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We introduce and analyze a spatial Lotka-Volterra competition model with local and nonlocal interactions. We study two alternative classes of nonlocal competition that differ in how each species' characteristics determine the range of the…

种群与进化 · 定量生物学 2021-07-14 Gabriel Andreguetto Maciel , Ricardo Martinez-Garcia

We study a four species ecological system with cyclic dominance whose individuals are distributed on a square lattice. Randomly chosen individuals migrate to one of the neighboring sites if it is empty or invade this site if occupied by…

种群与进化 · 定量生物学 2009-11-10 Gyorgy Szabo , Gustavo Arial Sznaider

The dynamics leading to extinction or coexistence of competing species is of great interest in ecology and related fields. Recently a model of intra- and interspecific competition between two species was proposed by Gabel et al. [Phys. Rev.…

种群与进化 · 定量生物学 2015-06-15 Renato Vieira dos Santos , Ronald Dickman

Environmental fluctuations have important consequences in the organization of ecological communities, and understanding how such a variability influences the biodiversity of an ecosystem is a major question in ecology. In this paper, we…

种群与进化 · 定量生物学 2016-11-16 Jorge Hidalgo , Samir Suweis , Amos Maritan

Bacteria regulate their motility through a variety of mechanisms, including quorum sensing (QS) and other density-dependent responses mediated by diffusible signals. While nonlinear density-dependent motility is well known in active-matter…

种群与进化 · 定量生物学 2026-01-21 Mattia Mattei , David Soriano-Paños , Alex Arenas

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

This is the first of two papers where we discuss the limits imposed by competition to the biodiversity of species communities. In this first paper we study the coexistence of competing species at the fixed point of population dynamic…

种群与进化 · 定量生物学 2007-05-23 Ugo Bastolla , Michael Lässig , Susanna C. Manrubia , Angelo Valleriani

Recent experiments in adult mammalian tissues have found scaling relations of the voter model in the dynamics of the genetically labeled population of stem cells. Yet, the reason for this seemingly robust appearance of the voter model…

统计力学 · 物理学 2019-03-08 Hiroki Yamaguchi , Kyogo Kawaguchi

Migration between different habitats is ubiquitous among biological populations. In this Letter, we study a simple quasispecies model for evolution in two different habitats, with different fitness landscapes, coupled through one-way…

种群与进化 · 定量生物学 2010-12-23 Bartlomiej Waclaw , Rosalind J. Allen , Martin R. Evans

We analyze the long term behavior of interacting populations which can be controlled through harvesting. The dynamics is assumed to be discrete in time and stochastic due to the effect of environmental fluctuations. We present extinction…

种群与进化 · 定量生物学 2021-02-18 Alexandru Hening

The competitive exclusion principle asserts that coexisting species must occupy distinct ecological niches (i.e. the number of surviving species can not exceed the number of resources). An open question is to understand if and how different…

种群与进化 · 定量生物学 2020-07-29 Wenping Cui , Robert Marsland , Pankaj Mehta

We introduce and study a stochastic model for the dynamics of colonial species, which reproduce through fission or fragmentation. The fission rate depends on the relative sizes of colonies in the population, and the growth rate of colonies…

概率论 · 数学 2025-01-30 Sylvain Billiard , Charles Medous , Charline Smadi

Collective leadership and herding may arise in standard models of opinion dynamics as an interplay of a strong separation of time scales within the population and its hierarchical organization. Using the voter model as a simple opinion…

物理与社会 · 物理学 2017-07-12 Liudmila Rozanova , Marian Boguna

In subdivided populations, migration acts together with selection and genetic drift and determines their evolution. Building up on a recently proposed method, which hinges on the emergence of a time scale separation between local and global…

种群与进化 · 定量生物学 2015-03-24 Pierangelo Lombardo , Andrea Gambassi , Luca Dall'Asta

We study a class of the stochastic May-Leonard models, with three species dominating each other in a cyclic nonhierarchical way, according to the rock-paper-scissors game. We introduce an unevenness in the system, by considering that one of…

种群与进化 · 定量生物学 2019-05-23 J. Menezes , B. Moura , T. A. Pereira

In many natural situations one observes a local system with many competing species which is coupled by weak immigration to a regional species pool. The dynamics of such a system is dominated by its stable and uninvadable (SU) states. When…

种群与进化 · 定量生物学 2017-07-26 Yael Fried , Nadav M. Shnerb , David A. Kessler

Cyclic dominance between species may yield spiral waves that are known to provide a mechanism enabling persistent species coexistence. This observation holds true even in presence of spatial heterogeneity in the form of quenched disorder.…

种群与进化 · 定量生物学 2020-02-05 Ryan Baker , Michel Pleimling

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 stochastic birth-death competition model for particles with excluded volume is proposed. The particles move, reproduce, and die on a regular lattice. While the death rate is constant, the birth rate is spatially nonlocal and implements…

生物物理 · 物理学 2017-06-29 Nagi Khalil , Cristóbal López , Emilio Hernández-García

A two-species spatially extended system of hosts and parasitoids is studied. There are two distinct kinds of coexistence; one with populations distributed homogeneously in space and another one with spatiotemporal patterns. In the latter…

种群与进化 · 定量生物学 2009-02-19 Matti Peltomaki , Martin Rost , Mikko Alava