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In an adaptive population which models financial markets and distributed control, we consider how the dynamics depends on the diversity of the agents' initial preferences of strategies. When the diversity decreases, more agents tend to…

Physics and Society · Physics 2008-12-02 H. M. Yang , Y. S. Ting , K. Y. Michael Wong

Humans are increasingly stressing ecosystems via habitat destruction, climate change and global population movements leading to the widespread loss of biodiversity and the disruption of key ecological services. Ecosystems characterized…

Populations and Evolution · Quantitative Biology 2018-11-27 Udit Bhatia , Tarik Gouhier , Auroop Ratan Ganguly

Many species are unsustainable at small population densities (Allee Effect), i.e., below a threshold named Allee threshold, the population decreases instead of growing. In a closed local population, environmental fluctuations always lead to…

Populations and Evolution · Quantitative Biology 2022-01-27 Rodrigo Crespo , Javier Jarillo , Francisco J. Cao-García

We model a spatially detailed, two-sex population dynamics, to study the cost of ecological restoration. We assume that cost is proportional to the number of individuals introduced into a large habitat. We treat dispersal as homogeneous…

Populations and Evolution · Quantitative Biology 2014-03-20 F. Molnar , C. Caragine , T. Caraco , G. Korniss

We demonstrate by mathematical analysis and systematic computer simulations that redistribution can lead to sustainable growth in a society. The human capital dynamics of each agent is described by a stochastic multiplicative process which,…

General Finance · Quantitative Finance 2015-06-11 Jan Lorenz , Fabian Paetzel , Frank Schweitzer

We derive an alternative expression for a delayed logistic equation in which the rate of change in the population involves a growth rate that depends on the population density during an earlier time period. In our formulation, the delay in…

Dynamical Systems · Mathematics 2022-06-07 Chiu-Ju Lin , Ting-Hao Hsu , Gail S. K. Wolkowicz

Eco-evolutionary dynamics, or eco-evolution for short, are thought to involve rapid demography (ecology) and equally rapid phenotypic changes (evolution) leading to novel, emergent system behaviours. This focus on contemporary dynamics is…

Populations and Evolution · Quantitative Biology 2022-10-24 Emanuel A. Fronhofer , Dov Corenblit , Jhelam N. Deshpande , Lynn Govaert , Philippe Huneman , Frédérique Viard , Philippe Jarne , Sara Puijalon

An ecological system with multiple stable equilibria is prone to undergo catastrophic change or regime shift from one steady-state to another. It should be noted that, if one of the steady states is an extinction state, the catastrophic…

Populations and Evolution · Quantitative Biology 2021-08-18 Anurag Sau , Sabyasachi Bhattacharya , Bapi Saha

Resource allocation problems are a family of problems in which resources must be selected to satisfy given demands. This paper focuses on the two-stage stochastic generalization of resource allocation problems where future demands are…

Neural and Evolutionary Computing · Computer Science 2019-03-06 Pedro H. D. B. Hokama , Mário C. San Felice , Evandro C. Bracht , Fábio L. Usberti

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

Overpopulation and environmental degradation due to inadequate resource-use are outcomes of human's ecosystem engineering that has profoundly modified the world's landscape. Despite the age-old concern that unchecked population and economic…

Populations and Evolution · Quantitative Biology 2019-04-26 Guilherme M. Lopes , José F. Fontanari

Habitat destruction threatens the viability of many populations, but its full consequences can take considerable time to unfold. Much of the discourse surrounding extinction debts--the number of species that persist transiently following…

Populations and Evolution · Quantitative Biology 2018-03-28 Katherine Meyer

We consider a trait-structured population subject to mutation, birth and competition of logistic type, where the number of coexisting types may fluctuate. Applying a limit of rare mutations to this population while keeping the population…

Probability · Mathematics 2011-12-05 Nicolas Champagnat , Amaury Lambert

I study a population model in which the reproduction rate lambda is inherited with mutation, favoring fast reproducers in the short term, but conflicting with a process that eliminates agglomerations of individuals. The model is a variant…

Statistical Mechanics · Physics 2021-06-02 Ronald Dickman

This paper aims to study how the population size affects the computation time of evolutionary algorithms in a rigorous way. The computation time of an evolutionary algorithm can be measured by either the expected number of generations…

Neural and Evolutionary Computing · Computer Science 2016-06-15 Jun He , Xin Yao

One of the problems in applying Genetic Algorithm is that there is some situation where the evolutionary process converges too fast to a solution which causes it to be trapped in local optima. To overcome this problem, a proper diversity in…

Neural and Evolutionary Computing · Computer Science 2011-09-02 Chaiwat Jassadapakorn , Prabhas Chongstitvatana

It has long been hypothesized that operating close to the critical state is beneficial for natural, artificial and their evolutionary systems. We put this hypothesis to test in a system of evolving foraging agents controlled by neural…

Neural and Evolutionary Computing · Computer Science 2023-11-28 Sina Khajehabdollahi , Jan Prosi , Emmanouil Giannakakis , Georg Martius , Anna Levina

Diversity is an important factor in evolutionary algorithms to prevent premature convergence towards a single local optimum. In order to maintain diversity throughout the process of evolution, various means exist in literature. We analyze…

Neural and Evolutionary Computing · Computer Science 2018-10-31 Thomas Gabor , Lenz Belzner , Claudia Linnhoff-Popien

While evolutionary algorithms are known to be very successful for a broad range of applications, the algorithm designer is often left with many algorithmic choices, for example, the size of the population, the mutation rates, and the…

Neural and Evolutionary Computing · Computer Science 2015-04-14 Benjamin Doerr , Carola Doerr

The paper is concerned with a family of geometric evolution problems, modeling the spatial control of an invasive population within a region $V\subset \R^2$ bounded by geographical barriers. If no control is applied, the contaminated set…

Optimization and Control · Mathematics 2025-02-11 Alberto Bressan , Elsa M. Marchini , Vasile Staicu