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Latent Euclidean embedding models a given network by representing each node in a Euclidean space, where the probability of two nodes sharing an edge is a function of the distances between the nodes. This implies that for two nodes to share…

Social and Information Networks · Computer Science 2019-09-19 Clifford Anderson-Bergman , Phan Nguyen , Jose Cadena Pico

We consider a stochastic individual based model where each predator searches during a random time and then manipulates its prey or rests. The time distributions may be non-exponential. An age structure allows to describe these interactions…

Dynamical Systems · Mathematics 2021-03-31 Vincent Bansaye , Bertand Cloez

Systems of dynamical interactions between competing species can be used to model many complex systems, and can be mathematically described by {\em random} networks. Understanding how patterns of activity arise in such systems is important…

Adaptation and Self-Organizing Systems · Physics 2016-01-21 Nick McCullen , Thomas Wagenknecht

Predator-prey networks originating from different aqueous and terrestrial environments are compared to assess if the difference in environments of these networks produce any significant difference in the structure of such predator-prey…

Populations and Evolution · Quantitative Biology 2019-01-11 Shashankaditya Upadhyay , Sudeepto Bhattacharya

A general Bayesian framework for model selection on random network models regarding their features is considered. The goal is to develop a principle Bayesian model selection approach to compare different fittable, not necessarily nested,…

Methodology · Statistics 2020-04-30 Papamichalis Marios

A general framework for age-structured predator-prey systems is introduced. Individuals are distinguished into two classes, juveniles and adults, and several possible interactions are considered. The initial system of partial differential…

Populations and Evolution · Quantitative Biology 2014-11-13 Marcel Mohr , Maria Vittoria Barbarossa , Christina Kuttler

We study a set of six-species ecological models where each species has two predators and two preys. On a square lattice the time evolution is governed by iterated invasions between the neighboring predator-prey pairs chosen at random and by…

Populations and Evolution · Quantitative Biology 2009-11-10 Gyorgy Szabo

Does the dominant approach to learn representations (as a side effect of optimizing an expected cost for a single training distribution) remain a good approach when we are dealing with multiple distributions? Our thesis is that such…

Machine Learning · Computer Science 2023-08-02 Jianyu Zhang , Léon Bottou

It is a challenge to predict the response of a large, complex system to a perturbation. Recent attempts to predict the behaviour of food webs have revealed that the effort needed to understand a system grows quickly with its complexity,…

Populations and Evolution · Quantitative Biology 2013-11-07 Helge Aufderheide , Lars Rudolf , Thilo Gross , Kevin D. Lafferty

In the last years, predator-prey systems have increased their applications and have given rise to systems which represent more accurately different biological issues that appear in the context of interacting species. Our aim in this paper…

Dynamical Systems · Mathematics 2025-01-29 Érika Diz-Pita , M. Victoria Otero-Espinar

Different network models have been suggested for the topology underlying complex interactions in natural systems. These models are aimed at replicating specific statistical features encountered in real-world networks. However, it is rarely…

Physics and Society · Physics 2012-06-11 Stefano Cardanobile , Volker Pernice , Moritz Deger , Stefan Rotter

Latent position models are widely used for the analysis of networks in a variety of research fields. In fact, these models possess a number of desirable theoretical properties, and are particularly easy to interpret. However, statistical…

Computation · Statistics 2023-03-08 Riccardo Rastelli , Florian Maire , Nial Friel

Random walks have been proposed as a simple method of efficiently searching, or disseminating information throughout, communication and sensor networks. In nature, animals (such as ants) tend to follow correlated random walks, i.e., random…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-02-03 Graeme Smith , J. W. Sanders , Qin Li

A cubic discrete coupled logistic equation is proposed to model the predator-prey problem. The coupling depends on the population size of both species and on a positive constant $\lambda$, which could depend on the prey reproduction rate…

Chaotic Dynamics · Physics 2007-05-23 Ricardo Lopez-Ruiz , Daniele Fournier-Prunaret

Predator-prey relationships are one of the most studied interactions in population ecology. However, little attention has been paid to the possibility of role exchange between species once determined as predators and preys, despite firm…

Populations and Evolution · Quantitative Biology 2014-10-31 Faustino Sánchez-Garduño , Pedro Miramontes , Tatiana T. Marquez-Lago

We present studies for an individual based model of three interacting populations whose individuals are mobile in a 2D-lattice. We focus on the pattern formation in the spatial distributions of the populations. Also relevant is the…

Populations and Evolution · Quantitative Biology 2007-12-18 I. C. Charret , M. V. Carneiro

We study the statistics of ecosystems with a variable number of co-evolving species. The species interact in two ways: by prey-predator relationships and by direct competition with similar kinds. The interaction coefficients change slowly…

Adaptation and Self-Organizing Systems · Physics 2015-06-26 Michael Lassig , Ugo Bastolla , Susanna C. Manrubia , Angelo Valleriani

Cooperation is observed widely in nature and is thought an essential component of many evolutionary processes, yet the mechanisms by which it arises and persists are still unclear. Among several theories, network reciprocity -- a model of…

Computer Science and Game Theory · Computer Science 2016-05-10 Steve Miller , Joshua Knowles

A generic property of biological, social and economical networks is their ability to evolve in time, creating and suppressing interactions. We approach this issue within the framework of an adaptive network of agents playing a Prisoner's…

Adaptation and Self-Organizing Systems · Physics 2014-10-20 Martin G. Zimmermann , Victor M. Eguiluz , Maxi San Miguel

In human conversation an input post is open to multiple potential responses, which is typically regarded as a one-to-many problem. Promising approaches mainly incorporate multiple latent mechanisms to build the one-to-many relationship.…

Computation and Language · Computer Science 2019-06-06 Chaotao Chen , Jinhua Peng , Fan Wang , Jun Xu , Hua Wu
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