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Frequency-dependent selection reflects the interaction between different species as they battle for limited resources in their environment. In a stochastic evolutionary game the species relative fitnesses guides the evolutionary dynamics…

概率论 · 数学 2020-12-29 Lea Popovic , Liam Peuckert

Predicting evolution of expanding populations is critical to control biological threats such as invasive species and cancer metastasis. Expansion is primarily driven by reproduction and dispersal, but nature abounds with examples of…

种群与进化 · 定量生物学 2019-04-26 Maxime Deforet , Carlos Carmona-Fontaine , Kirill S. Korolev , Joao B. Xavier

Two species with similar resource requirements respond in a characteristic way to variations in their habitat -- their abundances rise and fall in concert. We use this idea to learn how bacterial populations in the microbiota respond to…

种群与进化 · 定量生物学 2015-10-02 Charles K. Fisher , Thierry Mora , Aleksandra M. Walczak

We study how changes in population size and fluctuating environmental conditions influence the establishment of seed banks in plants. Our model is a modification of the Wright-Fisher model with seed bank, introduced by Kaj, Krone and…

概率论 · 数学 2026-02-05 Alison Etheridge , João Luiz de Oliveira Madeira

In this paper, we wish to investigate the dynamics of information transfer in evolutionary dynamics. We use information theoretic tools to track how much information an evolving population has obtained and managed to retain about different…

种群与进化 · 定量生物学 2021-04-09 Nicholas Guttenberg

We show how highly-diverse ecological communities may display persistent abundance fluctuations, when interacting through resource competition and subjected to migration from a species pool. This turns out to be closely related to the ratio…

统计力学 · 物理学 2020-02-12 Itay Dalmedigos , Guy Bunin

Intraspecific trait variation has been increasingly recognized as an important factor in determining species interaction and diversity. Eco-evolutionary models have studied the distribution of trait values within a population that changes…

种群与进化 · 定量生物学 2023-10-12 Zachary Jackson , BingKan Xue

We study how environmental stochasticity influences the long-term population size in certain one- and two-species models. The difficulty is that even when one can prove that there is persistence, it is usually impossible to say anything…

种群与进化 · 定量生物学 2025-07-15 Alexandru Hening , Siddharth Sabharwal

Highly-diverse ecosystems exhibit a broad distribution of population sizes and species turnover, where species at high and low abundances are exchanged over time. We show that these two features generically emerge in the fluctuating phase…

种群与进化 · 定量生物学 2024-01-09 Thibaut Arnoulx de Pirey , Guy Bunin

Population expansions trigger many biomedical and ecological transitions, from tumor growth to invasions of non-native species. Although population spreading often selects for more invasive phenotypes, we show that this outcome is far from…

种群与进化 · 定量生物学 2015-12-14 Kirill S. Korolev

The spreading of evolutionary novelties across populations is the central element of adaptation. Unless population are well-mixed (like bacteria in a shaken test tube), the spreading dynamics not only depends on fitness differences but also…

种群与进化 · 定量生物学 2015-06-19 Oskar Hallatschek , Daniel S. Fisher

Linyphiid spiders have evolved the ability to disperse long distances by a process known as ballooning. It has been hypothesized that ballooning may allow populations to persist in the highly disturbed agricultural areas that the spiders…

种群与进化 · 定量生物学 2010-01-15 Leah R. Johnson

In subdivided populations, migration acts together with selection and genetic drift and determines their evolution. Building up on a recently proposed method, which hinges on the emergence of a time scale separation between local and global…

种群与进化 · 定量生物学 2015-03-24 Pierangelo Lombardo , Andrea Gambassi , Luca Dall'Asta

We study the evolutionary dynamics of a phenotypically structured population in a changing environment , where the environmental conditions vary with a linear trend but in an oscillatory manner. Such phenomena can be described by parabolic…

偏微分方程分析 · 数学 2021-05-04 Susely Figueroa Iglesias , Sepideh Mirrahimi

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…

种群与进化 · 定量生物学 2011-04-26 Sebastian J. Schreiber , Michel Benaïm , Kolawolé A. S. Atchadé

The role of the selection pressure and mutation amplitude on the behavior of a single-species population evolving on a two-dimensional lattice, in a periodically changing environment, is studied both analytically and numerically. The…

种群与进化 · 定量生物学 2009-11-13 Ioana Bena , Michel Droz , Janusz Szwabinski , Andrzej Pekalski

We study a two-species competition model in a patchy advective environment, where the species are subject to both directional drift and undirectional random dispersal between patches and there are losses of individuals in the downstream end…

动力系统 · 数学 2023-03-22 Shanshan Chen , Junping Shi , Zhisheng Shuai , Yixiang Wu

It has not been known whether preferential dispersal is adaptive in fluctuating environments. We investigate the effect of preferential and random dispersals in bet-hedging systems by using a discrete stochastic metapopulation model, where…

种群与进化 · 定量生物学 2015-11-12 Satoru Morita , Jin Yoshimura

We investigate how initial and boundary conditions influence the competition dynamics and outcome in dispersal-structured populations. The study is carried out through numerical modeling of the heterogeneous Brownian bugs model, in which…

种群与进化 · 定量生物学 2022-04-27 D. Navidad Maeso , M. Patriarca , E. Heinsalu

The evolution of dispersal is a classical question in evolutionary biology, and it has been studied in a wide range of mathematical models. A selection-mutation model, in which the population is structured by space and a phenotypic trait,…

偏微分方程分析 · 数学 2022-05-12 King-Yeung Lam , Yuan Lou , Benoit Perthame