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Simulations of the coevolution of many interacting species are performed using the Webworld model. The model has a realistic set of predator-prey equations that describe the population dynamics of the species for any structure of the food…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Christopher Quince , Paul G. Higgs , Alan J. McKane

We present an individual based model of evolutionary ecology. The reproduction rate of individuals characterized by their genome depends on the composition of the population in genotype space. Ecological features such as the taxonomy and…

Statistical Mechanics · Physics 2016-08-31 Matt Hall , Kim Christensen , Simone A. di Collobiano , Henrik Jeldtoft Jensen

In both natural and artificial studies, evolution is often seen as synonymous to natural selection. Individuals evolve under pressures set by environments that are either reset or do not carry over significant changes from previous…

Populations and Evolution · Quantitative Biology 2023-05-17 Eleni Nisioti , Clément Moulin-Frier

We are interested in modelling Darwinian evolution, resulting from the interplay of phenotypic variation and natural selection through ecological interactions. Our models are rooted in the microscopic, stochastic description of a population…

Probability · Mathematics 2016-08-16 Nicolas Champagnat , Régis Ferrière , Sylvie Méléard

The diversity and quality of natural systems have been a puzzle and inspiration for communities studying artificial life. It is now widely admitted that the adaptation mechanisms enabling these properties are largely influenced by the…

Populations and Evolution · Quantitative Biology 2022-07-08 Eleni Nisioti , Clément Moulin-Frier

Predicting the adaptation of populations to a changing environment is crucial to assess the impact of human activities on biodiversity. Many theoretical studies have tackled this issue by modeling the evolution of quantitative traits…

Analysis of PDEs · Mathematics 2022-06-28 Jimmy Garnier , O Cotto , T Bourgeron , E Bouin , T Lepoutre , O Ronce , V Calvez

In nature microbial populations are subject to fluctuating nutrient levels. Nutrient fluctuations are important for evolutionary and ecological dynamics in microbial communities since they impact growth rates, population sizes and biofilm…

Populations and Evolution · Quantitative Biology 2018-09-12 Jason Merritt , Seppe Kuehn

In this work, we provide an asymptotic analysis of the solutions to an elliptic integro-differential equation. This equation describes the evolutionary equilibria of a phenotypically structured population, subject to selection, mutation,…

Analysis of PDEs · Mathematics 2022-01-19 Alexis Léculier , Sepideh Mirrahimi

Traditionally evolution is seen as a process where from a pool of possible variations of a population (e.g. biological species or industrial goods) a few variations get selected which survive and proliferate, whereas the others vanish.…

Populations and Evolution · Quantitative Biology 2008-09-25 Rudolf Hanel , Stefan Thurner

Understanding under what conditions interacting populations, whether they be plants, animals, or viral particles, coexist is a question of theoretical and practical importance in population biology. Both biotic interactions and…

Populations and Evolution · Quantitative Biology 2011-04-26 Sebastian J. Schreiber , Michel Benaïm , Kolawolé A. S. Atchadé

We investigate the long-time behavior of phenotype-structured models describing evolutionary dynamics of asexual populations, and analyze the joint effects of nonlocal interactions and spatial resource distributions on the global dynamics…

Analysis of PDEs · Mathematics 2025-07-15 Shen Bian

The interdependence between an individual strategy decision and the resulting change of environmental state is often a subtle process. Feedback-evolving games have been a prevalent framework for studying such feedback in well-mixed…

Populations and Evolution · Quantitative Biology 2025-03-05 Qiushuang Wang , Xiaojie Chen , Attila Szolnoki

Evolvability is defined as the ability of a population to generate heritable variation to facilitate its adaptation to new environments or selection pressures. In this article, we consider evolvability as a phenotypic trait subject to…

Populations and Evolution · Quantitative Biology 2025-06-03 Juan Jiménez-Sánchez , Carmen Ortega-Sabater , Philip K. Maini , Víctor M. Pérez-García , Tommaso Lorenzi

In the context of multistability driven diseases, like cancer, spatiotemporal plasticity plays a significant role to achieve a spectrum of phenotypic variations. The interplay between gene regulatory networks and environmental factors, such…

Populations and Evolution · Quantitative Biology 2026-02-17 Ranu Kundu , Priya Chakraborty , Sohini Guin , Shyam Sundar Poriah , Sayantari Ghosh

We address a novel approach for stochastic individual-based modelling of a single species population. Individuals are distinguished by their remaining lifetimes, which are regulated by the interplay between the inexorable running of time…

Populations and Evolution · Quantitative Biology 2021-01-08 Luis R. T. Neves , Leonardo Paulo Maia

Clonal microbes can switch between different phenotypes and recent theoretical work has shown that stochastic switching between these subpopulations can stabilize microbial communities. This phenotypic switching need not be stochastic,…

Populations and Evolution · Quantitative Biology 2025-12-12 Pierre A. Haas , Maria A. Gutierrez , Nuno M. Oliveira , Raymond E. Goldstein

Biological evolution can be conceptualized as a search process in the space of gene sequences guided by the fitness landscape, a mapping that assigns a measure of reproductive value to each genotype. Here we discuss probabilistic models of…

Populations and Evolution · Quantitative Biology 2024-04-10 Joachim Krug , Daniel Oros

Understanding how a diversity of plants in agroecosystems affects the adaptation of pathogens in a key issue in agroecology. We analyze PDE systems describing the dynamics of adaptation of two phenotypically structured populations, under…

Analysis of PDEs · Mathematics 2021-03-08 François Hamel , Florian Lavigne , Lionel Roques

We conducted an investigation of the effect that extreme variability of the individual's environment has in the individual's adaptability and, in general, in the co-evolution of a population. First we assume that the individuals are a kind…

Biological Physics · Physics 2008-04-21 Juan G. Diaz Ochoa

It is well-known that population structure is a catalyst for the evolution of cooperation since individuals can reciprocate with their neighbors through local interactions defined by network structures. Previous research typically relies on…

Physics and Society · Physics 2021-12-16 Anzhi Sheng , Aming Li , Long Wang