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We present new theoretical and empirical results on the probability distributions of species persistence times in natural ecosystems. Persistence times, defined as the timespans occurring between species' colonization and local extinction…

种群与进化 · 定量生物学 2012-03-21 S. Suweis , E. Bertuzzo , L. Mari , I. Rodriguez-Iturbe , A. Maritan , A. Rinaldo

Emergent language research has made significant progress in recent years, but still largely fails to explore how communication emerges in more complex and situated multi-agent systems. Existing setups often employ a reference game, which…

人工智能 · 计算机科学 2024-10-18 Cornelius Wolff , Julius Mayer , Elia Bruni , Xenia Ohmer

We consider the problem of understanding the coordinated movements of biological or artificial swarms. In this regard, we propose a learning scheme to estimate the coordination laws of the interacting agents from observations of the swarm's…

系统与控制 · 电气工程与系统科学 2025-09-26 Christos Mavridis , Amoolya Tirumalai , John Baras

Understanding systems level behaviour of many interacting agents is challenging in various ways, here we'll focus on the how the interaction between components can lead to hierarchical structures with different types of dynamics, or…

种群与进化 · 定量生物学 2018-12-26 Henrik Jeldtoft Jensen

The statistical properties of an ecosystem composed of species interacting via pairwise, random interactions and deterministic, concentration limiting self-interaction are studied analytically with tools of equilibrium statistical mechanics…

无序系统与神经网络 · 物理学 2009-11-07 Viviane M. de Oliveira , J. F. Fontanari

In this paper we consider first order differential models of collective behaviors of groups of agents based on the mass conservation equation. Models are formulated taking the spatial distribution of the agents as the main unknown,…

偏微分方程分析 · 数学 2012-03-06 Andrea Tosin , Paolo Frasca

We introduce a new class of models for emergent dynamics. It is based on a new communication protocol which incorporates two main features: short-range kernels which restrict the communication to local geometric balls, and anisotropic…

偏微分方程分析 · 数学 2020-08-31 Roman Shvydkoy , Eitan Tadmor

I present three models of plant--pathogen interactions. The models are stochastic and spatially explicit at the scale of individual plants. For each model, I use a version of pair approximation or moment closure along with a separation of…

数值分析 · 数学 2025-10-20 David H. Brown

Formation and competition of associations are studied in a six-species ecological model where each species has two predators and two prey. Each site of a square lattice is occupied by an individual belonging to one of the six species. The…

种群与进化 · 定量生物学 2008-08-26 G. Szabo , A. Szolnoki , I. Borsos

The dynamics of linear stochastic growth equations on growing substrates is studied. The substrate is assumed to grow in time following the power law $t^\gamma$, where the growth index $\gamma$ is an arbitrary positive number. Two different…

统计力学 · 物理学 2015-05-13 Carlos Escudero

We investigate the optimal control of large-scale autonomous systems under explicitly adversarial conditions, incorporating the probabilistic destruction of agents over time. In many such systems, adversarial interactions arise as different…

最优化与控制 · 数学 2026-02-27 Claire Walton , Isaac Kaminer , Qi Gong , Abram H. Clark , Theodoros Tsatsanifos

It is well-known that population structure is a catalyst for the evolution of cooperation since individuals can reciprocate with their neighbors through local interactions defined by network structures. Previous research typically relies on…

物理与社会 · 物理学 2021-12-16 Anzhi Sheng , Aming Li , Long Wang

Many biological systems regulate phenotypic heterogeneity as a fitness-maximising strategy in uncertain and dynamic environments. Analysis of such strategies is typically confined both to a discrete set of environmental conditions, and to a…

种群与进化 · 定量生物学 2025-07-02 Alexander P Browning , Sara Hamis

Enhancement of the predictive power and robustness of nonlinear population dynamics models allows ecologists to make more reliable forecasts about species' long term survival. However, the limited availability of detailed ecological data,…

斑图形成与孤子 · 物理学 2025-04-18 Indrajyoti Gaine , Malay Banerjee

In this work, we explore emergent behaviors by swarms of anonymous, homogeneous, non-communicating, reactive robots that do not know their global position and have limited relative sensing. We introduce a novel method that enables such…

机器人学 · 计算机科学 2018-04-19 Mario Coppola , Jian Guo , Eberhard K. A. Gill , Guido C. H. E. de Croon

The spatial structure of populations may promote the emergence and maintenance of cooperation. Cooperation in the prisoner's dilemma is favored under specific update rules in evolutionary graph theory models with one individual per node of…

种群与进化 · 定量生物学 2026-01-29 Damien Ribière , Alia Abbara , Anne-Florence Bitbol

Evolutionary branching is analysed in a stochastic, individual-based population model under mutation and selection. In such models, the common assumption is that individual reproduction and life career are characterised by values of a…

种群与进化 · 定量生物学 2025-10-01 S. Sagitov , B. Mehlig , P. Jagers , V. Vatutin

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

We consider a discrete-time stochastic growth model on the $d$-dimensional lattice with non-negative real numbers as possible values per site. The growth model describes various interesting examples such as oriented site/bond percolation,…

概率论 · 数学 2009-12-07 Nobuo Yoshida

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