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We propose a minimal model of predator-swarm interactions which captures many of the essential dynamics observed in nature. Different outcomes are observed depending on the predator strength. For a "weak" predator, the swarm is able to…

Adaptation and Self-Organizing Systems · Physics 2014-03-14 Yuxin Chen , Theodore Kolokolnikov

Main aim of this topical issue is to report recent advances in noisy nonequilibrium processes useful to describe the dynamics of ecological systems and to address the mechanisms of spatio-temporal pattern formation in ecology both from the…

Biological Physics · Physics 2009-11-13 Astero Provata , Igor M. Sokolov , Bernardo Spagnolo

We introduce a simple model to describe the interplay between specific and non-specific interactions. We study the influence of various physical factors on the static and dynamic properties of the specific interactions of our model and show…

Soft Condensed Matter · Physics 2016-06-22 Dino Osmanovic , Yitzhak Rabin

We present a method of discrete modeling and analysis of multilevel dynamics of complex large-scale hierarchical dynamic systems subject to external dynamic control mechanism. Architectural model of information system supporting simulation…

Computational Engineering, Finance, and Science · Computer Science 2008-09-23 Armen Bagdasaryan

Biological and social systems are structured at multiple scales, and the incentives of individuals who interact in a group may diverge from the collective incentive of the group as a whole. Mechanisms to resolve this tension are responsible…

Populations and Evolution · Quantitative Biology 2023-05-31 Daniel B. Cooney , Simon A. Levin , Yoichiro Mori , Joshua B. Plotkin

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…

Populations and Evolution · Quantitative Biology 2022-05-03 Zachary Jackson , BingKan Xue

An Adversarial Swarm model consists of two swarms that are interacting with each other in a competing manner. In the present study, an agent-based Adversarial swarm model is developed comprising of two competing swarms, the Attackers and…

Adaptation and Self-Organizing Systems · Physics 2021-05-28 Soham Gupta , John Baker

According to the competitive exclusion principle, in a finite ecosystem, extinction occurs naturally when two or more species compete for the same resources. An important question that arises is: when coexistence is not possible, which…

Populations and Evolution · Quantitative Biology 2017-08-16 Marcelo Martins de Oliveira , Ronald Dickman

A symmetrical cubic discrete coupled logistic equation is proposed to model the symbiotic interaction of two isolated species. The coupling depends on the population size of both species and on a positive constant $\lambda$, named the…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Ricardo Lopez-Ruiz , Daniele Fournier-Prunaret

Predators often consume multiple prey and by mutually subsidizing a shared predator, the prey may reciprocally harm each other. When predation levels are high, this apparent competition can culminate in a prey species being displaced.…

Populations and Evolution · Quantitative Biology 2019-02-12 Sebastian J. Schreiber , Swati Patel

A general framework for age-structured predator-prey systems is introduced. Individuals are distinguished into two classes, juveniles and adults, and several possible interactions are considered. The initial system of partial differential…

Populations and Evolution · Quantitative Biology 2014-11-13 Marcel Mohr , Maria Vittoria Barbarossa , Christina Kuttler

As a generalization of the 3-strategy Rock-Scissors-Paper game dynamics in space, cyclical interaction models of six mutating species are studied on a square lattice, in which each species is supposed to have two dominant, two subordinated…

Statistical Mechanics · Physics 2016-08-31 G. Szabo , T. Czaran

This paper investigates questions related to the modularity in discrete models of biological interaction networks. We develop a theoretical framework based on the analysis of their asymptotic dynamics. More precisely, we exhibit formal…

Discrete Mathematics · Computer Science 2012-01-16 Franck Delaplace , Hanna Klaudel , Tarek Melliti , Sylvain Sené

In this article a generalized mathematical model describing the interactions between malignant tumour and immune system with discrete time delay incorporated into the system is considered. Time delay represents the time required to generate…

Tissues and Organs · Quantitative Biology 2015-11-05 Monika Joanna Piotrowska

In this paper, we study connections between the classical model-based approach to nonlinear system theory, where systems are represented by equations, and the nonlinear behavioral approach, where systems are defined as sets of trajectories.…

Optimization and Control · Mathematics 2024-05-30 Antonio Fazzi , Alessandro Chiuso

Standard models of population dynamics focus on the the interaction, survival, and extinction of the competing species individually. Real ecological systems, however, are characterized by an abundance of species (or strategies, in the…

Populations and Evolution · Quantitative Biology 2014-05-27 Alexander Dobrinevski , Mikko Alava , Tobias Reichenbach , Erwin Frey

This paper deals with the modeling of social competition, possibly resulting in the onset of extreme conflicts. More precisely, we discuss models describing the interplay between individual competition for wealth distribution that, when…

Mathematical Physics · Physics 2014-03-17 Nicola Bellomo , Miguel A. Herrero , Andrea Tosin

This paper investigates the large time behaviour of a three species reaction-diffusion system, modelling the spatial invasion of two predators feeding on a single prey species. In addition to the competition for food, the two predators…

Analysis of PDEs · Mathematics 2020-07-07 Arnaud Ducrot , Thomas Giletti , Jong-Shenq Guo , Masahiko Shimojo

The self-protection of alliances against external invaders is a key concept behind the maintenance of biodiversity in the face of natural selection. But since these alliances, which can be formed by different numbers of competitors, can…

Populations and Evolution · Quantitative Biology 2022-12-07 Attila Szolnoki , Matjaz Perc

Bacteria possess diverse mechanisms to regulate their motility in response to environmental and physiological signals, enabling them to navigate complex habitats and adapt their behavior. Among these mechanisms, interspecies recognition…

Populations and Evolution · Quantitative Biology 2025-12-01 Mattia Mattei , David Soriano Paños , Mahantesh Halappanavar , Alex Arenas
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