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The distributions of species lifetimes and species in space are related, since species with good local survival chances have more time to colonize new habitats and species inhabiting large areas have higher chances to survive local…

Populations and Evolution · Quantitative Biology 2019-02-18 Tobias Rogge , David Jones , Barbara Drossel , Korinna T. Allhoff

In this paper we present a network model to study the impact of spatial distribution of constituents, coupling between them and diffusive processes in the context of biological situations. The model is in terms of network of mobile elements…

Molecular Networks · Quantitative Biology 2007-05-23 Kanchan Thadani , Ashutosh

Many algorithms have been proposed to predict missing links in a variety of real networks. These studies focus on mainly both accuracy and efficiency of these algorithms. However, little attention is paid to their robustness against either…

Physics and Society · Physics 2013-02-26 Liang Wang , Ke Hu , Yi Tang

The World Trade Web (WTW) is a weighted network whose nodes correspond to countries with edge weights reflecting the value of imports and/or exports between countries. In this paper we introduce to this macroeconomic system the notion of…

General Finance · Quantitative Finance 2015-03-19 N. Foti , S. Pauls , Daniel N. Rockmore

Supply chain resilience analysis aims to identify the critical elements in the supply chain, measure its reliability, and analyze solutions for improving vulnerabilities. While extensive methods like stochastic approaches have been…

Risk Management · Quantitative Finance 2024-05-22 Yaxin Pang , Shenle Pan , Eric Ballot

The concept of robustness of regulatory networks has been closely related to the nature of the interactions among genes, and the capability of pattern maintenance or reproducibility. Defining this robustness property is a challenging task,…

Molecular Networks · Quantitative Biology 2007-10-24 Madalena Chave , Eduardo D. Sontag , Anirvan M. Sengupta

Networks are widely used in the biological, physical, and social sciences as a concise mathematical representation of the topology of systems of interacting components. Understanding the structure of these networks is one of the outstanding…

Data Analysis, Statistics and Probability · Physics 2007-06-21 M. E. J. Newman , E. A. Leicht

A stable population network is hard to interrupt without any ecological consequences. A communication blockage between patches may destabilize the populations in the ecological network. This work deals with the construction of a safe cut…

Dynamical Systems · Mathematics 2018-04-25 Dinesh Kumar , Jatin Gupta , Soumyendu Raha

Random matrix theory successfully connects the structure of interactions of large ecological communities to their ability to respond to perturbations. One of the most debated aspects of this approach is the missing role of population…

Populations and Evolution · Quantitative Biology 2018-09-12 Theo Gibbs , Jacopo Grilli , Tim Rogers , Stefano Allesina

The dynamics of ecosystem collapse are fundamental to determining how and why biological communities change through time, as well as the potential effects of extinctions on ecosystems. Here we integrate depictions of mammals from Egyptian…

Populations and Evolution · Quantitative Biology 2014-09-25 Justin D. Yeakel , Mathias M. Pires , Lars Rudolf , Nathaniel J. Dominy , Paul L. Koch , Paulo R. Guimarães , Thilo Gross

An input-output model for networks with link uncertainty is developed. The main result presents a set of integral quadratic constraints (IQCs) that collectively imply robust stability of the uncertain network dynamics. The model dependency…

Systems and Control · Electrical Eng. & Systems 2025-12-25 Simone Mariano , Chung-Yao Kao , Michael Cantoni

Understanding the assembly of ecosystems to estimate the number of species at different spatial scales is a challenging problem. Until now, maximum entropy approaches have lacked the important feature of considering space in an explicit…

Populations and Evolution · Quantitative Biology 2014-07-10 Matteo Adorisio , Jacopo Grilli , Samir Suweis , Sandro Azaele , Jayanth R. Banavar , Amos Maritan

In this work, water distribution systems are regarded as large sparse planar graphs with complex network characteristics and the relationship between important topological features of the network (i.e. structural robustness and loop…

Physics and Society · Physics 2010-09-23 A. Yazdani , P. Jeffrey

Interconnected ensembles of biological entities are perhaps some of the most complex systems that modern science has encountered so far. In particular, scientists have concentrated on understanding how the complexity of the interacting…

Pattern Formation and Solitons · Physics 2020-11-18 Bram A. Siebert , Cameron L. Hall , James P. Gleeson , Malbor Asllani

The long-term resilient property of ecosystems has been quantified as ecological robustness (RECO) in terms of the energy transfer over food webs. The RECO of resilient ecosystems favors a balance of food webs' network efficiency and…

Systems and Control · Electrical Eng. & Systems 2023-10-03 Hao Huang , Katherine R. Davis , H. Vincent Poor

We investigate global stability and dynamics of large ecological networks by classical methods of the dynamical system theory, including Hamiltonian methods, and averaging. Our analysis exploits the network topological structure, namely,…

Analysis of PDEs · Mathematics 2015-10-05 Vladimir Kozlov , Sergey Vakulenko , Uno Wennergren

Nested structure, which is non-random, controls cooperation dynamics and biodiversity in plant-animal mutualistic networks. This structural pattern has been explained in a static (non-growth) network models. However, evolutionary processes…

Populations and Evolution · Quantitative Biology 2015-03-19 Kazuhiro Takemoto , Masanori Arita

The interactions among the constituent members of a microbial community play a major role in determining the overall behavior of the community and the abundance levels of its members. These interactions can be modeled using a network whose…

Artificial Intelligence · Computer Science 2020-10-20 Sahar Tavakoli

We use food webs generated by a model to investigate the effects of deleting species on other species in the web and on the web as a whole. The model incorporates a realistic population dynamics, adaptive foragers and other features which…

Populations and Evolution · Quantitative Biology 2007-05-23 Christopher Quince , Paul Higgs , Alan McKane

Many real-world networks display a natural bipartite structure. It is necessary and important to study the bipartite networks by using the bipartite structure of the data. Here we propose a modification of the clustering coefficient given…

Physics and Society · Physics 2009-11-13 Peng Zhang , Jinliang Wang , Xiaojia Li , Zengru Di , Ying Fan