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This paper is concerned with spatial spreading dynamics of a nonlocal dispersal population model in a shifting environment where the favorable region is shrinking. It is shown that the species will become extinct in the habitat once the…

偏微分方程分析 · 数学 2018-03-14 Wan-Tong Li , Jia-Bing Wang , Xiao-Qiang Zhao

We present a spatial, individual-based predator-prey model in which dispersal is dependent on the local community. We determine species suitability to the biotic conditions of their local environment through a time and space varying fitness…

种群与进化 · 定量生物学 2008-07-21 Elise Filotas , Martin Grant , Lael Parrott , Per Arne Rikvold

We consider a model for a population in a heterogeneous environment, with logistic type local population dynamics, under the assumption that individuals can switch between two different nonzero rates of diffusion. Such switching behavior…

偏微分方程分析 · 数学 2020-01-14 Robert Stephen Cantrell , Chris Cosner , Xiao Yu

We study a two-species competition model in a patchy advective environment, where the species are subject to both directional drift and undirectional random dispersal between patches and there are losses of individuals in the downstream end…

动力系统 · 数学 2023-03-22 Shanshan Chen , Junping Shi , Zhisheng Shuai , Yixiang Wu

A mass ejection model in a time-dependent random environment with both temporal and spatial correlations is introduced. When the environment has a finite correlation length, individual particle trajectories are found to diffuse at large…

混沌动力学 · 物理学 2012-03-28 Giorgio Krstulovic , Rehab Bitane , Jeremie Bec

We numerically investigate the impact of scale evolution on double parton distributions, which are needed to compute multiple hard scattering processes. Assuming correlations between longitudinal and transverse variables or between the…

高能物理 - 唯象学 · 物理学 2015-06-18 Markus Diehl , Tomas Kasemets , Shane Keane

Scale independence is a ubiquitous feature of complex systems which implies a highly skewed distribution of resources with no characteristic scale. Research has long focused on why systems as varied as protein networks, evolution and stock…

物理与社会 · 物理学 2016-02-08 Laurent Hébert-Dufresne , Antoine Allard , Jean-Gabriel Young , Louis J. Dubé

This article is concerned with a stochastic multi-patch model in which each local population is subject to a strong Allee effect. The model is obtained by using the framework of interacting particle systems to extend a stochastic two-patch…

概率论 · 数学 2013-01-03 Nicolas Lanchier

Many species are unsustainable at small population densities (Allee Effect), i.e., below a threshold named Allee threshold, the population decreases instead of growing. In a closed local population, environmental fluctuations always lead to…

种群与进化 · 定量生物学 2022-01-27 Rodrigo Crespo , Javier Jarillo , Francisco J. Cao-García

Dispersal is a key ecological process, that enables local populations to form spatially extended systems called metapopulations. In the present study, we investigate how dispersal affects the linear stability of a general single-species…

种群与进化 · 定量生物学 2016-01-11 Eric Tromeur , Lars Rudolf , Thilo Gross

The role of dispersal on the stability and synchrony of a metacommunity is a topic of considerable interest in theoretical ecology. Dispersal is known to promote both synchrony, which enhances the likelihood of extinction, and spatial…

种群与进化 · 定量生物学 2022-04-06 Snehasish Roy Chowdhury , Ramesh Arumugam , Wei Zou , V. K. Chandrasekar , D. V. Senthilkumar

Here we describe how some important scaling laws observed in the distribution of languages on Earth can emerge from a simple computer simulation. The proposed language dynamics includes processes of selective geographic colonization,…

物理与社会 · 物理学 2009-11-11 Viviane M. de Oliveira , M. A. F. Gomes , I. R. Tsang

We investigate a six-species class of May-Leonard models leading to formation two types of competing spatial domains, each one inhabited by three-species with their own internal cyclic rock-paper-scissors dynamics. We study the resulting…

适应与自组织系统 · 物理学 2019-08-07 P. P. Avelino , J. Menezes , B. F. de Oliveira , T. A. Pereira

Cyclic, nonhierarchical interactions among biological species represent a general mechanism by which ecosystems are able to maintain high levels of biodiversity. However, species coexistence is often possible only in spatially extended…

种群与进化 · 定量生物学 2015-03-17 Daniel Groselj , Frank Jenko , Erwin Frey

Dispersal of species is a fundamental ecological process in the evolution and maintenance of biodiversity. Limited control over ecological parameters has hindered progress in understanding of what enables species to colonise new area, as…

种群与进化 · 定量生物学 2014-05-21 Markus F. Weber , Gabriele Poxleitner , Elke Hebisch , Erwin Frey , Madeleine Opitz

The dynamics of dispersal-structured populations, consisting of competing individuals that are characterized by different diffusion coefficients but are otherwise identical, is investigated. Competition is taken into account through…

生物物理 · 物理学 2020-04-15 E. Heinsalu , D. Navidad Maeso , M. Patriarca

We propose a model to characterize how a diffusing population adapts under a time periodic selection, while its environment undergoes shifts and size changes, leading to significant differences with classical results on fixed domains. After…

偏微分方程分析 · 数学 2025-06-05 Matthieu Alfaro , Adel Blouza , Nessim Dhaouadi

We introduce an evolutionary metacommunity of multitrophic food webs on several habitats coupled by migration. In contrast to previous studies that focus either on evolutionary or on spatial aspects, we include both and investigate the…

种群与进化 · 定量生物学 2018-04-20 Korinna T. Allhoff , Eva Marie Weiel , Tobias Rogge , Barbara Drossel

In a geographically distributed population, assortative clustering plays an important role in evolution by modifying local environments. To examine its effects in a linear habitat, we consider a one-dimensional grid of cells, where each…

种群与进化 · 定量生物学 2021-03-16 Sunhee Chae , Nahyeon Lee , Seung Ki Baek , Hyeong-Chai Jeong

We investigate the impact of Allee effect and dispersal on the long-term evolution of a population in a patchy environment, focusing on whether a population already established in one patch either successfully invades an adjacent empty…

经典分析与常微分方程 · 数学 2010-03-02 Yun Kang , Nicolas Lanchier