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The extinction time of an isolated population can be exponentially reduced by a periodic modulation of its environment. We investigate this effect using, as an example, a stochastic branching-annihilation process with a time-dependent…

Statistical Mechanics · Physics 2014-08-06 Michael Assaf , Alex Kamenev , Baruch Meerson

Design of experiments, random search, initialization of population-based methods, or sampling inside an epoch of an evolutionary algorithm use a sample drawn according to some probability distribution for approximating the location of an…

Neural and Evolutionary Computing · Computer Science 2020-04-27 Laurent Meunier , Carola Doerr , Jeremy Rapin , Olivier Teytaud

In this article, we consider a species whose population density solves the steady diffusive logistic equation in a heterogeneous environment modeled with the help of a spatially non constant coefficient standing for a resources…

Analysis of PDEs · Mathematics 2019-07-30 Idriss Mazari , Grégoire Nadin , Yannick Privat

We consider a population of identical individuals preying on an exhaustible resource. The individuals in the population choose a strategy that defines how they use their available time over the course of their life for feeding, for…

Optimization and Control · Mathematics 2010-06-21 Pierre Bernhard , Frederic Grognard , Ludovic Mailleret , Andrei Akhmetzhanov

This paper presents a procedure to add broader diversity at the beginning of the evolutionary process. It consists of creating two initial populations with different parameter settings, evolving them for a small number of generations,…

Neural and Evolutionary Computing · Computer Science 2024-02-12 Antonio J. Tallón-Ballesteros , César Hervás-Martínez

Evolutionary algorithms, inspired by natural evolution, aim to optimize difficult objective functions without computing derivatives. Here we detail the relationship between population genetics and evolutionary optimization and formulate a…

Populations and Evolution · Quantitative Biology 2023-07-19 Jakub Otwinowski , Colin LaMont

Open-pit mine scheduling is a complex real world optimization problem that involves uncertain economic values and dynamically changing resource capacities. Evolutionary algorithms are particularly effective in these scenarios, as they can…

Neural and Evolutionary Computing · Computer Science 2026-04-16 Ishara Hewa Pathiranage , Aneta Neumann

The environment has a strong influence on a population's evolutionary dynamics. Driven by both intrinsic and external factors, the environment is subject to continual change in nature. To capture an ever-changing environment, we consider a…

Populations and Evolution · Quantitative Biology 2022-02-18 Qi Su , Alex McAvoy , Long Wang , Martin A. Nowak

Environmental variability greatly influences the eco-evolutionary dynamics of a population, i.e. it affects how its size and composition evolve. Here, we study a well-mixed population of finite and fluctuating size whose growth is limited…

Populations and Evolution · Quantitative Biology 2021-10-14 Karl Wienand , Erwin Frey , Mauro Mobilia

The main goal of diversity optimization is to find a diverse set of solutions which satisfy some lower bound on their fitness. Evolutionary algorithms (EAs) are often used for such tasks, since they are naturally designed to optimize…

Neural and Evolutionary Computing · Computer Science 2024-07-15 Denis Antipov , Aneta Neumann , Frank Neumann

In numerous papers, the behaviour of stochastic population models is investigated through the sign of a real quantity which is the growth rate of the population near the extinction set. In many cases, it is proven that when this growth rate…

Probability · Mathematics 2020-01-06 Dang H. Nguyen , Edouard Strickler

Human society and natural environment form a complex giant ecosystem, where human activities not only lead to the change of environmental states, but also react to them. By using collective-risk social dilemma game, some studies have…

Physics and Society · Physics 2024-04-24 Linjie Liu , Xiaojie Chen , Attila Szolnoki

An organism that is newly introduced into an existing population has a survival probability that is dependent on both the population density of its environment and the competition it experiences with the members of that population.…

Populations and Evolution · Quantitative Biology 2024-12-17 Jason M. Gray , Rowan J. Barker-Clarke , Jacob G. Scott , Michael Hinczewski

Frequent emergence of communicable diseases has been a major concern worldwide. Lack of sufficient resources to mitigate the disease-burden makes the situation even more challenging for lower-income countries. Hence, strategy development…

Populations and Evolution · Quantitative Biology 2023-02-03 Biplab Maity , Swarnendu Banerjee , Abhishek Senapati , Joydev Chattopadhyay

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

This paper examines the objective of optimally harvesting a single species in a stochastic environment. This problem has previously been analyzed in Alvarez (2000) using dynamic programming techniques and, due to the natural payoff…

Optimization and Control · Mathematics 2016-08-02 Richard H. Stockbridge , Chao Zhu

Evolutionary optimization is a generic population-based metaheuristic that can be adapted to solve a wide variety of optimization problems and has proven very effective for combinatorial optimization problems. However, the potential of this…

Multiagent Systems · Computer Science 2020-09-03 Saaduddin Mahmud , Moumita Choudhury , Md. Mosaddek Khan , Long Tran-Thanh , Nicholas R. Jennings

It is known that evolution strategies in continuous domains might not converge in the presence of noise. It is also known that, under mild assumptions, and using an increasing number of resamplings, one can mitigate the effect of additive…

Optimization and Control · Mathematics 2014-04-10 Marie-Liesse Cauwet

Is evolution always gradual or can it make leaps? We examine a mathematical model of an evolutionary process on a fitness landscape and obtain analytic solutions for the probability of multi-mutation leaps, that is, several mutations…

Populations and Evolution · Quantitative Biology 2022-10-12 Mikhail I. Katsnelson , Yuri I. Wolf , Eugene V. Koonin

Conventional wisdom suggests that environmental noise drives populations toward extinction. In contrast, we report a paradoxical phenomenon in which stochasticity reverses a deterministic tipping point, thereby preventing collapse. Using a…

Populations and Evolution · Quantitative Biology 2025-07-08 Vinesh Vijayan , B Priyadharshini , R Sathish Kumar , G Janaki