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Exploiting others is beneficial individually but it could also be detrimental globally. The reverse is also true: a higher cooperation level may change the environment in a way that is beneficial for all competitors. To explore the possible…

Physics and Society · Physics 2018-02-23 Attila Szolnoki , Xiaojie Chen

From critical infrastructure, to physiology and the human brain, complex systems rarely occur in isolation. Instead, the functioning of nodes in one system often promotes or suppresses the functioning of nodes in another. Despite advances…

Statistical Mechanics · Physics 2019-02-20 Michael M. Danziger , Ivan Bonamassa , Stefano Boccaletti , Shlomo Havlin

A system of replicators with Hebbian random couplings is studied using dynamical methods. The self-reproducing species are here characterized by a set of binary traits and interact based on complementarity. In the case of an extensive…

Disordered Systems and Neural Networks · Physics 2009-11-11 Tobias Galla

Many-body long-range interacting systems can remain approximately in a quasi-stationary state far-from-thermodynamic equilibrium. These states are typically characterized by a pair of counter-propagating density clusters, or by a single…

Pattern Formation and Solitons · Physics 2022-12-20 Danilo M. Rivera , Roberto E. Navarro

We propose a minimal off-lattice model of living organisms where just a very few dynamical rules of growth are assumed. The stable coexistence of many clusters is detected when we replace the global restriction rule by a locally applied…

Physics and Society · Physics 2021-08-19 B. F. de Oliveira , M. V. de Moraes , D. Bazeia , A. Szolnoki

A first-principles statistical theory is constructed for the evolution of two dimensional interfaces in Laplacian fields. The aim is to predict the pattern that the growth evolves into, whether it becomes fractal and if so the…

Condensed Matter · Physics 2008-02-03 Raphael Blumenfeld

Cooperation is beneficial for the species as a whole, but, at the level of an individual, defection pays off. Natural selection is then expected to favor defectors and eliminate cooperation. This prediction is in stark contrast with the…

Populations and Evolution · Quantitative Biology 2013-04-30 Kirill S. Korolev

Biofilms are complex structures which are inhabited by numerous amount of different species of microorganisms. Due to their ubiquity, they influence human life on an everyday basis. It is therefore important to understand the interactions…

Computational Engineering, Finance, and Science · Computer Science 2025-09-03 Felix Klempt , Hendrik Geisler , Meisam Soleimani , Philipp Junker

Spatio-temporal extensions of familiar compartment models for disease transmission incorporating diffusive behavior, or interactions between individuals at separate locations, are explored. The models considered have the character of…

Biological Physics · Physics 2022-06-28 Joseph Rudnick , David Jasnow , Jorge Vinals

On base of Hamiltonian formalism, we show that Hopf bifurcation arrives, in the course of the system evolution, at creation of revolving region of the phase plane being bounded by limit cycle. A revolving phase plane with a set of limit…

Statistical Mechanics · Physics 2007-05-23 A. I. Olemskoi , I. A. Shuda

We introduce a model for describing the dynamics of large numbers of interacting cells. The fundamental dynamical variables in the model are sub-cellular elements, which interact with each other through phenomenological intra- and…

Quantitative Methods · Quantitative Biology 2007-05-23 T. J. Newman

Piecewise smooth hybrid systems, involving continuous and discrete variables, are suitable models for describing the multiscale regulatory machinery of the biological cells. In hybrid models, the discrete variables can switch on and off…

Computational Engineering, Finance, and Science · Computer Science 2012-08-21 Vincent Noel , Dima Grigoriev , Sergei Vakulenko , Ovidiu Radulescu

We propose an alternative to the prevailing two origin of life narratives, one based on a replicator first hypothesis, and one based on a metabolism first hypothesis. Both hypotheses have known difficulties: All known evolvable molecular…

Populations and Evolution · Quantitative Biology 2017-06-20 Nicholas Guttenberg , Nathaniel Virgo , Chris Butch , Norman Packard

Cooperation is central to the organization of complex biological and social systems. Most theoretical models assume homogeneous environments; in reality, populations inhabit spatially varying landscapes in which the payoffs of cooperation…

Populations and Evolution · Quantitative Biology 2026-04-15 Amir Kargaran , Kamran Kaveh , Krishnendu Chatterjee

We study a family of networks of autocatalytic reactions, which we call hyperchains, that are a generalization of hypercycles. Hyperchains, and the associated dynamical system called replicator equations, are a possible mechanism for…

Dynamical Systems · Mathematics 2021-04-23 Badal Joshi , Gheorghe Craciun

Life can be viewed as a localized chemical system that sits on, or in the basin of attraction of, a metastable dynamical attractor state that remains out of equilibrium with the environment. Such a view of life allows that new living states…

Populations and Evolution · Quantitative Biology 2018-01-08 David A. Baum

Understanding the emergence and sustainability of cooperation is a fundamental problem in evolutionary biology and is frequently studied by the framework of evolutionary game theory. A very powerful mechanism to promote cooperation is…

Computer Science and Game Theory · Computer Science 2015-05-27 M. Brede

As cells grow and divide under a given environment, they become crowded and resources are limited, as seen in bacterial biofilms and multicellular aggregates. These cells often show strong interactions through exchanging chemicals, as in…

Cell Behavior · Quantitative Biology 2017-02-08 Jumpei F Yamagishi , Nen Saito , Kunihiko Kaneko

Recently, computational modelling became a very important research tool that enables us to study problems that for decades evaded scientific analysis. Evolutionary systems are certainly examples of such problems: they are composed of many…

Populations and Evolution · Quantitative Biology 2009-07-04 Adam Lipowski , Dorota Lipowska

This work investigates how biodiversity is affected in a cyclic spatial May-Leonard model with hierarchical and non-hierarchical rules. Here we propose a generalization of the traditional rock-paper-scissors model by considering highly…

Populations and Evolution · Quantitative Biology 2025-05-08 D. Bazeia , M. J. B. Ferreira , B. F. de Oliveira , W. A. dos Santos
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