A Mean-Field Approximation of SIR Epidemics on an Erdös–Rényi Network Model

Durón, Christina; Farrell, Alex

doi:10.1007/s11538-022-01026-2

Cited by 3 publications

(2 citation statements)

References 15 publications

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“…In addition, we introduce individuals with different fluctuation patterns in social networks, and their adoption probability are represented by the mathematical function: In this study, our experiments were based on the classical Erds-Rnyi (ER) network model [37] and Scale-Free (SF) network model [38]. Within the model, the variable m is employed to quantify the extent of information acquisition by an individual i within a network.…”

Section: Propagation Modelmentioning

confidence: 99%

Behavioral propagation influenced by fluctuating personality on single-layer limited-contact network

Zhu,

Zhang,

Liu

et al. 2024

Phys. Scr.

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In daily life, everyone has some degree of ﬂuctuating personality, which is often manifested when making major decisions. To study the inﬂuence of ﬂuctuating personality in behavioral propagation, we build a network model that is distinguished by a single layer and limited contact, and involves individuals with ﬂuctuating personalities. At the same time, the impact of individual limited contact ability and network heterogeneity on information dissemination is studied. Based on this, we analyze the eﬀect of personality ﬂuctuations on the information propagation mechanism in complex networks using the theory of generalized edge partitioning. Finally, the study found a crossover phase transition phenomenon in the propagation process. In this model, as the ﬂuctuation of personality becomes stronger, the ﬁnal adoption range increases continuously with the increase of the propagation rate. In addition, when the frequency of psychological ﬂuctuations of individuals reaches a certain value, the model’s outbreak threshold and the ﬁnal propagation range tend to be consistent. The outcomes of the theoretical analysis and the ﬁndings of the practical simulation accord well.

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Section: Propagation Modelmentioning

confidence: 99%

Behavioral propagation influenced by fluctuating personality on single-layer limited-contact network

Zhu,

Zhang,

Liu

et al. 2024

Phys. Scr.

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“…Disease models can broadly be divided into between-host analysis-those which analyze spread of the disease from one person to another-and in-host analysis-those which analyze the dynamics of the disease and immune response within a person 41,44,51,15,27,47 . Even in the realm of between-host analysis, there are a variety of approaches one may take including compartmental modeling (as in this study and many of the references below), network models 20,43,17,39,52 , agent-based models 31,32,34,42 , and self-exciting point process models 13,30,24 . Modeling a pandemic with high fidelity would likely require multiscale considerations, so some effort has been devoted to developing combined between-and-within-host models 5,45,12 .…”

Section: Introductionmentioning

confidence: 99%

Alternative SIAR models for infectious diseases and applications in the study of non-compliance

Bongarti

Galvan

Hatcher

et al. 2022

Math. Models Methods Appl. Sci.

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In this paper, we use modified versions of the SIAR model for epidemics to propose two ways of understanding and quantifying the effect of non-compliance to non-pharmaceutical intervention measures on the spread of an infectious disease. The SIAR model distinguishes between symptomatic infected (I) and asymptomatic infected (A) populations. One modification, which is simpler, assumes a known proportion of the population does not comply with government mandates such as quarantining and social-distancing. In a more sophisticated approach, the modified model treats non-compliant behavior as a social contagion. We theoretically explore different scenarios such as the occurrence of multiple waves of infections. Local and asymptotic analyses for both models are also provided.

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Mean-field approach to Rydberg facilitation in a gas of atoms at high and low temperatures

Brady,

Fleischhauer

2023

Phys. Rev. A

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A Mean-Field Approximation of SIR Epidemics on an Erdös–Rényi Network Model

Cited by 3 publications

References 15 publications

Behavioral propagation influenced by fluctuating personality on single-layer limited-contact network

Behavioral propagation influenced by fluctuating personality on single-layer limited-contact network

Alternative SIAR models for infectious diseases and applications in the study of non-compliance

Mean-field approach to Rydberg facilitation in a gas of atoms at high and low temperatures

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