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This is the second of two papers dedicated to the relationship between population models of competition and biodiversity. Here we consider species assembly models where the population dynamics is kept far from fixed points through the…

种群与进化 · 定量生物学 2007-05-23 Ugo Bastolla , Michael Lässig , Susanna C. Manrubia , Angelo Valleriani

Microbial ecosystems are remarkably diverse, stable, and often consist of a balanced mixture of core and peripheral species. Here we propose a conceptual model exhibiting all these emergent properties in quantitative agreement with real…

种群与进化 · 定量生物学 2018-04-18 Akshit Goyal , Sergei Maslov

Despite recent molecular technique improvements, biological knowledge remains incomplete. Reasoning on living systems hence implies to integrate heterogeneous and partial informations. Although current investigations successfully focus on…

定量方法 · 定量生物学 2009-09-29 Jérémie Bourdon , Damien Eveillard , Samuel Gabillard , Theo Merle

Evolution has fascinated quantitative and physical scientists for decades: how can the random process of mutation, recombination, and duplication of genetic information generate the diversity of life? What determines the rate of evolution?…

种群与进化 · 定量生物学 2018-04-23 Richard A. Neher , Aleksandra M. Walczak

The role of species interactions in controlling the interplay between the stability of an ecosystem and its biodiversity is still not well understood. The ability of ecological communities to recover after a small perturbation of the…

We study a continuous time Mutually Catalytic Branching model on the $\mathbb{Z}^{d}$. The model describes the behavior of two different populations of particles, performing random walk on the lattice in the presence of branching, that is,…

概率论 · 数学 2026-01-14 Alexandra Jamchi Fugenfirov , Leonid Mytnik

We propose two models of the evolution of a pair of competing populations. Both are lattice based. The first is a compromise between fully spatial models, which do not appear amenable to analytic results, and interacting particle system…

概率论 · 数学 2009-09-29 Jochen Blath , Alison Etheridge , Mark Meredith

The biological requirements for an ecosystem to develop and maintain species diversity are in general unknown. Here we consider a model ecosystem of sessile and mutually excluding organisms competing for space [Mathiesen et al. Phys. Rev.…

种群与进化 · 定量生物学 2012-09-10 Namiko Mitarai , Joachim Mathiesen , Kim Sneppen

The growth, form, and division of prebiotic vesicles, membraneous bags of fluid of varying components and shapes is hypothesized to have served as the substrate for the origin of life. The dynamics of these out-of-equilibrium structures is…

软凝聚态物质 · 物理学 2019-07-24 Teresa Ruiz-Herrero , Thomas G. Fai , L. Mahadevan

How large ecosystems can create and maintain the remarkable biodiversity we see in nature is probably one of the biggest open questions in science, attracting attention from different fields, from Theoretical Ecology to Mathematics and…

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…

种群与进化 · 定量生物学 2012-09-10 Joachim Mathiesen , Namiko Mitarai , Kim Sneppen , Ala Trusina

Information diffusion in online social networks is affected by the underlying network topology, but it also has the power to change it. Online users are constantly creating new links when exposed to new information sources, and in turn…

社会与信息网络 · 计算机科学 2016-04-04 Mehrdad Farajtabar , Yichen Wang , Manuel Gomez Rodriguez , Shuang Li , Hongyuan Zha , Le Song

Life on earth is distinguished by long-lived correlations in time. The patterns of material organization that characterize living organisms today are contingent on events that occurred billions of years ago. This contingency is a necessary…

软凝聚态物质 · 物理学 2021-01-06 Peter M. Tzelios , Kyle J. M. Bishop

We consider a two-type stochastic competition model on the integer lattice Z^d. The model describes the space evolution of two ``species'' competing for territory along their boundaries. Each site of the space may contain only one…

概率论 · 数学 2007-05-23 George Kordzakhia , Steven P. Lalley

Cyclic, nonhierarchical interactions among biological species represent a general mechanism by which ecosystems are able to maintain high levels of biodiversity. However, species coexistence is often possible only in spatially extended…

种群与进化 · 定量生物学 2015-03-17 Daniel Groselj , Frank Jenko , Erwin Frey

We present a two-species population model in a well-mixed environment where the dynamics involves, in addition to birth and death, changes due to environmental factors and inter-species interactions. The novel dynamical components are…

生物物理 · 物理学 2020-09-17 J. J. Dong , J. D. Russo , K. Sampson

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…

种群与进化 · 定量生物学 2025-06-18 Ju Kang , Shijie Zhang , Yiyuan Niu , Xin Wang

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

Mobile genetic elements like conjugative plasmids play a crucial role in shaping the genetic content and population dynamics of bacterial species. Bacterial populations often contain not one, but multiple co-circulating MGEs, which modify…

种群与进化 · 定量生物学 2025-04-25 Berit Siedentop , Jana S. Huisman , Claudia Igler

We introduce the Webworld model, which links together the ecological modelling of food web structure with the evolutionary modelling of speciation and extinction events. The model describes dynamics of ecological communities on an…

adap-org · 物理学 2007-05-23 Guido Caldarelli , Paul G. Higgs , Alan J. McKane