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We analyze a simple model of adaptive competition which captures essential features of a variety of adaptive competitive systems in the social and biological sciences. Each of N agents, at each time step of a game, joins one of two groups.…

adap-org · Physics 2007-05-23 Robert Savit , Radu Manuca , Rick Riolo

The possible control of competitive invasion by infection of the invader and multiplicative noise is studied. The basic model is the Lotka-Volterra competition system with emergent carrying capacities. Several stationary solutions of the…

Populations and Evolution · Quantitative Biology 2015-08-24 Ivo Siekmann , Horst Malchow

In this paper we study multiagent models with time-varying type change. Assume that there exist a closed system of $N$ agents classified into $r$ types according to their states of an internal system; each agent changes its type by an…

Probability · Mathematics 2007-05-23 Biao Wu

We present properties of Lotka-Volterra equations describing ecological competition among a large number of competing species. First we extend to the case of a non-homogeneous niche space stability conditions for solutions representing…

Populations and Evolution · Quantitative Biology 2009-07-22 Emilio Hernandez-Garcia , Cristobal Lopez , Simone Pigolotti , Ken H. Andersen

Classical models for competition between two species usually predict exclusion or divergent evolution of resource exploitation. However, recent experimental data show that coexistence is possible for very similar species competing for the…

Populations and Evolution · Quantitative Biology 2009-11-13 I. C. Charret , J. N. C. Louzada , A. T. Costa

A cluster theory based mathematical model was developed and used to simulate the dynamics of a system composed of a large number of interacting agents-clusters with different size. The case of a system formed by a constant total number of…

Physics and Society · Physics 2007-05-23 Vitalie Eremeev , Ion Rasca , Florentin Paladi

We study the evolution of social clusters, in an analogy with physical spin systems, and in detail show the importance of the concept of the "self" of each agent with quantifiable variable attributes. We investigate the effective influence…

Adaptation and Self-Organizing Systems · Physics 2008-06-03 Fariel Shafee

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…

Disordered Systems and Neural Networks · Physics 2022-02-22 Giulia Garcia Lorenzana , Ada Altieri

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…

Populations and Evolution · Quantitative Biology 2021-07-14 Gabriel Andreguetto Maciel , Ricardo Martinez-Garcia

The forces which drive growth, development, survival and change within an ecological system involving a predator and prey specie are not easily addressed in the field. To better understand the dynamics in the system, ecologists have turned…

General Mathematics · Mathematics 2025-10-14 Arhonefe Joseph Ogethakpo , Sunday Amaju Ojobor

We investigate the long term behavior for a class of competition-diffusion systems of Lotka-Volterra type for two competing species in the case of low regularity assumptions on the data. Due to the coupling that we consider the system…

Analysis of PDEs · Mathematics 2008-06-06 Marco Squassina

Decision making is a fundamental capability of living organisms, and has recently been gaining increasing importance in many engineering applications. Here, we consider a simple decision-making principle to identify an optimal choice in…

Applied Physics · Physics 2020-03-27 Tomoaki Niiyama , Genki Furuhata , Atsushi Uchida , Makoto Naruse , Satoshi Sunada

A population of heterogenous agents compeeting through a minority rule is investigated. Agents which frequently loose are selected for evolution by changing their strategies. The stationary composition of the population resulting for this…

Disordered Systems and Neural Networks · Physics 2009-10-31 Alexei Vazquez

Based on previous work done in this field, we build a dynamical system that describes changes in drug addiction in an isolated population when two addictive substances are available simultaneously. We then use our model to investigate…

Dynamical Systems · Mathematics 2022-12-16 Stephen Colegate , Changrui Liu

In the present work we introduce a novel multi-agent model with the aim to reproduce the dynamics of a double auction market at microscopic time scale through a faithful simulation of the matching mechanics in the limit order book. The…

Trading and Market Microstructure · Quantitative Finance 2015-05-18 Marco Bartolozzi

This paper is concerned with a Lotka-Volterra type competition model with free boundaries in time-periodic environment. One species is assumed to adopt nonlocal dispersal and the other one adopts mixed dispersal, which is a combination of…

Analysis of PDEs · Mathematics 2021-01-21 Qiaoling Chen , Fengquan Li , Sanyi Tang , Feng Wang

This paper presents a study of the two-predators-two-preys discrete-time Lotka-Volterra model with self- inhibition terms for preys with direct applications to ecological problems. Parameters in the model are modified so that each of them…

Dynamical Systems · Mathematics 2012-11-27 Hanbaek Lyu , Piotr Grzegorz Jablonski

We study the collective behavior in a stochastic agent-based model of active matter. Provided a critical take-up of energy, agents produce two types of goods $x$, $y$ that follow a generalized Lotka-Volterra dynamics. For isolated agents,…

Adaptation and Self-Organizing Systems · Physics 2025-10-20 Frank Schweitzer , Georges Andres , Adrien Baut , Giona Casiraghi , Christoph Gote , Ramona Roller

The global dynamics of the two-species Lotka-Volterra competition patch model with asymmetric dispersal is classified under the assumptions of weak competition and the weighted digraph of the connection matrix is strongly connected and…

Classical Analysis and ODEs · Mathematics 2022-01-19 Shanshan Chen , Junping Shi , Zhisheng Shuai , Yixiang Wu

We investigate a novel approach to resilient distributed optimization with quadratic costs in a multi-agent system prone to unexpected events that make some agents misbehave. In contrast to commonly adopted filtering strategies, we draw…

Systems and Control · Electrical Eng. & Systems 2025-02-11 Luca Ballotta , Giacomo Como , Jeff S. Shamma , Luca Schenato