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In apparent contradiction to competition theory, the number of known, co-existing plankton species far exceeds their explicable biodiversity - a discrepancy termed the Paradox of the Plankton. We introduce a new game-theoretic model for…

Populations and Evolution · Quantitative Biology 2020-12-14 Susanne Menden-Deuer , Julie Rowlett

Interactions among multiple infectious agents are increasingly recognized as a fundamental issue in the understanding of key questions in public health, regarding pathogen emergence, maintenance, and evolution. The full description of…

Populations and Evolution · Quantitative Biology 2013-08-21 Chiara Poletto , Sandro Meloni , Vittoria Colizza , Yamir Moreno , Alessandro Vespignani

We introduce and analyse an individual-based evolutionary model, in which a population of genetically diverse organisms compete with each other for limited resources. Through theoretical analysis and stochastic simulations, we show that the…

Populations and Evolution · Quantitative Biology 2012-11-02 Tim Rogers , Alan J. McKane , Axel G. Rossberg

Phenotypic evolution implies sequential fixations of new genomic sequences. The speed at which these mutations fixate depends, in part, on the relative fitness (selection coefficient) of the mutant vs. the ancestor. Using a simple…

Populations and Evolution · Quantitative Biology 2014-02-04 Sorin Tanase-Nicola , Ilya Nemenman

In this paper, we investigate a Lotka-Volterra competition-diffusion system with self-memory effects and spatial heterogeneity under Dirichlet boundary conditions. We focus on how memory strength influences the coexistence and stability of…

Dynamical Systems · Mathematics 2025-04-22 Shu Li , Binxiang Dai

This paper introduces a stochastic adaptive dynamics model for the interplay of several crucial traits and mechanisms in bacterial evolution, namely dormancy, horizontal gene transfer (HGT), mutation and competition. In particular, it…

Probability · Mathematics 2023-01-27 Jochen Blath , Tobias Paul , András Tóbiás

Innovation and evolution are two processes of paramount relevance for social and biological systems. In general, the former allows to introduce elements of novelty, while the latter is responsible for the motion of a system in its phase…

Physics and Society · Physics 2018-04-11 Marco Antonio Amaral , Marco Alberto Javarone

The characterization of plasticity, robustness, and evolvability, an important issue in biology, is studied in terms of phenotypic fluctuations. By numerically evolving gene regulatory networks, the proportionality between the phenotypic…

Populations and Evolution · Quantitative Biology 2015-06-15 Kunihiko Kaneko

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 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…

Populations and Evolution · Quantitative Biology 2022-04-27 D. Navidad Maeso , M. Patriarca , E. Heinsalu

Standard models of population dynamics focus on the the interaction, survival, and extinction of the competing species individually. Real ecological systems, however, are characterized by an abundance of species (or strategies, in the…

Populations and Evolution · Quantitative Biology 2014-05-27 Alexander Dobrinevski , Mikko Alava , Tobias Reichenbach , Erwin Frey

In this article, we investigate a competitive reaction-diffusion system modelling the interaction between several species of mosquitoes. In particular, it has been observed that in tropical regions, Aedes aegypti mosquitoes are well…

Analysis of PDEs · Mathematics 2024-05-24 Ben Samia , Mohamed Lazhar Tayeb , Nicolas Vauchelet

Environmental variations can significantly influence how populations compete for resources, and hence shape their evolution. Here, we study population dynamics subject to a fluctuating environment modeled by a varying carrying capacity…

Populations and Evolution · Quantitative Biology 2023-04-14 Ami Taitelbaum , Robert West , Mauro Mobilia , Michael Assaf

A population of individuals with the same genes can present heterogeneous traits (phenotypes). The prevalence of this heterogeneity can be explained as a bet-hedging strategy that improves the population proliferation rate (fitness) in…

Populations and Evolution · Quantitative Biology 2025-08-04 Poulami Chatterjee , Cesar Nieto , Juan Manuel Pedraza , Abhyudai Singh

Evolutionary game dynamics describes not only frequency dependent genetical evolution, but also cultural evolution in humans. In this context, successful strategies spread by imitation. It has been shown that the details of strategy update…

Populations and Evolution · Quantitative Biology 2013-10-07 Arne Traulsen , Dirk Semmann , Ralf D. Sommerfeld , Hans-Juergen Krambeck , Manfred Milinski

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…

Populations and Evolution · Quantitative Biology 2023-10-12 Zachary Jackson , BingKan Xue

We propose a stochastic model in evolutionary game theory where individuals (or subpopulations) can mutate changing their strategies randomly (but rarely) and explore the external environment. This environment affects the selective pressure…

Populations and Evolution · Quantitative Biology 2020-01-27 Anna Lisa Amadori , Roberto Natalini , Davide Palmigiani

In order to increase their robustness against environmental fluctuations, many biological populations have developed bet-hedging mechanisms in which the population `bets' against the presence of prolonged favorable environmental conditions…

Populations and Evolution · Quantitative Biology 2017-02-01 Masaki Ogura , Masashi Wakaiki , Victor M. Preciado

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

Species introductions to new habitats can cause a decline in the population size of competing native species and consequently also in their genetic diversity. We are interested in why these adverse effects are weak in some cases whereas in…

Populations and Evolution · Quantitative Biology 2013-01-03 Meike J. Wittmann , Martin Hutzenthaler , Wilfried Gabriel , Dirk Metzler
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