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Evolutionary branching is analysed in a stochastic, individual-based population model under mutation and selection. In such models, the common assumption is that individual reproduction and life career are characterised by values of a…

Populations and Evolution · Quantitative Biology 2025-10-01 S. Sagitov , B. Mehlig , P. Jagers , V. Vatutin

The population of known minor bodies in retrograde orbits ($i > 90 ^{\circ}$) that are classified as asteroids is still growing. The aim of our study was to estimate the dynamical lifetimes of these bodies by use of the latest observational…

Earth and Planetary Astrophysics · Physics 2017-03-07 Paweł Kankiewicz , Ireneusz Włodarczyk

Selection shapes all kinds of behaviors, including how we make decisions under uncertainty. The risk attitude reflected from it should be simple, flexible, yet consistent. In this paper we engaged evolutionary dynamics to find the decision…

Theoretical Economics · Economics 2022-06-22 Songjia Fan , Yi Tao , Cong Li

The aim of this work is to establish the personal income distribution from the elementary constituents of a free market; products of a representative good and agents forming the economic network. The economy is treated as a self-organized…

General Finance · Quantitative Finance 2015-06-04 Joachim Kaldasch

A simple numerical model which calculates the kinetics of crystallization involving randomly distributed nucleation and isotropic growth is presented. The model can be applied to different thermal histories and no restrictions are imposed…

Materials Science · Physics 2008-11-17 J. Farjas , P. Roura

A simplified model for the growth of a population is studied in which random effects arise because reproducing individuals have a certain probability of surviving until the next breeding season and hence contributing to the next generation.…

Populations and Evolution · Quantitative Biology 2016-04-05 Henry C. Tuckwell

We investigate the evolution of tumor growth relying on a nonlinear model of partial differential equations which incorporates mechanical laws for tissue compression combined with rules for nutrients availability and drug application.…

Numerical Analysis · Mathematics 2016-02-23 Konstantina Trivisa , Franziska Weber

A new model, called "Human Dynamics", has been recently proposed that individuals execute activities based on a perceived priority of tasks, which can be characterized by a power-law distribution of waiting time between consecutive tasks…

Computers and Society · Computer Science 2019-11-05 Jonathan J. H. Zhu , Tai-Quan Peng

We study the probabilistic evolution of a birth and death continuous time measure-valued process with mutations and ecological interactions. The individuals are characterized by (phenotypic) traits that take values in a compact metric…

Probability · Mathematics 2009-04-23 Pierre Collet , Servet Martinez , Sylvie Méléard , Jaime San Martin

Both religion and science start with basic assumptions that cannot be proved but are taken on faith. Here I note that one basic assumption that is rather common in both enterprises is the assumption that in comparing different hypotheses…

Popular Physics · Physics 2008-11-07 Don N. Page

The classical preferential attachment model is sensitive to the choice of the initial configuration of the network. As the number of initial nodes and their degree grow, so does the time needed for an equilibrium degree distribution to be…

Physics and Society · Physics 2013-06-18 Yves Berset , Matus Medo

Recent years have seen a large amount of interest in epidemics on networks as a way of representing the complex structure of contacts capable of spreading infections through the modern human population. The configuration model is a popular…

Populations and Evolution · Quantitative Biology 2017-01-23 Frank Ball , Thomas House

An ab-initio numerical study of the density-dependent, evolutionary stable dispersal strategy is presented. The simulations are based on a simple discretei generation island model with four processes: reproduction, dispersal, competition…

Populations and Evolution · Quantitative Biology 2013-01-09 Shlomit Weisman , Nadav M. Shnerb , David A. Kessler

The complex nature of organizational culture challenges our ability to infers its underlying dynamics from observational studies. Recent computational studies have adopted a distinct different view, where plausible mechanisms are proposed…

Physics and Society · Physics 2018-02-07 Christos Ellinas , Neil Allan , Anders Johansson

This paper examines the process of emergence of religious fundamentalism through development parameters. Therefore this research work reflects an analytical discussion on how the level of religious fundamentalism can be explained by the…

Physics and Society · Physics 2017-11-30 Navonil Bhattacharya , Arabinda Bhattacharya

The energy evolution of a quantum chaotic system under the perturbation that harmonically depends on time is studied for the case of large perturbation, in which the rate of transition calculated from the Fermi golden rule exceeds the…

Chaotic Dynamics · Physics 2009-11-11 P. V. Elyutin

Many important real-world networks manifest "small-world" properties such as scale-free degree distributions, small diameters, and clustering. The most common model of growth for these networks is "preferential attachment", where nodes…

Quantitative Methods · Quantitative Biology 2009-11-13 Samarth Swarup , Les Gasser

The evolution of dispersal is a classical question in evolutionary biology, and it has been studied in a wide range of mathematical models. A selection-mutation model, in which the population is structured by space and a phenotypic trait,…

Analysis of PDEs · Mathematics 2022-05-12 King-Yeung Lam , Yuan Lou , Benoit Perthame

Evolution by Natural Selection is a process by which progeny inherit some properties from their progenitors with small variation. These properties are subject to Natural Selection and are called adaptive traits and carriers of the latter…

Analysis of PDEs · Mathematics 2024-01-29 Gonzalo Galiano , Yosef Cohen

Evolution of the reduced density matrix for a subsystem is studied to determine deviations from its Markov character for a system consisting of a closed chain of $N$ oscillators with one of them serving as a subsystem. The dependence on $N$…

Quantum Physics · Physics 2021-02-04 M. A. Braun