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We study a model ecosystem by means of dynamical techniques from disordered systems theory. The model describes a set of species subject to competitive interactions through a background of resources, which they feed upon. Additionally…

Populations and Evolution · Quantitative Biology 2009-11-13 Yoshimi Yoshino , Tobias Galla , Kei Tokita

In this paper we extend the framework of evolutionary inspection game put forward recently by the author and coworkers to a large class of conflict interactions dealing with the pressure executed by the major player (or principal) on the…

Optimization and Control · Mathematics 2022-05-03 Vassili Kolokoltsov

Social animals have to take into consideration the behaviour of conspecifics when making decisions to go by their daily lives. These decisions affect their fitness and there is therefore an evolutionary pressure to try making the right…

Populations and Evolution · Quantitative Biology 2009-03-09 David Lusseau

Experiments in predator-prey systems show the emergence of long-term cycles. Deterministic model typically fails in capturing these behaviors, which emerge from the microscopic interplay of individual based dynamics and stochastic effects.…

Numerical Analysis · Mathematics 2022-03-03 Giacomo Albi , Roberto Chignola , Federica Ferrarese

The broad application range of the predator-prey modelling enabled us to apply it to represent the dynamics of the work-employment system. For the adopted period, we conclude that this dynamics is chaotic in the beginning of the time series…

Computational Engineering, Finance, and Science · Computer Science 2011-03-21 Nilo Serpa , Jose Roberto Steiner

We study fixation probabilities and times as a consequence of neutral genetic drift in subdivided populations, motivated by a model of the cultural evolutionary process of language change that is described by the same mathematics as the…

Populations and Evolution · Quantitative Biology 2015-05-26 R A Blythe

Mathematical modelling of the evolution of the size-spectrum dynamics in aquatic ecosystems was discovered to be a powerful tool to have a deeper insight into impacts of human- and environmental driven changes on the marine ecosystem. In…

Analysis of PDEs · Mathematics 2024-01-02 Laura Kanzler , Benoit Perthame , Benoit Sarels

Insects and birds are often faced by opposing requirements for agile and stable flight. Here, we explore the interplay between aerodynamic effort, maneuverability, and stability in a model system that consists of a $\Lambda$-shaped flyer…

Fluid Dynamics · Physics 2014-11-26 Yangyang Huang , Monika Nitsche , Eva Kanso

We present studies for an individual based model of three interacting populations whose individuals are mobile in a 2D-lattice. We focus on the pattern formation in the spatial distributions of the populations. Also relevant is the…

Populations and Evolution · Quantitative Biology 2007-12-18 I. C. Charret , M. V. Carneiro

Bird flocking is a striking example of collective animal behaviour. A vivid illustration of this phenomenon is provided by the aerial display of vast flocks of starlings gathering at dusk over the roost and swirling with extraordinary…

We consider a model of cultural evolution for a strategy selection in a population of individuals who interact in a game theoretic framework. The evolution combines individual learning of the environment (population strategy profile),…

Populations and Evolution · Quantitative Biology 2020-06-03 Misha Perepelitsa

We study the capture of a diffusing "lamb" by diffusing "lions" in one dimension. The capture dynamics is exactly soluble by probabilistic techniques when the number of lions is very small, and is tractable by extreme statistics…

Statistical Mechanics · Physics 2009-10-31 S. Redner , P. L. Krapivsky

Various bacterial strains exhibit colonial branching patterns during growth on poor substrates. These patterns reflect bacterial cooperative self-organization and cybernetic processes of communication, regulation and control employed during…

Condensed Matter · Physics 2015-06-25 Ido Golding , Yonathan Kozlovsky , Inon Cohen , Eshel Ben-Jacob

We consider a model for population dynamics such as for the evolution of bacterial colonies which is of the Fisher type but where the competitive interaction among individuals is non-local, and show that spatial structures with interesting…

Pattern Formation and Solitons · Physics 2016-09-08 M. A. Fuentes , M. N. Kuperman , V. M. Kenkre

Primates display a marked ability to learn habits in uncertain and dynamic environments. The associated perceptions and actions of such habits engage distributed neural circuits. Yet, precisely how such circuits support the computations…

Neurons and Cognition · Quantitative Biology 2020-06-26 Karol P. Szymula , Fabio Pasqualetti , Ann M. Graybiel , Theresa M. Desrochers , Danielle S. Bassett

We propose a new model in order to study behaviors of self-organized system such as a group of animals. We assume that the individuals have two degrees of freedom corresponding one to their internal state and the other to their external…

Biological Physics · Physics 2015-10-23 P. The Nguyen , V. Thanh Ngo , H. T. Diep

Thermal soaring enables birds to perform cost-efficient flights during foraging or migration trips. Yet, although all soaring birds exploit vertical winds effectively, this group contains species that vary strongly in their morphologies.…

Quantitative Methods · Quantitative Biology 2024-09-09 Göksel Keskin , Olivier Duriez , Pedro Lacerda , Andrea Flack , Máté Nagy

Coexistence of plants depends on their competition for common resources and indirect interactions mediated by shared exploiters or mutualists. These interactions are driven either by changes in animal abundance (density-mediated…

Populations and Evolution · Quantitative Biology 2019-08-12 Vlastimil Křivan , Tomás A. Revilla

We present numerical results based on a simplified ecological system in evolution, showing features of extinction similar to that claimed for the biosystem on Earth. In the model each species consists of a population in interaction with the…

adap-org · Physics 2009-10-28 Guillermo Abramson

In the present work, we explore the influence of habitat complexity on the activities of prey and predator of a spatio-temporal system by incorporating self diffusion. First we modify the Rosenzweig-MacArthur predator-prey model by…

Pattern Formation and Solitons · Physics 2020-10-30 Debaldev Jana , Saikat Batabyal , M. Lakshmanan
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