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Explaining biodiversity is a fundamental issue in ecology. A long-standing puzzle lies in the paradox of the plankton: many species of plankton feeding on a limited variety of resources coexist, apparently flouting the competitive exclusion…

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

Coexistence of individuals with different species or phenotypes is often found in nature in spite of competition between them. Stable coexistence of multiple types of individuals have implications for maintenance of ecological biodiversity…

Disordered Systems and Neural Networks · Physics 2007-05-23 Naoki Masuda , Norio Konno

We explore aspects of the community structures generated by a simple predator-prey model of biological coevolution, using large-scale kinetic Monte Carlo simulations. The model accounts for interspecies and intraspecies competition for…

Populations and Evolution · Quantitative Biology 2010-02-18 Per Arne Rikvold

In a diverse population, where many species are present, competitors can fight for surviving at individual and collective levels. In particular, species, which would beat each other individually, may form a specific alliance that ensures…

Populations and Evolution · Quantitative Biology 2023-01-03 Junpyo Park , Xiaojie Chen , Attila Szolnoki

In many natural situations one observes a local system with many competing species which is coupled by weak immigration to a regional species pool. The dynamics of such a system is dominated by its stable and uninvadable (SU) states. When…

Populations and Evolution · Quantitative Biology 2017-07-26 Yael Fried , Nadav M. Shnerb , David A. Kessler

In social networks, it is conventionally thought that two individuals with more overlapped friends tend to establish a new friendship, which could be stated as homophily breeding new connections. While the recent hypothesis of maximum…

Social and Information Networks · Computer Science 2016-02-17 Jichang Zhao , Xiao Liang , Ke Xu

Species interactions through cross-feeding via leakage and uptake of chemicals are important in microbial communities, and play an essential role in the coexistence of diverse species. Here, we study a simple dynamical model of a microbial…

Biological Physics · Physics 2026-02-02 Takashi Shimada , Kunihiko Kaneko

Previous work has shown that species interacting in an ecosystem and actors transacting in an economic context may have notable similarities in behavior. However, the specific mechanism that may underlie similarities in nature and human…

Physics and Society · Physics 2011-10-04 Serguei Saavedra , Felix Reed-Tsochas , Brian Uzzi

Explaining how competing species coexist remains a central question in ecology. The well-known competitive exclusion principle (CEP) states that two species competing for the same resource cannot stably coexist, and more generally, that the…

Biological Physics · Physics 2026-01-01 Wei Tao , Ju Kang , Wenxiu Yang , Yiyuan Niu , Xin Wang

In complex ecological communities, species may self-organize into clusters or clumps where highly similar species can coexist. The emergence of such species clusters can be captured by the interplay between neutral and niche theories. Based…

Statistical Mechanics · Physics 2026-04-16 Shing Yan Li , Mehran Kardar , Zhijie Feng , Washington Taylor

Reaction-diffusion systems with a Lotka-Volterra-type reaction term, also known as competition-diffusion systems, have been used to investigate the dynamics of the competition among $m$ ecological species for a limited resource necessary to…

Populations and Evolution · Quantitative Biology 2018-11-01 Lorenzo Contento , Danielle Hilhorst , Masayasu Mimura

Quantifying population dynamics is a fundamental challenge in ecology and evolutionary biology, particularly for species that are cryptic, microscopic, or extinct. Traditional approaches rely on continuous representations of population…

Populations and Evolution · Quantitative Biology 2025-02-18 Justin D. Yeakel

Ecological systems comprise an astonishing diversity of species that cooperate or compete with each other forming complex mutual dependencies. The minimum requirements to maintain a large species diversity on long time scales are in general…

Populations and Evolution · Quantitative Biology 2012-09-10 Joachim Mathiesen , Namiko Mitarai , Kim Sneppen , Ala Trusina

In its simplest form, the competitive exclusion principle states that a number of species competing for a smaller number of resources cannot coexist. However, it has been observed empirically that in some settings it is possible to have…

Populations and Evolution · Quantitative Biology 2021-02-18 Alexandru Hening , Dang H. Nguyen

Species coexistence is a complex, multifaceted problem. At an equilibrium, coexistence requires two conditions: stability under small perturbations; and feasibility, meaning all species abundances are positive. Which of these two conditions…

Populations and Evolution · Quantitative Biology 2024-05-21 Stav Marcus , Ari M. Turner , Guy Bunin

Understanding the mechanisms of species coexistence has always been a fundamental topic in ecology. Classical theory predicts that interspecific competition may select for traits that stabilize niche differences, although recent work shows…

Populations and Evolution · Quantitative Biology 2023-05-16 José F. Fontanari , Margarida Matos , Mauro Santos

Ecological communities are composed of species interactions that respond to environmental fluctuations. Despite increasing evidence of temporal variation in these interactions, most theoretical frameworks remain rooted in static…

Preserving biodiversity and ecosystem stability is a challenge that can be pursued through modern statistical mechanics modeling. Here we introduce a variational maximum entropy-based algorithm to evaluate the entropy in a minimal ecosystem…

Biological Physics · Physics 2018-10-17 Mattia Miotto , Lorenzo Monacelli

The structure of ecological networks, in particular food webs, determines their ability to evolve further, i.e. evolvability. The knowledge about how food web evolvability is determined by the structures of diverse ecological networks can…

Populations and Evolution · Quantitative Biology 2015-07-13 Jianxi Luo

Explaining coexistence in species-rich communities of primary producers remains a challenge for ecologists because of their likely competition for shared resources. Following Hutchinson's seminal suggestion, many theoreticians have tried to…

Populations and Evolution · Quantitative Biology 2019-04-25 Coralie Picoche , Frederic Barraquand
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