Polarization and Consensus in a Voter Model under Time-Fluctuating Influences

Mobilia, Mauro

doi:10.3390/physics5020037

Cited by 9 publications

(4 citation statements)

References 86 publications

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“…Similar Q and A environmental regimes have been identified elsewhere, see e.g. [96,97] 4 . The border between Q and A regimes is determined by…”

Section: Theory For the Fixation-coexistence Diagrams In Fluctuating ...supporting

confidence: 77%

“…It is worth noting that the annealed regime often corresponds to the limit ν → ∞ where the environmental noise ξ self averages[11,12,40,41,96,97]. Here, the case of intermediate switching with a finite number of switches prior to fixation/extinction is qualitatively similar to the case ν → ∞, and for simplicity we here refer to it as the annealed regime A.…”

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confidence: 99%

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Eco-evolutionary dynamics of cooperative antimicrobial resistance in a population of fluctuating volume and size

Hernández-Navarro,

Asker,

Mobilia

2024

J. Phys. A: Math. Theor.

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Antimicrobial resistance to drugs (AMR), a global threat to human and animal health, is often regarded as resulting from a cooperative behaviour. Moreover, microbes generally evolve in volatile environments that, together with demographic fluctuations (birth and death events), drastically alter population size and strain survival. Motivated by the need to better understand the evolution of AMR, we study a population of time-varying size consisting of two competing strains, one drug-resistant and one drug-sensitive, subject to demographic and environmental variability. This is modelled by a binary carrying capacity randomly switching between mild and harsh environmental conditions, and driving the fluctuating volume (total amount of nutrients and antimicrobials at fixed concentration), and thus the size of the community (number of resistant and sensitive cells). We assume that AMR is a shared public good when the concentration of resistant cells exceeds a fixed {\it concentration cooperation threshold}, above which the sensitive strain has a growth advantage, whereas resistant cells dominate below it. Using computational means, and devising an analytical treatment (built on suitable quenched and annealed averaging procedures), we fully characterise the influence of fluctuations on the eco-evolutionary dynamics of AMR, and notably obtain specific strain fixation and long-lasting coexistence probabilities as a function of the environmental variation rate and cooperation threshold. We find that microbial strains tend to coexistence, but demographic fluctuations eventually lead to the extinction of resistant or sensitive cells for small or large values of the concentration cooperation threshold, respectively. This also holds for dynamic environments, whose specific properties determine the extinction timescale.

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“…Similar Q and A environmental regimes have been identified elsewhere, see e.g. [96,97] 4 . The border between Q and A regimes is determined by…”

Section: Theory For the Fixation-coexistence Diagrams In Fluctuating ...supporting

confidence: 77%

mentioning

confidence: 99%

Eco-evolutionary dynamics of cooperative antimicrobial resistance in a population of fluctuating volume and size

Hernández-Navarro,

Asker,

Mobilia

2024

J. Phys. A: Math. Theor.

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“…In these models, usually only binary opinions are considered, which naturally causes society polarisation. However, modifications that allow for multiple opinions were also studied [33][34][35][36][37][38][39][40][41][42][43][44][45].…”

Section: Introductionmentioning

confidence: 99%

Phase Diagram for Social Impact Theory in Initially Fully Differentiated Society

Malarz,

Masłyk

2023

Physics

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The study of opinion formation and dynamics is one of the core topics in sociophysics. In this paper, the results of computer simulation of opinion dynamics based on social impact theory are presented. The simulations are based on Latané theory in its computerised version proposed by Nowak, Szamrej and Latané. The active parameters of the model describe the volatility of the actors (social temperature T) and the effective range of interaction (governed by an exponent α in a scaling function of distance between actors). Initially, every actor i has his/her own opinion. Our results indicate that ultimately at least 90% of the initial opinions available are removed from the society. For a low social temperature and a long range of interaction, only one opinion survives. Also, a rough sketch of the system phase diagram is presented. It indicates a set of (α,T) leading either to (1) the dominance of the unanimity of the opinions or (2) mixtures of unanimity and polarisation, or (3) taking random opinions by actors, or (4) a mixture of the final fates of the systems. The drastic reduction of finally observed opinions vs. their initial variety may be generic for many sociophysical models of opinions formation but masked by assuming an initially small pool of available opinions (in the worst case, in models with only binary opinions).

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“…The work in [14] analyzed a majority rule dynamics under the action of noise and an external modulation, and found an SR that depends on the randomness of the small-world network. There are also other works [39][40][41][42][43] that explored the combined effects of stochastic driving and an external signal on a majority rule dynamics. However, none of these works have incorporated a contrarian behavior in the dynamics.…”

Section: Introductionmentioning

confidence: 99%

Contrarian Majority Rule Model with External Oscillating Propaganda and Individual Inertias

Gimenez,

Reinaudi,

Galam

et al. 2023

Entropy

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We study the Galam majority rule dynamics with contrarian behavior and an oscillating external propaganda in a population of agents that can adopt one of two possible opinions. In an iteration step, a random agent interacts with three other random agents and takes the majority opinion among the agents with probability p(t) (majority behavior) or the opposite opinion with probability 1−p(t) (contrarian behavior). The probability of following the majority rule p(t) varies with the temperature T and is coupled to a time-dependent oscillating field that mimics a mass media propaganda, in a way that agents are more likely to adopt the majority opinion when it is aligned with the sign of the field. We investigate the dynamics of this model on a complete graph and find various regimes as T is varied. A transition temperature Tc separates a bimodal oscillatory regime for T<Tc, where the population’s mean opinion m oscillates around a positive or a negative value from a unimodal oscillatory regime for T>Tc in which m oscillates around zero. These regimes are characterized by the distribution of residence times that exhibit a unique peak for a resonance temperature T*, where the response of the system is maximum. An insight into these results is given by a mean-field approach, which also shows that T* and Tc are closely related.

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Polarization and Consensus in a Voter Model under Time-Fluctuating Influences

Cited by 9 publications

References 86 publications

Eco-evolutionary dynamics of cooperative antimicrobial resistance in a population of fluctuating volume and size

Eco-evolutionary dynamics of cooperative antimicrobial resistance in a population of fluctuating volume and size

Phase Diagram for Social Impact Theory in Initially Fully Differentiated Society

Contrarian Majority Rule Model with External Oscillating Propaganda and Individual Inertias

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