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We develop a mathematical framework to study the economic impact of infectious diseases by integrating epidemiological dynamics with a kinetic model of wealth exchange. The multi-agent description leads to study the evolution over time of a…

Physics and Society · Physics 2020-08-12 G. Dimarco , L. Pareschi , G. Toscani , M. Zanella

A model for the evolution of a finite population in a rugged fitness landscape is introduced and solved. The population is trapped in an evolutionary loop, alternating periods of stasis to periods in which it performs adaptive walks. The…

Disordered Systems and Neural Networks · Physics 2009-10-31 Luca Peliti

We analyze the household savings problem in a general setting where returns on assets, non-financial income and impatience are all state dependent and fluctuate over time. All three processes can be serially correlated and mutually…

Theoretical Economics · Economics 2020-08-07 Qingyin Ma , John Stachurski , Alexis Akira Toda

Great apes, the other living members of our hominid family, become decrepit before the age of forty and rarely outlive their fertile years. In contrast, women - even in high mortality hunter-gatherer populations - usually remain healthy and…

Populations and Evolution · Quantitative Biology 2019-07-01 Peter S. Kim , John S. McQueen , Kristen Hawkes

Measures of wealth and production have been found to scale superlinearly with the population of a city. Therefore, it makes economic sense for humans to congregate together in dense settlements. A recent model of population dynamics showed…

Physics and Society · Physics 2016-12-28 James PL Tan

A probability model is presented for the dynamics of mutation-selection balance in a haploid infinite-population infinite-sites setting sufficiently general to cover mutation-driven changes in full age-specific demographic schedules. The…

Populations and Evolution · Quantitative Biology 2007-05-23 David Steinsaltz , Steven N. Evans , Kenneth W. Wachter

How fast does a population evolve from one fitness peak to another? We study the dynamics of evolving, asexually reproducing populations in which a certain number of mutations jointly confer a fitness advantage. We consider the time until a…

Populations and Evolution · Quantitative Biology 2010-03-31 Chaitanya S. Gokhale , Yoh Iwasa , Martin A. Nowak , Arne Traulsen

Bacterial populations in natural conditions are expected to experience stochastic environmental fluctuations, and in addition, environments are affected by bacterial activities since they consume substrates and excrete various chemicals. We…

Populations and Evolution · Quantitative Biology 2020-04-01 Yusuke Himeoka , Namiko Mitarai

We explore the consequences of incomplete information in the stable marriage problem. When information capacity of the participants is increased, more favorable games are created and the quality of the matches are also better. The simple…

Statistical Mechanics · Physics 2009-11-07 Yi-Cheng Zhang

We analyse the effect of harvesting in a resource dependent age structured population model, deriving the conditions for the existence of a stable steady state as a function of fertility coefficients, harvesting mortality and carrying…

Populations and Evolution · Quantitative Biology 2007-05-23 Rui Dilao , Tiago Domingos , Elman M. Shahverdiev

Short-term survival and an exuberant plunge into building our future are generating a new kind of unintended consequence -- hidden fragility. This is a direct effect of the sophistication and structural complexity of the socio-technical…

Physics and Society · Physics 2020-03-26 James P. Crutchfield

In order to understand the phenomenon of longevity in biological world, the relationship between the potential of longevity and the structural complexity of an organism is analyzed. I. The potential of longevity is the maximum lifespan of…

Tissues and Organs · Quantitative Biology 2018-05-28 Jicun Wang-Michelitsch , Thomas M Michelitsch

In order to describe the properties of the observed distribution of wealth in a population, most economic models rely on the existence of an asymptotic equilibrium state. In addition, the process generating the equilibrium distribution is…

Statistical Mechanics · Physics 2024-02-16 Valerio Astuti

We describe the simulation method of modelling the population evolution using Monte Carlo based on the Penna model. Individuals in the populations are represented by their diploid genomes. Genes expressed after the minimum reproduction age…

Genomics · Quantitative Biology 2009-01-13 Agnieszka Laszkiewicz , Przemyslaw Biecek , Katarzyna Bonkowska , Stanislaw Cebrat

The prevalence of sexual reproduction ("sex") in eukaryotes is an enigma of evolutionary biology. Sex increases genetic variation only tells its long-term superiority in essence. The accumulation of harmful mutations causes an immediate and…

Populations and Evolution · Quantitative Biology 2013-08-01 Xiang-Ping Jia , Hong Sun

Optimization and expansion are two modes of staged evolution of complex systems where macroscopic observables change at a decreasing, respectively increasing, rate. A prime example of evolutionary expansion, Gross Domestic Product (GDP)…

Physics and Society · Physics 2022-11-30 Paolo Sibani , Steen Rasmussen , Per Lyngs Hansen

A simple evolutionary model for biological ageing is modified such that it requires a minimum population for survival, like in human society. This social effect leads to a transition between extinction and survival of the species.

Statistical Mechanics · Physics 2007-05-23 Dietrich Stauffer , Jan P. Radomski

Understanding the statistical dynamics of growth and inequality is a fundamental challenge to ecology and society. Recent analyses of wealth and income dynamics in contemporary societies show that economic inequality is very dynamic and…

Physics and Society · Physics 2022-10-19 Jordan T. Kemp , Luis M. A. Bettencourt

I present a simple numerical model based on iteratively updating subgroups of a population, individually modeled by nonnegative real numbers, by a constant decay factor; however, at each iteration, one group is selected to instead be…

Populations and Evolution · Quantitative Biology 2015-09-10 Bryan A. Knowles

Neutral models for the dynamics of a system of competing species are used, nowadays, to describe a wide variety of empirical communities. These models are used in many situations, ranging from population genetics and ecological biodiversity…

Populations and Evolution · Quantitative Biology 2015-10-28 Matan Danino , Nadav M. Shnerb
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