock-paper-scissors game with five species whose organisms face local epidemic outbreaks. As an evolutionary behavioural survival strategy, organisms of one out of the species move in the direction with more enemies…

Populations and Evolution · Quantitative Biology 2022-12-29 J. Menezes , B. Moura , E. Rangel

We run stochastic simulations of the spatial version of the rock-paper-scissors game, considering that individuals use sensory abilities to scan the environment to detect the presence of enemies. If the local dangerousness level is above a…

Populations and Evolution · Quantitative Biology 2023-05-04 J. Menezes , E. Rangel

We investigate the competition between barrier slowing down and proliferation induced superdiffusion in a model of population dynamics in a random force field. Numerical results in $d=1$ suggest that a new intermediate diffusion behaviour…

Condensed Matter · Physics 2007-05-23 Irene Giardina , Jean-Philippe Bouchaud , Marc Mezard

We study the spreading of families in two-dimensional multispecies predator-prey systems, in which species cyclically dominate each other. In each time step randomly chosen individuals invade one of the nearest sites of the square lattice…

Populations and Evolution · Quantitative Biology 2009-11-10 Maria Ravasz , Gyorgy Szabo , Attila Szolnoki

Random multiplicative growth with redistribution generates stationary Pareto wealth tails in the Bouchaud-M\'ezard model, but assumes a fixed multiplicative noise intensity. This is restrictive for physical and financial growth processes,…

Disordered Systems and Neural Networks · Physics 2026-05-20 Maxence Arutkin , Alexandre Vallée

Investigation of species abundance has become a vital component of many ecological monitoring studies. The primary objective of these studies is to understand how specific species are distributed across the study domain, as well as…

Applications · Statistics 2015-05-12 Guohui Wu , Scott H. Holan , Charles H. Nilon , Christopher K. Wikle

Environmental changes greatly influence the evolution of populations. Here, we study the dynamics of a population of two strains, one growing slightly faster than the other, competing for resources in a time-varying binary environment…

Populations and Evolution · Quantitative Biology 2020-07-28 Ami Taitelbaum , Robert West , Michael Assaf , Mauro Mobilia

We examine the dynamic spreading of a dense overdamped suspension of particles under power law repulsive potentials, often called Riesz gases. That is, potentials that decay with distance as 1/r^k where k\in (-2,\infty]. Depending on the…

Soft Condensed Matter · Physics 2025-01-13 Ido Fanto , Naomi Oppenheimer

When biological populations expand into new territory, the evolutionary outcomes can be strongly influenced by genetic drift, the random fluctuations in allele frequencies. Meanwhile, spatial variability in the environment can also…

Populations and Evolution · Quantitative Biology 2024-06-27 Jimmy Gonzalez Nuñez , Jayson Paulose , Wolfram Möbius , Daniel A. Beller

Antipredator behaviour is a self-preservation strategy present in many biological systems, where individuals join the effort in a collective reaction to avoid being caught by an approaching predator. We study a nonhierarchical tritrophic…

Populations and Evolution · Quantitative Biology 2022-12-29 J. Menezes , S. Batista , M. Tenorio , E. A. Triaca , B. Moura

We analyze 3D flight paths of bumblebees searching for nectar in a laboratory experiment with and without predation risk from artificial spiders. For the flight velocities we find mixed probability distributions reflecting the access to the…

Biological Physics · Physics 2013-01-18 Friedrich Lenz , Thomas C. Ings , Lars Chittka , Aleksei V. Chechkin , Rainer Klages

The spread of invasive species can have far reaching environmental and ecological consequences. Understanding invasion spread patterns and the underlying process driving invasions are key to predicting and managing invasions. We combine a…

Methodology · Statistics 2018-10-12 Joshua Goldstein , Jaewoo Park , Murali Haran , Andrew Liebhold , Ottar N. Bjornstad

Background: The accumulation of deleterious mutations of a population directly contributes to the fate as to how long the population would exist. Muller's ratchet provides a quantitative framework to study the effect of accumulation.…

Populations and Evolution · Quantitative Biology 2011-09-22 Shuyun Jiao , Yanbo Wang , Bo Yuan , Ping Ao

The evolution of parasite virulence and host defences is affected by population structure. This effect has been confirmed in studies focusing on large spatial scales, whereas the importance of local structure is not well understood.…

Populations and Evolution · Quantitative Biology 2014-09-17 Tobias Pamminger , Susanne Foitzik , Dirk Metzler , Pleuni S. Pennings

The statistical distribution of levels of an integrable system is claimed to be a Poisson distribution. In this paper, we numerically generate an ensemble of N dimensional random diagonal matrices as a model for regular systems. We evaluate…

Exactly Solvable and Integrable Systems · Physics 2011-09-27 A. A. Abul-Magd , A. Y. Abul-Magd

The growth of a population divided among spatial sites, with migration between the sites, is sometimes modelled by a product of random matrices, with each diagonal elements representing the growth rate in a given time period, and…

Populations and Evolution · Quantitative Biology 2018-09-12 David Steinsaltz , Shripad Tuljapurkar

We study by extensive numerical simulations the dynamics of a hard-core tracer particle (TP) in presence of two competing types of disorder - frozen convection flows on a square random Manhattan lattice and a crowded dynamical environment…

Disordered Systems and Neural Networks · Physics 2020-06-24 Carlos Mejía-Monasterio , Sergei Nechaev , Gleb Oshanin , Oleg Vasilyev

In ecology, species can mitigate their extinction risks in uncertain environments by diversifying individual phenotypes. This observation is quantified by the theory of bet-hedging, which provides a reason for the degree of phenotypic…

Populations and Evolution · Quantitative Biology 2019-06-19 Paula Villa Martín , Miguel A. Muñoz , Simone Pigolotti
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