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How do interactions between species influence their spatial distribution in an ecosystem? To answer this question, we introduce a spatially-extended ecosystem of Generalized Lotka-Volterra type, where species can diffuse and interactions…

统计力学 · 物理学 2025-01-08 Alessandro Salvatore , Fabián Aguirre-López , Ruben Zakine

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

Predicting the outcomes of species invasions is a central goal of ecology, a task made especially challenging due to ecological feedbacks. To address this, we develop a general theory of ecological invasions applicable to a wide variety of…

种群与进化 · 定量生物学 2025-08-22 Zhijie Feng , Emmy Blumenthal , Pankaj Mehta , Akshit Goyal

We first present a predator-prey model for two species and then extend the model to three species where the two predator species engage in mutualistic predation. Constant effort harvesting and the impact of by-catch issue are also…

动力系统 · 数学 2020-09-03 Mohammad M. Amirian , I. N. Towers , Z. Jovanoski , Andrew J. Irwin

A coupled map lattice of generalized Lotka-Volterra equations in the presence of colored multiplicative noise is used to analyze the spatiotemporal evolution of three interacting species: one predator and two preys symmetrically competing…

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

Complex system stability can be studied via linear stability analysis using Random Matrix Theory (RMT) or via feasibility (requiring positive equilibrium abundances). Both approaches highlight the importance of interaction structure. Here…

种群与进化 · 定量生物学 2023-05-17 Xiaoyuan Liu , George W. A. Constable , Jonathan W. Pitchford

The shape of allele-frequency clines maintained by migration-selection balance depends not only on the properties of migration and selection, but also on the dominance relations among alleles and on linkage to other loci under selection. We…

种群与进化 · 定量生物学 2018-12-18 Reinhard Bürger

We study the dynamics of predator-prey systems where prey are confined to a single region of space and where predators move randomly according to a power-law (L\'evy) dispersal kernel. Site fidelity, an important feature of animal…

统计力学 · 物理学 2018-09-26 Gabriel Mercado-Vásquez , Denis Boyer

We consider the classical two-species Lotka-Volterra competition-diffusion system in the strong-weak competition case. When the corresponding minimal speed of the traveling waves is not linear determined, we establish the precise asymptotic…

偏微分方程分析 · 数学 2022-01-13 Chang-Hong Wu , Dongyuan Xiao , Maolin Zhou

Ecosystems are formed by networks of species and their interactions. Traditional models of such interactions assume a constant interaction strength between a given pair of species. However, there is often significant trait variation among…

种群与进化 · 定量生物学 2022-05-03 Zachary Jackson , BingKan Xue

In this letter we give specific examples of Z_N Lotka-Volterra competition models leading to the formation of string networks. We show that, in order to promote coexistence, the species may arrange themselves around regions with a high…

适应与自组织系统 · 物理学 2015-06-16 P. P. Avelino , D. Bazeia , J. Menezes , B. F. de Oliveira

We investigate the long-term web structure emerging in evolutionary food web models when different types of functional responses are used. We find that large and complex webs with several trophic layers arise only if the population dynamics…

种群与进化 · 定量生物学 2007-05-23 Barbara Drossel , Alan McKane , Christopher Quince

Cyclic (rock-paper-scissors-type) population models serve to mimic complex species interactions. Focusing on a paradigmatic three-species model with mutations in one dimension, we observe an interplay between equilibrium and non-equilibrium…

统计力学 · 物理学 2010-07-07 Anton A. Winkler , Tobias Reichenbach , Erwin Frey

We construct two ordinary-differential-equation models of a predator feeding adaptively on two prey types, and we evaluate the models' ability to fit data on freshwater plankton. We model the predator's switch from one prey to the other in…

动力系统 · 数学 2018-09-19 Sofia H. Piltz , Lauri Harhanen , Mason A. Porter , Philip K. Maini

Cyclic predator-prey systems have been shown to give rise to rich, and novel, space-time patterns, as for example coarsening domains with non-trivial in-domain dynamics. In this work we study numerically the responses of a cyclic…

统计力学 · 物理学 2019-07-01 Shadisadat Esmaeili , Barton L. Brown , Michel Pleimling

Analyzing coexistence and survival scenarios of Lotka-Volterra (LV) networks in which the total biomass is conserved is of vital importance for the characterization of long-term dynamics of ecological communities. Here, we introduce a…

种群与进化 · 定量生物学 2013-04-26 Johannes Knebel , Torben Krüger , Markus F. Weber , Erwin Frey

We study an evolutionary prisoner's dilemma game with two layered graphs, where the lower layer is the physical infrastructure on which the interactions are taking place and the upper layer represents the connections for the strategy…

物理与社会 · 物理学 2009-11-13 Zhi-Xi Wu , Ying-Hai Wang

We study the conditions under which species interaction, as described by continuous versions of the competitive Lotka-Volterra model (namely the nonlocal Kolmogorov-Fisher model, and its differential approximation), can support the…

斑图形成与孤子 · 物理学 2014-04-02 Pavel V. Paulau , Damia Gomila , Cristobal Lopez , Emilio Hernandez-Garcia

We consider a probabilistic cellular automaton to analyze the stochastic dynamics of a predator-prey system. The local rules are Markovian and are based in the Lotka-Volterra model. The individuals of each species reside on the sites of a…

种群与进化 · 定量生物学 2016-08-14 Kelly C. de Carvalho , Tânia Tomé