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Stochastic multiplicative dynamics characterize many complex natural phenomena such as selection and mutation in evolving populations, and the generation and distribution of wealth within social systems. Population heterogeneity in…

Physics and Society · Physics 2022-09-21 Jordan T. Kemp , Luís M. A. Bettencourt

The evolutionary balance between innate and learned behaviors is highly intricate, and different organisms have found different solutions to this problem. We hypothesize that the emergence and exact form of learning behaviors is naturally…

Neurons and Cognition · Quantitative Biology 2023-03-14 Emmanouil Giannakakis , Sina Khajehabdollahi , Anna Levina

Artificial life aims to understand the fundamental principles of biological life by creating computational models that exhibit life-like properties. Although artificial life systems show promise for simulating biological evolution,…

Neural and Evolutionary Computing · Computer Science 2025-06-04 Niko Lorantos , Lee Spector

Evolutionary game dynamics in structured populations are strongly affected by updating rules. Previous studies usually focus on imitation-based rules, which rely on payoff information of social peers. Recent behavioral experiments suggest…

Populations and Evolution · Quantitative Biology 2018-10-02 Lei Zhou , Bin Wu , Jinming Du , Long Wang

Artificial intelligence (AI), propelled by advancements in machine learning, has made significant strides in solving complex tasks. However, the current neural network-based paradigm, while effective, is heavily constrained by inherent…

Artificial Intelligence · Computer Science 2025-06-17 Zeki Doruk Erden , Boi Faltings

Real-world optimisation problems are often dynamic. Previously good solutions must be updated or replaced due to changes in objectives and constraints. It is often claimed that evolutionary algorithms are particularly suitable for dynamic…

Neural and Evolutionary Computing · Computer Science 2016-07-13 Duc-Cuong Dang , Thomas Jansen , Per Kristian Lehre

A central question in developmental biology is how size and position are determined. The genetic code carries instructions on how to control these properties in order to regulate the pattern and morphology of structures in the developing…

Cell Behavior · Quantitative Biology 2016-12-05 Krishna Garikipati

Evolution is the process of optimal adaptation of biological populations to their living environments. This is expressed via the concept of fitness, defined as relative reproductive success. However, it has been pointed out that this…

Populations and Evolution · Quantitative Biology 2025-04-17 Luís MA Bettencourt , Brandon J Grandison , Jordan T Kemp

We consider a model for Darwinian evolution in an asexual population with a large but non-constant populations size characterized by a natural birth rate, a logistic death rate modelling competition and a probability of mutation at each…

Probability · Mathematics 2015-08-28 Martina Baar , Anton Bovier , Nicolas Champagnat

Coevolutionary dynamics is investigated in chemical catalysis, biological evolution, social and economic systems. The dynamics of these systems can be analyzed within the unifying framework of evolutionary game theory. In this Letter, we…

Populations and Evolution · Quantitative Biology 2012-06-12 Jens Christian Claussen , Arne Traulsen

This review is an introduction to theoretical models and mathematical calculations for biological evolution, aimed at physicists. The methods in the field are naturally very similar to those used in statistical physics, although the…

Statistical Mechanics · Physics 2015-06-24 Barbara Drossel

Evolutionary game theory has impacted many fields of research by providing a mathematical framework for studying the evolution and maintenance of social and moral behaviors. This success is owed in large part to the demonstration that the…

Physics and Society · Physics 2024-06-03 José F. Fontanari

This chapter is about Complexity and Spatial Dynamics in Urban Systems. Strong inequalities in the size of cities and the apparent difficulty of limiting their growth raise practical issues for spatial planning. At a time when new…

Physics and Society · Physics 2020-10-29 Juste Raimbault , Denise Pumain

The population dynamics and stability of ecosystems of interacting species is studied from the perspective of non-equilibrium thermodynamics by assuming that species, through their biotic and abiotic interactions, are units of entropy…

Biological Physics · Physics 2007-05-23 Karo Michaelian

The determination of a dynamic law of cut is complex and often very difficult to develop. Several formulations were developed, in very complex ways being given that 3 AD crosses from there, the number of variables is much higher than out of…

Classical Physics · Physics 2009-09-29 Constantin Ispas , Claudiu-Florinel Bisu , Alain Gérard , Doru Bardac

Nature is in constant flux, so animals must account for changes in their environment when making decisions. How animals learn the timescale of such changes and adapt their decision strategies accordingly is not well understood. Recent…

Neurons and Cognition · Quantitative Biology 2018-12-24 Zachary P. Kilpatrick , William R. Holmes , Tahra L. Eissa , Krešimir Josić

As Evolutionary Dynamics moves from the realm of theory into application, algorithms are needed to move beyond simple models. Yet few such methods exist in the literature. Ecological and physiological factors are known to be central to…

Populations and Evolution · Quantitative Biology 2025-05-20 Bryce Allen Bagley , Navin Khoshnan , Claudia K Petritsch

Prisoner's dilemma game is the most commonly used model of spatial evolutionary game which is considered as a paradigm to portray competition among selfish individuals. In recent years, Win-Stay-Lose-Learn, a strategy updating rule base on…

Physics and Society · Physics 2021-01-27 Zhenyu Shi , Wei Wei , Xiangnan Feng , Xing Li , Zhiming Zheng

We develop a rigorous theory of external influences on finite discrete dynamical systems, going beyond the perturbation paradigm, in that the external influence need not be a small contribution. Indeed, the covariance condition can be…

Mathematical Physics · Physics 2023-02-09 Carlo Maria Scandolo , Gilad Gour , Barry C. Sanders

Aging is thought to be a consequence of intrinsic breakdowns in how genetic information is processed. But mounting experimental evidence suggests that aging can be slowed. To help resolve this mystery, I derive a mortality equation which…

Populations and Evolution · Quantitative Biology 2022-09-01 Thomas Fink