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Evolutionary and ecosystem dynamics are often treated as different processes --operating at separate timescales-- even if evidence reveals that rapid evolutionary changes can feed back into ecological interactions. A recent long-term field…

Populations and Evolution · Quantitative Biology 2018-10-04 Paula Villa Martín , Jorge Hidalgo , Rafael Rubio de Casas , Miguel A. Muñoz

We describe a continuous-time modelling framework for biological population dynamics that accounts for demographic noise. In the spirit of the methodology used by statistical physicists, transitions between the states of the system are…

Populations and Evolution · Quantitative Biology 2018-07-19 George W. A. Constable , Alan J. McKane

This article is a presentation of specific recent results describing scaling limits of individual-based models. Thanks to them, we wish to relate the time-scales typical of demographic dynamics and natural selection to the parameters of the…

Probability · Mathematics 2023-08-01 Aurélien Velleret

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…

Statistical Mechanics · Physics 2020-02-12 Itay Dalmedigos , Guy Bunin

The ecological principle of limiting similarity dictates that species similar in resource requirements will compete, with the superior eventually excluding the inferior competitor from the community. The observation that nonetheless…

Populations and Evolution · Quantitative Biology 2010-08-17 Colleen K. Kelly , Michael G. Bowler , Jeffrey B. Joy , John N. Williams

The extinction of species is a core process that affects the diversity of life on Earth. One way of investigating the causes and consequences of extinctions is to build conceptual ecological models, and to use the dynamical outcomes of such…

Populations and Evolution · Quantitative Biology 2017-11-28 Sergey A. Vakulenko , Ivan Sudakov , Luke Mander

Community assembly is studied using individual-based multispecies models. The models have stochastic population dynamics with mutation, migration, and extinction of species. Mutants appear as a result of mutation of the resident species,…

Populations and Evolution · Quantitative Biology 2010-05-18 Yohsuke Murase , Takashi Shimada , Nobuyasu Ito , Per Arne Rikvold

Ecological resilience refers to the ability of a system to retain its state when subject to state variables perturbations or parameter changes. While understanding and quantifying resilience is crucial to anticipate the possible regime…

Dynamical Systems · Mathematics 2019-05-10 Artur César Fassoni , Denis de Carvalho Braga

The temporal dynamics of social interactions were shown to influence the spread of disease. Here, we model the conditions of progression and competition for several viral strains, exploring various levels of cross-immunity over temporal…

Physics and Society · Physics 2022-06-14 Alex Abbey , Yuval Shahar , Osnat Mokryn

Environment plays a fundamental role in the competition for resources, and hence in the evolution of populations. Here, we study a well-mixed, finite population consisting of two strains competing for the limited resources provided by an…

Populations and Evolution · Quantitative Biology 2017-10-16 Karl Wienand , Erwin Frey , Mauro Mobilia

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

Dormancy is a widespread adaptive strategy that enables populations to persist in fluctuating environments, yet how its benefits depend on the temporal structure of environmental variability remains unclear. We examine how dormancy…

Populations and Evolution · Quantitative Biology 2025-12-08 Jorge Hidalgo , Lorenzo Fant , Rafael Rubio de Casas , Miguel A. Muñoz

Population dynamics of a competitive two-species system under the influence of random events are analyzed and expressions for the steady-state population mean, fluctuations, and cross-correlation of the two species are presented. It is…

Populations and Evolution · Quantitative Biology 2020-02-19 M. M. Tehrani , S. Soltanieh

Ecologists have put forward many explanations for coexistence, but these are only partial explanations; nature is complex, so it is reasonable to assume that in any given ecological community, multiple mechanisms of coexistence are…

Populations and Evolution · Quantitative Biology 2022-01-21 Evan Johnson , Alan Hastings

We live in a time where climate models predict future increases in environmental variability and biological invasions are becoming increasingly frequent. A key to developing effective responses to biological invasions in increasingly…

Populations and Evolution · Quantitative Biology 2015-12-16 Sebastian J. Schreiber , Maureen E. Ryan

What determines biodiversity in nature is a prominent issue in ecology, especially in biotic resource systems that are typically devoid of cross-feeding. Here, we show that by incorporating pairwise encounters among consumer individuals…

Populations and Evolution · Quantitative Biology 2025-06-18 Ju Kang , Shijie Zhang , Yiyuan Niu , Xin Wang

We investigate the formation of stable ecological networks where many species share the same resource. We show that such stable ecosystem naturally occurs as a result of extinctions. We obtain an analytical relation for the number of…

Populations and Evolution · Quantitative Biology 2017-04-05 V. Kozlov , S. Vakulenko , U. Wennergren

This article is dedicated to the study and comparison of two chemostat-like competition models in a heterogeneous environment. The first model is a probabilistic model where we build a PDMP simulating the effect of the temporal…

Dynamical Systems · Mathematics 2018-06-29 Sten Madec , G Lagasquie

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

We analyze how temporal variability in local demography and dispersal combine to affect the rate of spread of an invading species. Our model combines state-structured local demography (specified by an integral or matrix projection model)…

Populations and Evolution · Quantitative Biology 2012-04-09 Stephen P. Ellner , Sebastian J. Schreiber
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