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A new critical effect is predicted in population dispersal. It is based on the fact that a trade-off between the advantages of mobility and the cost of mobility breaks with a significant deterioration in living conditions. The recently…

种群与进化 · 定量生物学 2019-03-01 Alexander N. Gorban , Nurdan Çabukoǧlu

The notions of taxis and kinesis are introduced and used to describe two types of behavior of an organism in non-uniform conditions: (i) Taxis means the guided movement to more favorable conditions; (ii) Kinesis is the non-directional…

种群与进化 · 定量生物学 2018-12-06 A. N. Gorban , N. Çabukoǧlu

The strong Allee effect plays an important role on the evolution of population in ecological systems. One important concept is the Allee threshold that determines the persistence or extinction of the population in a long time. In general, a…

偏微分方程分析 · 数学 2024-08-05 Fanze Kong , Juncheng Wei

We present existence, uniqueness and continuous dependence results for some kinetic equations motivated by models for the collective behavior of large groups of individuals. Models of this kind have been recently proposed to study the…

偏微分方程分析 · 数学 2011-12-07 José A. Cañizo , José A. Carrillo , Jesús Rosado

We study the combined effects of periodically varying carrying capacity and survival rates on the fish population in the ocean (sea). We introduce the Getz type delay differential equation model with a control parameter which describes how…

动力系统 · 数学 2007-05-23 L. Berezansky , L. Idels

Depending on their mechanism of self-propulsion, active particles can exhibit a time-dependent, often periodic, propulsion velocity. The precise propulsion velocity profile determines their mean square displacement and their effective…

软凝聚态物质 · 物理学 2024-05-06 Arnau Jurado Romero , Carles Calero , Rossend Rey

Models of population growth and extinction are an increasingly popular subject of study. However, consequences of stochasticity and noise in shaping distributions and outcomes are not sufficiently explored. Here we consider a distributed…

统计力学 · 物理学 2020-11-11 Bertrand Ottino-Löffler , Mehran Kardar

We investigate a model, inspired by (Johnston et al., Sci. Rep., 7:42134, 2017), to describe the movement of a biological population which consists of isolated and grouped organisms. We introduce biases in the movements and then obtain a…

偏微分方程分析 · 数学 2023-04-06 Diego Berti , Andrea Corli , Luisa Malaguti

Spatially resolved genetic data is increasingly used to reconstruct the migrational history of species. To assist such inference, we study, by means of simulations and analytical methods, the dynamics of neutral gene frequencies in a…

种群与进化 · 定量生物学 2008-01-15 Oskar Hallatschek , David R. Nelson

A demographic Allee effect occurs when individual fitness, at low densities, increases with population density. Coupled with environmental fluctuations in demographic rates, Allee effects can have subtle effects on population persistence…

概率论 · 数学 2014-05-08 Gregory Roth , Sebastian Schreiber

How diffusion impacts on ecological dynamics under the Allee effect and spatial constraints? That is the question we address. Employing a microscopic minimal model in a metapopulation (without imposing nonlinear birth and death rates) we…

种群与进化 · 定量生物学 2019-11-27 Marcelo A. Pires , Sílvio M. Duarte Queirós

In population biology, the Allee dynamics refer to negative growth rates below a critical population density. In this Letter, we study a reaction-diffusion (RD) model of population growth and dispersion in one dimension, which incorporates…

细胞行为 · 定量生物学 2017-08-02 Indrani Bose , Mainak Pal , Chiranjit Karmakar

The dynamics of a reaction-diffusion-advection benthic-drift population model that links changes in the flow regime and habitat availability with population dynamics is studied. In the model, the stream is divided into drift zone and…

偏微分方程分析 · 数学 2019-09-10 Yan Wang , Junping Shi

The process of evolutionary emergence of purposeful adaptive behavior is investigated by means of computer simulations. The model proposed implies that there is an evolving population of simple agents, which have two natural needs: energy…

神经与进化计算 · 计算机科学 2007-05-23 Mikhail S. Burtsev , Vladimir G. Redko , Roman V. Gusarev

We study a linear inviscid model of a passively flexible swimmer with distributed flexibility, calculating its propulsive performance and optimal distributions of flexibility. The frequencies of actuation and mean stiffness ratios we…

流体动力学 · 物理学 2020-02-26 Daniel Floryan , Clarence W. Rowley

Motile and driven particles confined in microfluidic channels exhibit interesting emergent behavior from propagating density bands to density shock waves. A deeper understanding of the physical mechanisms responsible for these emergent…

流体动力学 · 物理学 2016-02-03 Alan Cheng Hou Tsang , Eva Kanso

Stochastic models of diffusion with excluded-volume effects are used to model many biological and physical systems at a discrete level. The average properties of the population may be described by a continuum model based on partial…

化学物理 · 物理学 2012-12-20 Maria Bruna , S. Jonathan Chapman

In populations competing for resources, it is natural to ask whether consuming fewer resources provides any selective advantage. To answer this question, we propose a Wright- Fisher model with two types of individuals: the inefficient…

Saving energy and enhancing performance are secular preoccupations shared by both nature and human beings. In animal locomotion, flapping flyers or swimmers rely on the flexibility of their wings or body to passively increase their…

生物物理 · 物理学 2011-08-30 Sophie Ramananarivo , Ramiro Godoy-Diana , Benjamin Thiria

Dispersive effects during long wave run-up on a plane beach are studied. We take an advantage of experimental data collection of different wave types (single pulses, sinusoidal waves, bi-harmonic waves, and frequency modulated wave trains)…

大气与海洋物理 · 物理学 2020-02-20 Ahmed Abdalazeez , Ira Didenkulova , Denys Dutykh
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