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Spatial distribution of the human population is distinctly heterogeneous, e.g. showing significant difference in the population density between urban and rural areas. In the historical perspective, i.e. on the timescale of centuries, the…

适应与自组织系统 · 物理学 2022-08-30 Anna Zincenko , Sergei Petrovskii , Vitaly Volpert

The importance of the Allee effect in studying extinction vulnerability is widely recognized by researchers, and neglecting it could adversely impact the management of threatened or exploited populations [1]. In this article, we examine a…

动力系统 · 数学 2024-03-21 Rajesh Ranjan Patra , Sarit Maitra

Using a reaction-diffusion model with free boundaries in one space dimension for a single population species with density $u(t,x)$ and population range $[g(t), h(t)]$, we demonstrate that the Allee effects can be eliminated if the species…

种群与进化 · 定量生物学 2025-03-11 Yihong Du , Ling Li , Wenjie Ni , Narges Shabgard

Evolutionary hypotheses to explain the greater numbers of species in the tropics than the temperate zone include greater age and area, higher temperature and metabolic rates, and greater ecological opportunity. These ideas make contrasting…

种群与进化 · 定量生物学 2015-09-02 Dolph Schluter

The abundance of a species' population in an ecosystem is rarely stationary, often exhibiting large fluctuations over time. Using historical data on marine species, we show that the year-to-year fluctuations of population growth rate obey a…

适应与自组织系统 · 物理学 2015-06-02 Jie Sun , Sean P. Cornelius , John Janssen , Kimberly A. Gray , Adilson E. Motter

Population dynamics with spatial information is applied to understand the spread of pests. We introduce a model describing how pests spread in discrete space. The number of pest descendants at each site is controlled by local information…

种群与进化 · 定量生物学 2017-01-20 Woo Seong Jo , Hwang-Yong Kim , Beom Jun Kim

This article is concerned with a version of the contact process with sexual reproduction on a graph with two levels of interactions modeling metapopulations. The population is spatially distributed into patches and offspring are produced in…

概率论 · 数学 2013-07-26 Nicolas Lanchier

We analyze the properties of population spreading in environments with spatial anisotropy within the frames of a lattice model of asymmetric (biased) random walkers. The expressions for the universal shape characteristics of the…

无序系统与神经网络 · 物理学 2020-12-09 V. Blavatska

A model for large-scale evolution recently introduced by Amaral and Meyer is studied analytically and numerically. Species are located at different trophic levels and become extinct if their prey becomes extinct. It is proved that this…

adap-org · 物理学 2009-10-30 Barbara Drossel

The environment in which a population evolves can have a crucial impact on selection. We study evolutionary dynamics in finite populations of fixed size in a changing environment. The population dynamics are driven by birth and death…

种群与进化 · 定量生物学 2014-09-01 Peter Ashcroft , Philipp M Altrock , Tobias Galla

The margins within the geographic range of species are often specific in terms of ecological and evolutionary processes, and can strongly influence the species' reaction to climate change. One of the frequently observed features at range…

种群与进化 · 定量生物学 2020-02-28 R. Juhász , B. Oborny

In nature, most microbial populations have complex spatial structures that can affect their evolution. Evolutionary graph theory predicts that some spatial structures modelled by placing individuals on the nodes of a graph affect the…

种群与进化 · 定量生物学 2024-12-30 Alia Abbara , Lisa Pagani , Celia García-Pareja , Anne-Florence Bitbol

An Allee effect occurs when the per-capita growth rate increases at low densities. Here, we investigate the evolutionary stability of a partial migration population with migrant population experiencing Allee effects. Partial migration is a…

种群与进化 · 定量生物学 2022-03-02 Yogesh Trivedi , Ram Singh , Anushaya Mohapatra

Human activity is leading to changes in the mean and variability of climatic parameters in most locations around the world. The changing mean has received considerable attention from scientists and climate policy makers. However, recent…

种群与进化 · 定量生物学 2023-06-16 Hassan Alkhayuon , Jessa Marley , Sebastian Wieczorek , Rebecca C. Tyson

Population dynamics reflects an underlying birth-death process, where the rates associated with different events may depend on external environmental conditions and on the population density. A whole family of simple and popular…

种群与进化 · 定量生物学 2019-07-03 Yitzhak Yahalom , Bnaya Steinmetz , Nadav M. Shnerb

The component Allee effect (AE) is the positive correlation between an organism's fitness component and population density. Depending on the population spatial structure, which determines the interactions between organisms, a component AE…

种群与进化 · 定量生物学 2025-03-13 Daniel Cardoso Pereira Jorge , Ricardo Martinez-Garcia

We derive an alternative expression for a delayed logistic equation in which the rate of change in the population involves a growth rate that depends on the population density during an earlier time period. In our formulation, the delay in…

动力系统 · 数学 2022-06-07 Chiu-Ju Lin , Ting-Hao Hsu , Gail S. K. Wolkowicz

Using a lattice model based on Monte Carlo simulations, we study the role of the reproduction pattern on the fate of an evolving population. Each individual is under the selection pressure from the environment and random mutations. The…

统计力学 · 物理学 2009-11-10 Mingfeng He , Hongbo Ruan , Changliang Yu , Lei Yao

Ecosystems are complex systems, currently experiencing several threats associated with global warming, intensive exploitation, and human-driven habitat degradation. Such threats are pushing ecosystems to the brink of collapse. Because of a…

种群与进化 · 定量生物学 2017-01-02 Ricard Sole , Raul Montanez , Salva Duran-Nebreda , Daniel R. Amor , Blai Vidiella , Josep Sardanyes

We consider a simple-model population, whose individuals react with a certain delay to temporal variations of their habitat. We investigate the impact of such a delayed-answer on the survival chances of the population, both in a…

种群与进化 · 定量生物学 2008-01-18 Ioana Bena , Michel Droz , Janusz Szwabinski , Andrzej Pekalski