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The dynamics of a spatially extended system of two competing species in the presence of two noise sources is studied. A correlated dichotomous noise acts on the interaction parameter and a multiplicative white noise affects directly the…

统计力学 · 物理学 2009-11-11 D. Valenti , L. Schimansky-Geier , X. Sailer , B. Spagnolo

We study the effects of demographic stochasticity on the long-term dynamics of biological coevolution models of community assembly. The noise is induced in order to check the validity of deterministic population dynamics. While mutualistic…

种群与进化 · 定量生物学 2010-04-16 Yohsuke Murase , Takashi Shimada , Nobuyasu Ito , Per Arne Rikvold

The ecological dynamics of interacting predator and prey populations can display sustained oscillations, as for instance predicted by the Rosenzweig-MacArthur predator-prey model. The presence of demographic stochasticity, due to the…

种群与进化 · 定量生物学 2025-03-10 Solmaz Golmohammadi , Mina Zarei , Jacopo Grilli

We explore the impact of different forms of stochasticity on the expansion dynamics of a stochastic growth model called the $\infty$-parent spatial $\Lambda$-Fleming Viot process. This process belongs to a family of population genetics…

概率论 · 数学 2025-07-31 Jan Lukas Igelbrink , Apolline Louvet

The random Lotka-Volterra model is widely used to describe the dynamical and thermodynamic features of ecological communities. In this work, we consider random symmetric interactions between species and analyze the strongly competitive…

无序系统与神经网络 · 物理学 2022-02-22 Giulia Garcia Lorenzana , Ada Altieri

In this work we consider three species competing with each other in the same habitat. One of the species lives in the entire habitat, competing with the other two species, while the other two inhabit two disjoint regions of the habitat.…

偏微分方程分析 · 数学 2024-08-07 Pablo Álvarez-Caudevilla , Cristina Brändle , Mónica Molina-Becerra , Antonio Suárez

We consider a stochastic individual based model where each predator searches during a random time and then manipulates its prey or rests. The time distributions may be non-exponential. An age structure allows to describe these interactions…

动力系统 · 数学 2021-03-31 Vincent Bansaye , Bertand Cloez

We revisit the problem of the predominance of the 'weakest' species in the context of Lotka-Volterra and May-Leonard implementations of a spatial stochastic rock-paper-scissors model in which one of the species has its predation probability…

种群与进化 · 定量生物学 2019-10-16 P. P. Avelino , B. F. de Oliveira , R. S. Trintin

In this research, we revisit the paper by Pal et al. [Int. J. Appl. Comput. Math (2017) 3:1833-1845] and comment on the claim that global stability of the interior equilibrium point depends on some key parameters. This is not true, and we…

动力系统 · 数学 2023-07-14 Kendall H. Bearden , Kwadwo Antwi-Fordjour

We have analyzed the interplay between noise and periodic modulations in a classical Lotka-Volterra model of two-species competition. We have found that the consideration of noise changes drastically the behavior of the system and leads to…

统计力学 · 物理学 2009-10-31 J. M. G. Vilar , R. V. Solé

Resource are often not uniformly distributed within a population. Spatial variations of concentration of a resource, change the fitness of competing strategies locally. The notion of fitness varying with respect to both genotype and…

种群与进化 · 定量生物学 2022-04-08 Hossein Nemati , Mohammad Reza Ejtehadi , Kamran Kaveh

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

When faced with an imminent risk of predation, many animals react to escape consumption. Antipredator strategies are performed by individuals acting as a group to intimidate predators and minimize the damage when attacked. We study the…

种群与进化 · 定量生物学 2021-06-02 J. Menezes

We consider two dimensional Lotka-Volterra systems in fluctuating environment. Relying on recent results on stochastic persistence and piecewise deterministic Markov processes, we show that random switching between two environments both…

概率论 · 数学 2016-12-16 Michel Benaïm , Claude Lobry

Empirical observations show that ecological communities can have a huge number of coexisting species, also with few or limited number of resources. These ecosystems are characterized by multiple type of interactions, in particular…

种群与进化 · 定量生物学 2018-05-18 Chengyi Tu , Samir Suweis , Jacopo Grillib , Marco Formentin , Amos Maritan

Empirical observations show that ecological communities can have a huge number of coexisting species, also with few or limited number of resources. These ecosystems are characterized by multiple type of interactions, in particular…

种群与进化 · 定量生物学 2018-05-21 Chengyi Tu , Samir Suweis , Jacopo Grilli , Marco Formentin , Amos Maritan

In this paper we investigate some free boundary problems for the Lotka-Volterra type prey-predator model in one space dimension. The main objective is to understand the asymptotic behavior of the two species (prey and predator) spreading…

偏微分方程分析 · 数学 2014-01-14 Mingxin Wang

We study the degree of success of a single predator hunting a herd of prey on a two dimensional square lattice landscape. We explicitly consider the self volume of the prey restraining their dynamics on the lattice. The movement of both…

种群与进化 · 定量生物学 2016-10-05 M. Schwarzl , A. Godec , G. Oshanin , R. Metzler

We study the spatial distributions of two randomly interacting species, in the presence of an external multiplicative colored noise. The dynamics of the ecosystem is described by a coupled map lattice model. We find a nonmonotonic behavior…

统计力学 · 物理学 2007-05-23 D. Valenti , A. Fiasconaro , B. Spagnolo

Predator prey interactions are one of ecology's central research themes, but with many interdisciplinary implications across the social and natural sciences. Here we consider an often-overlooked species in these interactions, namely…

种群与进化 · 定量生物学 2024-07-16 Sayantan Nag Chowdhury , Jeet Banerjee , Matjaž Perc , Dibakar Ghosh