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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…

Adaptation and Self-Organizing Systems · Physics 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…

Dynamical Systems · Mathematics 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…

Populations and Evolution · Quantitative Biology 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…

Populations and Evolution · Quantitative Biology 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…

Adaptation and Self-Organizing Systems · Physics 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…

Populations and Evolution · Quantitative Biology 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…

Probability · Mathematics 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…

Disordered Systems and Neural Networks · Physics 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 · Physics 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…

Populations and Evolution · Quantitative Biology 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…

Populations and Evolution · Quantitative Biology 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…

Populations and Evolution · Quantitative Biology 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…

Populations and Evolution · Quantitative Biology 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…

Populations and Evolution · Quantitative Biology 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…

Populations and Evolution · Quantitative Biology 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…

Populations and Evolution · Quantitative Biology 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…

Dynamical Systems · Mathematics 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…

Statistical Mechanics · Physics 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…

Populations and Evolution · Quantitative Biology 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…

Populations and Evolution · Quantitative Biology 2008-01-18 Ioana Bena , Michel Droz , Janusz Szwabinski , Andrzej Pekalski