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We explore the complex dynamical behavior of two simple predator-prey models of biological coevolution that on the ecological level account for interspecific and intraspecific competition, as well as adaptive foraging behavior. The…

Populations and Evolution · Quantitative Biology 2009-11-28 Per Arne Rikvold

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

We study the statistics of ecosystems with a variable number of co-evolving species. The species interact in two ways: by prey-predator relationships and by direct competition with similar kinds. The interaction coefficients change slowly…

Adaptation and Self-Organizing Systems · Physics 2015-06-26 Michael Lassig , Ugo Bastolla , Susanna C. Manrubia , Angelo Valleriani

A swarm of preys when attacked by a predator is known to rely on their cooperative interactions to escape. Understanding such interactions of collectively moving preys and the emerging patterns of their escape trajectories still remain…

Biological Physics · Physics 2019-10-25 Dipanjan Chakraborty , Sanchayan Bhunia , Rumi De

Eco-evolutionary dynamics is crucial to understand how individuals' behaviors and the surrounding environment interplay with each other. Typically, it is assumed that individuals update their behaviors via linear imitation function, i.e.,…

Populations and Evolution · Quantitative Biology 2022-11-23 Yuan Liu , Lixuan Cao , Bin Wu

Many of the observed species interactions embedded in ecological communities are not permanent, but are characterized by temporal changes that are observed along with abiotic and biotic variations. While work has been done describing and…

Populations and Evolution · Quantitative Biology 2016-01-21 Serguei Saavedra , Rudolf P. Rohr , Miguel A. Fortuna , Nuria Selva , Jordi Bascompte

The far-reaching consequences of ecological interactions in the dynamics of biological communities remain an intriguing subject. For decades, competition has been a cornerstone in ecological processes, but mounting evidence shows that…

Populations and Evolution · Quantitative Biology 2021-07-19 F. Meloni , G. Nakamura , B. Grammaticos , A. S. Martinez , M. Badoual

The mechanisms underlying eco-evolutionary dynamics (the feedback between ecological and evolutionary processes) are often unknown. Here, we propose that classical theory from behavioral ecology can provide a greater understanding of the…

Populations and Evolution · Quantitative Biology 2019-12-23 Kiyoko M. Gotanda , Damien R. Farine , Claudius F. Kratochwil , Kate L. Laskowski , Pierre-Olivier Montiglio

The internal behaviour of a population is an important feature to take account of when modelling their dynamics. In line with kin selection theory, many social species tend to cluster into distinct groups in order to enhance their overall…

Methodology · Statistics 2023-11-02 Blake McGrane-Corrigan , Oliver Mason , Rafael de Andrade Moral

The spatial scale of population synchrony gives the characteristic distance at which the population fluctuations are correlated. Therefore, it gives also the characteristic size of the regions of simultaneous population depletion, or even…

Populations and Evolution · Quantitative Biology 2020-12-22 Miguel Ángel Fernández-Grande , Francisco Javier Cao-Garcia

This paper addresses an open inverse problem at the interface of mathematical analysis and spatial ecology: the unique identification of unknown spatial anomalies -- interpreted as zones of habitat degradation -- and their associated…

Analysis of PDEs · Mathematics 2025-12-30 Yuhan Li , Hongyu Liu , Catharine W. K. Lo

We study an individual-based predator-prey model of biological coevolution, using linear stability analysis and large-scale kinetic Monte Carlo simulations. The model exhibits approximate 1/f noise in diversity and population-size…

Populations and Evolution · Quantitative Biology 2007-06-13 Per Arne Rikvold , Volkan Sevim

Over the last few decades, ecologists have come to appreciate that key ecological patterns, which describe ecological communities at relatively large spatial scales, are not only scale dependent, but also intimately intertwined. The…

Populations and Evolution · Quantitative Biology 2016-09-13 Fabio Peruzzo , Sandro Azaele

Dynamic exploration for a predator-prey bio-system of two species with ratio-dependent functional response is carried out, where the capability to predate in both the stages of the predator, the juvenile and the matured, is taken into…

Populations and Evolution · Quantitative Biology 2022-12-27 Debasish Bhattacharjee , Tapasvini Roy , Santanu Acharjee , Tarini Kumar Dutta

The sustainable management of common resources often leads to a social dilemma known as the tragedy of the commons: individuals benefit from rapid extraction of resources, while communities as a whole benefit from more sustainable…

Populations and Evolution · Quantitative Biology 2025-02-11 Tianyong Yao , Daniel B. Cooney

We compare and contrast the long-time dynamical properties of two individual-based models of biological coevolution. Selection occurs via multispecies, stochastic population dynamics with reproduction probabilities that depend nonlinearly…

Populations and Evolution · Quantitative Biology 2011-11-10 Per Arne Rikvold

Systems composed of distinct complex networks are present in many real-world environments, from society to ecological systems. In the present paper, we propose a network model obtained as a consequence of interactions between two species…

Biological Physics · Physics 2007-08-08 Luis Enrique Correa da Rocha , Luciano da Fontoura Costa

A robotic swarm that is required to operate for long periods in a potentially unknown environment can use both evolution and individual learning methods in order to adapt. However, the role played by the environment in influencing the…

Neural and Evolutionary Computing · Computer Science 2018-04-23 Andreas Steyven , Emma Hart , Ben Paechter

Fluctuating environments are situations where the spatio-temporal stochasticity plays a significant role in the evolutionary dynamics. The study of the evolution of cooperation in these environments typically assumes a homogeneous, well…

Populations and Evolution · Quantitative Biology 2024-11-01 Viktor Stojkoski , Marko Karbevski , Zoran Utkovski , Lasko Basnarkov , Ljupco Kocarev

Ecology and evolution are inherently linked, and studying a mathematical model that considers both holds promise of insightful discoveries related to the dynamics of cooperation. In the present article, we use the prisoner's dilemma (PD)…

Populations and Evolution · Quantitative Biology 2021-08-10 Sayantan Nag Chowdhury , Srilena Kundu , Jeet Banerjee , Matjaž Perc , Dibakar Ghosh
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