Related Experiment Video
Updated: Mar 8, 2026
08:53
Integrating Computerized Linguistic and Social Network Analyses to Capture Addiction Recovery Capital in an Online Community
Published on: May 31, 2019
5.9K
Competition of simple and complex adoption on interdependent networks.
Agnieszka Czaplicka1, Raul Toral1, Maxi San Miguel1
1Instituto de Física Interdisciplinar y Sistemas Complejos, IFISC (CSIC-UIB), Campus UIB, 07122 Palma de Mallorca, Spain.
Physical Review. E
|January 14, 2017
Summary
This study explores coupled adoption dynamics using complex threshold and susceptible-infected-susceptible (SIS) models. Interlayer connections alter transition points and nature, showing complex threshold adoption increases critical thresholds while SIS adoption extends adopter phases.
Area of Science:
- Complex systems
- Network science
- Mathematical modeling
Background:
- Adoption processes can be modeled using distinct dynamics, such as complex threshold dynamics and susceptible-infected-susceptible (SIS) models.
- These models, when isolated, exhibit different transition behaviors between nonadoption and adoption phases (first-order vs. continuous).
Purpose of the Study:
- To investigate the effects of coupling two different adoption mechanisms (complex threshold and SIS) on a two-layer interconnected network.
- To analyze how interlayer connectivity modifies the transition points and the nature of adoption phases in each layer.
Main Methods:
- Development of a coupled model incorporating complex threshold dynamics on one layer and SIS dynamics on a second layer.
- Introduction of interconnections between the two layers to simulate coupling.
- Application of a mean-field analytical approach to describe the numerical findings.
Main Results:
- In the complex adoption layer, critical thresholds for adoption increase with interlayer connectivity, contrasting with isolated networks.
- The nature of transitions in the complex layer can shift to continuous depending on connectivity details.
- Interlayer connectivity in the SIS layer consistently extends the adopter phase and introduces a novel transition characterized by a sudden drop in adopters.
Conclusions:
- Coupling distinct adoption mechanisms significantly alters their individual and collective behaviors.
- Interlayer connectivity acts as a crucial parameter in modulating adoption dynamics and transition types in multilayer networks.
- The developed mean-field approach provides an effective analytical framework for understanding these coupled threshold-SIS systems.
Related Concept Videos
02:06Social Exchange Theory
40.9K
We have discussed why we form relationships, what attracts us to others, and different types of love. But what determines whether we are satisfied with and stay in a relationship? One theory that provides an explanation is social exchange theory. According to social exchange theory, we act as naïve economists in keeping a tally of the ratio of costs and benefits of forming and maintaining a relationship with others (Rusbult & Van Lange, 2003).
40.9K
01:26Social Exchange Theory
628
As formulated by John Thibaut and Harold Kelley, Social Exchange Theory explains human relationships as economic-like exchanges that maximize rewards and minimize costs. This theory suggests that individuals engage in relationships to gain benefits and reduce burdens, similar to economic transactions. It has been widely applied to various types of relationships, including romantic, professional, and social interactions.Rewards and Costs in RelationshipsRelationship rewards include emotional...
628
02:12Relationship Formation
46.3K
What do you think is the single most influential factor in determining with whom you become friends and whom you form romantic relationships? You might be surprised to learn that the answer is simple: the people with whom you have the most contact. This most important factor is proximity. You are more likely to be friends with people you have regular contact with. For example, there are decades of research that shows that you are more likely to become friends with people who live in your dorm,...
46.3K
01:07Ladder Diagrams: Complexation Equilibria
664
Ladder diagrams are useful for evaluating equilibria involving metal-ligand complexes. The vertical scale of the ladder diagram represents the concentration of unreacted or free ligand, pL. The horizontal lines on the scale depict the log of stepwise formation constants for metal-ligand complexes and indicate the dominant species in all the regions.
The formation constant, K1, for the formation of Cd(NH3)2+ complex from cadmium and ammonia is 3.55 × 102. Log K1 (i.e. pNH3) is 2.55, and...
The formation constant, K1, for the formation of Cd(NH3)2+ complex from cadmium and ammonia is 3.55 × 102. Log K1 (i.e. pNH3) is 2.55, and...
664
01:21Frequency-dependent Selection
24.4K
When the fitness of a trait is influenced by how common it is (i.e., its frequency) relative to different traits within a population, this is referred to as frequency-dependent selection. Frequency-dependent selection may occur between species or within a single species. This type of selection can either be positive—with more common phenotypes having higher fitness—or negative, with rarer phenotypes conferring increased fitness.
24.4K
01:57Protein Complexes with Interchangeable Parts
3.0K
Groups of proteins may form a complex where each protein in this complex has a different role in the overall execution of the complex’s function. Often some of the proteins in the complex can be replaced by a closely related variant to give a complex that contains many of the same components yet is functionally distinct.
The SCF ubiquitin ligase is a protein complex of five individual proteins. This complex attaches ubiquitin to other target proteins to mark them for degradation. In order...
The SCF ubiquitin ligase is a protein complex of five individual proteins. This complex attaches ubiquitin to other target proteins to mark them for degradation. In order...
3.0K