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Related papers: Opinion dynamics with Lotka-Volterra type interact…

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In this paper we discuss opinion dynamics in the Opinion Changing Rate (OCR) model, recently proposed (A.Pluchino, V.Latora and A.Rapisarda Int. J. Mod. Phys. C, 16, No.4, 515-531 (2005)). The OCR model allows to study whether and how a…

Physics and Society · Physics 2009-11-13 Alessandro Pluchino , Stefano Boccaletti , Vito Latora , Andrea Rapisarda

Information diffusion on social networks has been described as a collective outcome of threshold behaviors in the framework of threshold models. However, since the existing models do not take into account individuals' optimization problem,…

Physics and Society · Physics 2022-09-08 Teruyoshi Kobayashi

The rise of digital social media has strengthened the coevolution of public opinions and social interactions, that shape social structures and collective outcomes in increasingly complex ways. Existing literature often explores this…

Physics and Society · Physics 2024-09-20 Nataša Djurdjevac Conrad , Nhu Quang Vu , Sören Nagel

Spontaneous formation of transverse patterns is ubiquitous in nonlinear dynamical systems of all kinds. An aspect of particular interest is the active control of such patterns. In nonlinear optical systems this can be used for all-optical…

Other Condensed Matter · Physics 2021-01-15 Matthias Pukrop , Stefan Schumacher

We study the evolutionary dynamics of a phenotypically structured population in a changing environment , where the environmental conditions vary with a linear trend but in an oscillatory manner. Such phenomena can be described by parabolic…

Analysis of PDEs · Mathematics 2021-05-04 Susely Figueroa Iglesias , Sepideh Mirrahimi

We introduce a model of negotiation dynamics whose aim is that of mimicking the mechanisms leading to opinion and convention formation in a population of individuals. The negotiation process, as opposed to ``herding-like'' or ``bounded…

Statistical Mechanics · Physics 2007-11-06 A. Baronchelli , L. Dall'Asta , A. Barrat , V. Loreto

We study opinion dynamics on networks with a nontrivial community structure, assuming individuals can update their binary opinion as the result of the interactions with an external influence with strength $h\in [0,1]$ and with other…

Probability · Mathematics 2023-06-14 Simone Baldassarri , Anna Gallo , Vanessa Jacquier , Alessandro Zocca

In modern democracies, the outcome of elections and referendums is often remarkably tight. The repetition of these divisive events are the hallmark of a split society; to the physicist, however, it is an astonishing feat for such large…

Statistical Mechanics · Physics 2024-02-20 Olivier Devauchelle , Piotr Szymczak , Piotr Nowakowski

We present an extensive study of the joint effects of heterogeneous social agents and their heterogeneous social links in a bounded confidence opinion dynamics model. The full phase diagram of the model is explored for two different…

Physics and Society · Physics 2023-01-24 Rémi Perrier , Hendrik Schawe , Laura Hernández

We investigate the Lotka-Volterra model for predator-prey competition with a finite carrying capacity that varies periodically in time, modeling seasonal variations in nutrients or food resources. In the absence of time variability, the…

Pattern Formation and Solitons · Physics 2026-05-05 Mohamed Swailem , Alastair M. Rucklidge

We introduce a general contagion-like model for competing opinions that includes dynamic resistance to alternative opinions. We show that this model can describe candidate vote distributions, spatial vote correlations, and a slow approach…

Physics and Society · Physics 2016-03-08 Keith A. Burghardt , William Rand , Michelle Girvan

We consider a general class of three--state models where individuals hold one of two opposite opinions, or are neutral, and exchange opinions in generic pairwise interactions. We show that when opinions spread in a population where a…

Physics and Society · Physics 2016-03-09 Francesca Colaiori , Claudio Castellano

The formation of opinions in a large population is governed by endogenous (human interactions) and exogenous (media influence) factors. In the analysis of opinion evolution in a large population, decision making rules can be approximated…

Dynamical Systems · Mathematics 2012-05-08 Anahita Mirtabatabaei , Peng Jia , Francesco Bullo

Recently, a model of opinion formation with kinetic exchanges has been proposed in which a spontaneous symmetry breaking transition was reported [M. Lallouache et al, Phys. Rev. E, {\bf 82} 056112 (2010)]. We generalise the model to…

Physics and Society · Physics 2013-05-29 Parongama Sen

Inspired by the work of [Kempe, Kleinberg, Oren, Slivkins, EC13] we introduce and analyze a model on opinion formation; the update rule of our dynamics is a simplified version of that of Kempe et. al. We assume that the population is…

Social and Information Networks · Computer Science 2017-04-28 Tung Mai , Ioannis Panageas , Vijay V. Vazirani

We consider a model for a population in a heterogeneous environment, with logistic type local population dynamics, under the assumption that individuals can switch between two different nonzero rates of diffusion. Such switching behavior…

Analysis of PDEs · Mathematics 2020-01-14 Robert Stephen Cantrell , Chris Cosner , Xiao Yu

Seasonality frequently occurs in population models, and the corresponding seasonal patterns have been of great interest to scientists. This paper is concerned with traveling waves to a time-periodic bistable Lotka-Volterra competition…

Analysis of PDEs · Mathematics 2022-10-18 Manjun Ma , Wentao Meng , Chunhua Ou , Jiajun Yue

We introduce and discuss certain kinetic models of (continuous) opinion formation involving both exchange of opinion between individual agents and diffusion of information. We show conditions which ensure that the kinetic model reaches non…

Mathematical Physics · Physics 2007-05-23 G. Toscani

We introduce and analyze a model for the transport of particles or energy in extended lattice systems. The dynamics of the model acts on a discrete phase space at discrete times but has nonetheless some of the characteristic properties of…

Mathematical Physics · Physics 2015-06-12 Raphael Lefevere

Usually, opinion formation models assume that individuals have an opinion about a given topic which can change due to interactions with others. However, individuals can have different opinions in different topics and therefore n-dimensional…

Physics and Society · Physics 2021-09-22 Lucia Pedraza , Juan Pablo Pinasco , Nicolas Saintier , Pablo Balenzuela