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The network of interactions in complex systems, strongly influences their resilience, the system capability to resist to external perturbations or structural damages and to promptly recover thereafter. The phenomenon manifests itself in…

物理与社会 · 物理学 2018-04-11 Malbor Asllani , Timoteo Carletti

Spatial ecological networks are widely used to model interactions between georeferenced biological entities (e.g., populations or communities). The analysis of such data often leads to a two-step approach where groups containing similar…

应用统计 · 统计学 2014-02-24 Vincent Miele , Franck Picard , Stéphane Dray

Recently much attention has been paid to the study of the robustness of interdependent and multiplex networks and, in particular, networks of networks. The robustness of interdependent networks can be evaluated by the size of a mutually…

统计力学 · 物理学 2015-06-18 Ginestra Bianconi , Sergey N. Dorogovtsev

Robustness to genetic or environmental disturbances is often considered as a key property of living systems. Yet, in spite of being discussed since the 1950s, how robustness emerges from the complexity of genetic architectures and how it…

种群与进化 · 定量生物学 2022-03-31 Arnaud Le Rouzic

The robustness of multipartite entanglement of systems undergoing decoherence is of central importance to the area of quantum information. Its characterization depends however on the measure used to quantify entanglement and on how one…

量子物理 · 物理学 2015-05-20 Rafael Chaves , Luiz Davidovich

Spatial structure and species interactions jointly shape the dynamics and biodiversity of ecological systems, yet most theoretical models either neglect spatial heterogeneity or sacrifice analytical tractability. Here, we provide a unified…

We study the biodiversity problem for resource competition systems with extinctions and self-limitation effects. Our main result establishes estimates of biodiversity in terms of the fundamental parameters of the model. We also prove the…

动力系统 · 数学 2018-09-12 Vladimir Kozlov , Sergey Vakulenko , Uno Wennergren , Vladimir G. Tkachev

Bipartite networks provide an insightful representation of many systems, ranging from mutualistic networks of species interactions to investment networks in finance. The analysis of their topological structures has revealed the ubiquitous…

物理与社会 · 物理学 2018-07-20 Mika J. Straka , Guido Caldarelli , Tiziano Squartini , Fabio Saracco

The significant role of space in maintaining species coexistence and determining community structure and function is well established. However, community ecology studies have mainly focused on simple competition and predation systems, and…

种群与进化 · 定量生物学 2010-08-09 Elise Filotas , Martin Grant , Lael Parrott , Per Arne Rikvold

From transportation networks to complex infrastructures, and to social and economic networks, a large variety of systems can be described in terms of multiplex networks formed by a set of nodes interacting through different network layers.…

社会与信息网络 · 计算机科学 2015-09-15 Dawei Zhao , Lianhai Wang , Zhen Wang

Understanding the structural complexity and predictability of complex networks is a central challenge in network science. Although recent studies have revealed a relationship between compression-based entropy and link prediction…

社会与信息网络 · 计算机科学 2025-10-14 Sebastián Brzovic , Cristóbal Rojas , Andrés Abeliuk

Networks are useful descriptions of the structure of many complex systems. Unsurprisingly, it is thus important to analyze the robustness of networks in many scientific disciplines. In applications in communication, logistics, finance,…

物理与社会 · 物理学 2024-09-16 Alice C. Schwarze , Jessica Jiang , Jonny Wray , Mason A. Porter

The consensus that complexity begets stability in ecosystems was challenged in the seventies, a result recently extended to ecologically-inspired networks. The approaches assume the existence of a feasible equilibrium, i.e. with positive…

种群与进化 · 定量生物学 2016-12-21 Michael Dougoud , Laura Vinckenbosch , Rudolf Rohr , Louis-Félix Bersier , Christian Mazza

We study the robustness of complex networks subject to edge removal. Several network models and removing strategies are simulated. Rather than the existence of the giant component, we use total connectedness as the criterion of breakdown.…

物理与社会 · 物理学 2009-11-13 Shan He , Sheng Li , Hongru Ma

On a global level, ecological communities are being perturbed at an unprecedented rate by human activities and environmental instabilities. Yet, we understand little about what factors facilitate or impede long-term persistence of these…

种群与进化 · 定量生物学 2024-10-24 Johannes Nauta , Manlio De Domenico

We discuss the relevance of studying ecology within the framework of Complexity Science from a statistical mechanics approach. Ecology is concerned with understanding how systems level properties emerge out of the multitude of interactions…

种群与进化 · 定量生物学 2007-09-14 Henrik Jeldtoft Jensen , Elsa Arcaute

An ecological network is a formal representation of a specific type of interaction in a corresponding ecosystem. Such networks have traditionally been modelled as encoding exclusively pairwise interactions among the fundamental units of…

Mutualistic interactions, where species interact to obtain mutual benefits, constitute an essential component of natural ecosystems. The use of ecological networks to represent the species and their ecological interactions allows the study…

种群与进化 · 定量生物学 2023-11-28 Clàudia Payrató-Borràs , Carlos Gracia-Lázaro , Laura Hernández , Yamir Moreno

We study the phenomenon of multistability in mutualistic networks of plants and pollinators, where one desired state in which all species coexist competes with multiple states in which some species are gone extinct. In this setting, we…

适应与自组织系统 · 物理学 2025-07-09 Lukas Halekotte , Anna Vanselow , Ulrike Feudel

A key element to understand complex systems is the relationship between the spatial scale of investigation and the structure of the interrelation among its elements. When it comes to economic systems, it is now well-known that the…

物理与社会 · 物理学 2022-02-07 Dario Laudati , Manuel S. Mariani , Luciano Pietronero , Andrea Zaccaria