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The dynamics of species' densities depend both on internal and external variables. Internal variables include frequencies of individuals exhibiting different phenotypes or living in different spatial locations. External variables include…

种群与进化 · 定量生物学 2019-03-28 Michel Benaïm , Sebastian J. Schreiber

How diversity is maintained in natural ecosystems is a long-standing question in Theoretical Ecology. By studying a system that combines ecological dynamics, heterogeneous interactions and spatial structure, we uncover a new mechanism for…

种群与进化 · 定量生物学 2024-03-21 Giulia Garcia Lorenzana , Ada Altieri , Giulio Biroli

It is well-known that interactions between species determine the population composition in an ecosystem. Conventional studies have focused on fixed population structures to reveal how interactions shape population compositions. However,…

种群与进化 · 定量生物学 2023-06-28 Youngjai Park , Takashi Shimada , Seung-Woo Son , Hye Jin Park

We propose a modelling framework to analyse the stochastic behaviour of heterogeneous, multi-scale cellular populations. We illustrate our methodology with a particular example in which we study a population with an oxygen-regulated…

生物物理 · 物理学 2017-09-01 Roberto de la Cruz , Pilar Guerrero , Fabian Spill , Tomás Alarcón

I present a stochastic population model that combines cooperative interactions of the type often used in physics with the process of reproduction and death familiar to biology, and I refer to reasons why such interlocking may be of interest…

生物物理 · 物理学 2013-07-23 Ignacio Gallo

Species-rich communities, such as the microbiota or microbial ecosystems, provide key functions for human health and climatic resilience. Increasing effort is being dedicated to design experimental protocols for selecting community-level…

种群与进化 · 定量生物学 2023-06-22 Jules Fraboul , Giulio Biroli , Silvia De Monte

Multi-type birth-death processes underlie approaches for inferring evolutionary dynamics from phylogenetic trees across biological scales, ranging from deep-time species macroevolution to rapid viral evolution and somatic cellular…

概率论 · 数学 2024-04-02 William S. DeWitt , Steven N. Evans , Ella Hiesmayr , Sebastian Hummel

During the last decades macroecology has identified broad-scale patterns of abundances and diversity of microbial communities and put forward some potential explanations for them. However, these advances are not paralleled by a full…

种群与进化 · 定量生物学 2024-01-26 José Camacho-Mateu , Aniello Lampo , Matteo Sireci , Miguel Ángel Muñoz , José A. Cuesta

Stochastic kinetic models are often used to describe complex biological processes. Typically these models are analytically intractable and have unknown parameters which need to be estimated from observed data. Ideally we would have…

统计计算 · 统计学 2018-03-13 Richard J. Boys , Holly F. Ainsworth , Colin S. Gillespie

Stochastic models that incorporate birth, death and immigration (also called birth-death and innovation models) are ubiquitous and applicable to many research topics such as quantifying species sizes in ecological populations, describing…

种群与进化 · 定量生物学 2026-05-12 Renaud Dessalles , Maria D'Orsogna , Tom Chou

We study a model of a multi-species ecosystem described by Lotka-Volterra-like equations. Interactions among species form a network whose evolution is determined by the dynamics of the model. Numerical simulations show power-law…

种群与进化 · 定量生物学 2007-05-23 Francois Coppex , Michel Droz , Adam Lipowski

For years, a main focus of ecological research has been to better understand the complex dynamical interactions between species which comprise food webs. Using the connectance properties of a widely explored synthetic food web called the…

种群与进化 · 定量生物学 2024-10-16 Sepideh Vafaie , Deepak Bal , Michael A. S. Thorne , Eric Forgoston

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

Understanding how stochastic and non-linear deterministic processes interact is a major challenge in population dynamics theory. After a short review, we introduce a stochastic individual-centered particle model to describe the evolution in…

概率论 · 数学 2009-06-29 Regis Ferriere , Viet Chi Tran

Traditional approaches to ecosystem modelling have relied on spatially homogeneous approximations to interaction, growth and death. More recently, spatial interaction and dispersal have also been considered. While these leads to certain…

种群与进化 · 定量生物学 2010-10-07 Thomas Adams \ast , Graeme Ackland , Glenn Marion , Colin Edwards

We study an ecology-inspired model for a population of bounded size, whose dynamics is governed by random birth, death, and immigration events. Stochastic fluctuations in the number of individuals give rise to a succession of alternating…

种群与进化 · 定量生物学 2026-05-27 Lucas M. Brugevin , Damián H. Zanette

Existing theoretical models of evolution focus on the relative fitness advantages of different mutants in a population while the dynamic behavior of the population size is mostly left unconsidered. We here present a generic stochastic model…

种群与进化 · 定量生物学 2010-10-20 Anna Melbinger , Jonas Cremer , Erwin Frey

We analyze purely competitive many-species Lotka-Volterra systems with random interaction matrices, focusing the attention on statistical properties of their asymptotic states. Generic features of the evolution are outlined from a…

adap-org · 物理学 2009-10-30 Guillermo Abramson , Damian Zanette

We investigate a class of models for opinion dynamics in a population with two interacting families of individuals. Each family has an intrinsic mean field "Voter-like" dynamics which is influenced by interaction with the other family. The…

概率论 · 数学 2018-11-16 Michele Aleandri , Ida G. Minelli

Species extinction is a core process that affects the diversity of life on Earth. Competition between species in a population is considered by ecological niche-based theories as a key factor leading to different severity of species…

种群与进化 · 定量生物学 2020-07-28 Ivan Sudakov , Sergey A. Vakulenko , John T. Bruun