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How do landscape fragmentation affects ecosystems diversity and stability is an important and complex question in ecology with no simple answer, as spatially separated habitats where species live are highly dynamic rather than just static.…

Chaotic Dynamics · Physics 2016-08-17 Ramesh Arumugam , Partha Sharathi Dutta , Tanmoy Banerjee

Understanding species dynamics in heterogeneous environments is essential for ecosystem studies. Traditional models assumed homogeneous habitats, but recent approaches include spatial and temporal variability, highlighting species…

Populations and Evolution · Quantitative Biology 2024-10-25 Wonhyung Choi , Inkyung Ahn

Why, contrary to theoretical predictions, do marine microbe communities harbor tremendous phenotypic heterogeneity? How can so many marine microbe species competing in the same niche coexist? We discovered a unifying explanation for both…

Populations and Evolution · Quantitative Biology 2021-08-06 Susanne Menden-Deuer , Medet Nursultanov , Sinead Collins , Tatiana Rynearson , Julie Rowlett

Stoichiometric constraints play a role in the dynamics of natural populations, but are not explicitly considered in most mathematical models. Recent theoretical works suggest that these constraints can have a significant impact and should…

Populations and Evolution · Quantitative Biology 2010-08-12 Dirk Stiefs , George A. K. van Voorn , Bob W. Kooi , Ulrike Feudel , Thilo Gross

We introduce and analyze a spatial Lotka-Volterra competition model with local and nonlocal interactions. We study two alternative classes of nonlocal competition that differ in how each species' characteristics determine the range of the…

Populations and Evolution · Quantitative Biology 2021-07-14 Gabriel Andreguetto Maciel , Ricardo Martinez-Garcia

McGill's theory of biodiversity is based upon three axioms: individuals of the same species cluster together, many rare species co-exist with a few common ones and individuals of different species grow independently of each other. Over the…

Methodology · Statistics 2020-07-16 M. C. de Jongh , M. N. M. van Lieshout

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…

Populations and Evolution · Quantitative Biology 2011-04-26 Sebastian J. Schreiber , Michel Benaïm , Kolawolé A. S. Atchadé

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 role of dispersal on the stability and synchrony of a metacommunity is a topic of considerable interest in theoretical ecology. Dispersal is known to promote both synchrony, which enhances the likelihood of extinction, and spatial…

Populations and Evolution · Quantitative Biology 2022-04-06 Snehasish Roy Chowdhury , Ramesh Arumugam , Wei Zou , V. K. Chandrasekar , D. V. Senthilkumar

The dynamics leading to extinction or coexistence of competing species is of great interest in ecology and related fields. Recently a model of intra- and interspecific competition between two species was proposed by Gabel et al. [Phys. Rev.…

Populations and Evolution · Quantitative Biology 2015-06-15 Renato Vieira dos Santos , Ronald Dickman

Mutualistic interactions, where individuals from different species can benefit from each other, are widespread across ecosystems. This study develops a general deterministic model of mutualism involving two populations, assuming that…

Populations and Evolution · Quantitative Biology 2026-02-26 Chloë Mian , Sylvain Billiard , Violaine Llaurens , Charline Smadi

Biological and social systems are structured at multiple scales, and the incentives of individuals who interact in a group may diverge from the collective incentive of the group as a whole. Mechanisms to resolve this tension are responsible…

Populations and Evolution · Quantitative Biology 2023-05-31 Daniel B. Cooney , Simon A. Levin , Yoichiro Mori , Joshua B. Plotkin

While the use of spatial agent-based and individual-based models has flourished across many scientific disciplines, the complexities these models generate are often difficult to manage and quantify. This research reduces population-driven,…

Physics and Society · Physics 2021-08-24 John C. Stevenson

Coevolutionary dynamics is investigated in chemical catalysis, biological evolution, social and economic systems. The dynamics of these systems can be analyzed within the unifying framework of evolutionary game theory. In this Letter, we…

Populations and Evolution · Quantitative Biology 2012-06-12 Jens Christian Claussen , Arne Traulsen

Mathematical modelling of the evolution of the size-spectrum dynamics in aquatic ecosystems was discovered to be a powerful tool to have a deeper insight into impacts of human- and environmental driven changes on the marine ecosystem. In…

Analysis of PDEs · Mathematics 2024-01-02 Laura Kanzler , Benoit Perthame , Benoit Sarels

Quantitative predictions about the processes that promote species coexistence are a subject of active research in ecology. In particular, competitive interactions are known to shape and maintain ecological communities, and situations where…

Populations and Evolution · Quantitative Biology 2020-01-22 Jose A. Capitan , Sara Cuenda , David Alonso

Difficulties identifying appropriate biodiversity impact metrics remain a major barrier to inclusion of biodiversity considerations in environmentally responsible investment. We propose and analyse a simple science-based local metric: the…

Populations and Evolution · Quantitative Biology 2023-03-21 Axel G. Rossberg , Jacob D. O'Sullivan , Svetlana Malysheva , Nadav M. Shnerb

Until recently, much of the microbial world was hidden from view. A global research effort has changed this, unveiling and quantifying microbial diversity across enormous range of critically-important contexts, from the human microbiome, to…

Populations and Evolution · Quantitative Biology 2017-10-26 Alice Doucet-Beaupré , James P. O'Dwyer

It is known that the competitive exclusion principle holds for a large kind of models involving several species competing for a single resource in an homogeneous environment. Various works indicate that the coexistence is possible in an…

Analysis of PDEs · Mathematics 2014-07-22 François Castella , Sten Madec , Yvan Lagadeuc

Rare evolutionary events, such as the rise to prominence of deleterious mutations, can have drastic impacts on the evolution of growing populations. Heterogeneous environments may reduce the influence of selection on evolutionary outcomes…

Populations and Evolution · Quantitative Biology 2024-10-10 Jimmy Gonzalez Nuñez , Daniel A. Beller