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Within the framework of population genetics we consider the evolution of an asexual haploid population under the effect of a rapidly varying natural selection (microevolution). We focus on the case in which the environment exerting…

Populations and Evolution · Quantitative Biology 2015-06-22 Stefano Bo , Andrea Mazzolini , Antonio Celani

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 consider a stochastic individual-based model of adaptive dynamics for an asexually reproducing population with mutation, with linear birth and death rates, as well as a density-dependent competition. To depict repeating changes of the…

Populations and Evolution · Quantitative Biology 2025-05-28 Manuel Esser , Anna Kraut

We study a spatially explicit harvesting model in periodic or bounded environments. The model is governed by a parabolic equation with a spatially dependent nonlinearity of Kolmogorov--Petrovsky--Piskunov type, and a negative external…

Analysis of PDEs · Mathematics 2010-06-15 Lionel Roques , Mickaël D. Chekroun

The adaptive evolution of large asexual populations is generally characterized by competition between clones carrying different beneficial mutations. This interference phenomenon slows down the adaptation speed and makes the theoretical…

Populations and Evolution · Quantitative Biology 2012-12-20 Maria Rita Fumagalli , Matteo Osella , Philippe Thomen , Francois Heslot , Marco Cosentino Lagomarsino

We propose a simple model for genetic adaptation to a changing environment, describing a fitness landscape characterized by two maxima. One is associated with "specialist" individuals that are adapted to the environment; this maximum moves…

Populations and Evolution · Quantitative Biology 2013-04-24 Andrea Baronchelli , Nick Chater , Morten H. Christiansen , Romualdo Pastor-Satorras

The dynamic nature of life's ability to thrive in diverse and changing planetary environments suggests that habitability and survival depend on the evolutionary path and life adaptation to environmental conditions. Here we explore such…

Earth and Planetary Astrophysics · Physics 2024-07-04 Itay Weintraub , Hagai B. Perets

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

The modelling of evolutionary game dynamics in finite populations requires microscopic processes that determine how strategies spread. The exact details of these processes are often chosen without much further consideration. Different types…

Populations and Evolution · Quantitative Biology 2014-06-17 Bin Wu , Benedikt Bauer , Tobias Galla , Arne Traulsen

Ecologists have long investigated how demographic and movement parameters determine the spatial distribution and critical habitat size of a population. However, most models oversimplify movement behavior, neglecting how landscape…

Populations and Evolution · Quantitative Biology 2024-03-11 Vivian Dornelas , Pablo de Castro , Justin M. Calabrese , William F. Fagan , Ricardo Martinez-Garcia

We propose a model of multispecies populations surviving on distributed resources. System dynamics are investigated under changes in abiotic factors such as the climate, as parameterized through environmental temperature. In particular, we…

Populations and Evolution · Quantitative Biology 2017-10-25 I. Sudakov , S. A. Vakulenko , D. Kirievskaya , K. M. Golden

We explore the complex dynamical behavior of two simple predator-prey models of biological coevolution that on the ecological level account for interspecific and intraspecific competition, as well as adaptive foraging behavior. The…

Populations and Evolution · Quantitative Biology 2009-11-28 Per Arne Rikvold

The evolution of dispersal rate is studied with a model of several local populations linked by dispersal. Three dispersal strategies are considered where all, half, or none of the offspring disperse. The spatial scale (number of patches)…

Populations and Evolution · Quantitative Biology 2019-03-12 Emmanuel Paradis

Organisms and ecological groups accumulate evidence to make decisions. Classic experiments and theoretical studies have explored this process when the correct choice is fixed during each trial. However, we live in a constantly changing…

Neurons and Cognition · Quantitative Biology 2015-10-01 Alan Veliz-Cuba , Zachary P. Kilpatrick , Kresimir Josic

The coupling between evolutionary and ecological changes (eco-evolutionary dynamics) has been shown to be relevant among diverse species, and is also of interest outside of ecology, i.e. in cancer evolution. These dynamics play an important…

Analysis of PDEs · Mathematics 2026-01-21 Manh Hong Duong , Fabian Spill , Blaine van Rensburg

We present an individual-based model for two interacting populations diffusing on lattices in which a strong natural selection develops spontaneously. The models combine traditional local predator-prey dynamics with random walks.…

Populations and Evolution · Quantitative Biology 2007-05-23 Monica F. B. Moreira , Marcio P. Dantas , A. T. Costa

Populations evolving in fluctuating environments face the fundamental challenge of balancing adaptation to current conditions against preparation for uncertain futures. Here, we study microbial evolution in partially predictable…

Populations and Evolution · Quantitative Biology 2025-08-04 Roaa Mohmmed Yagb Omer , Onofrio Mazzarisi , Martina Dal Bello , Jacopo Grilli

Population genetics struggles to model extinction; standard models track the relative rather than absolute fitness of genotypes, while the exceptions describe only the short-term transition from imminent doom to evolutionary rescue. But…

Populations and Evolution · Quantitative Biology 2017-02-20 Jason Bertram , Kevin Gomez , Joanna Masel

A class of models for large-scale evolution and mass extinctions is presented. These models incorporate environmental changes on all scales, from influences on a single species to global effects. This is a step towards a unified picture of…

adap-org · Physics 2007-05-23 C. Wilke , S. Altmeyer , T. Martinetz

As a result of climate change, many populations have to modify their range to follow the suitable areas - their "climate envelope" - often risking extinction. During this migration process, they may face absolute boundaries to dispersal,…

Analysis of PDEs · Mathematics 2009-07-07 Lionel Roques , Alain Roques , Henri Berestycki , André Kretzschmar