Stochastic evolution of a nonlinear model of diffusion of information
Bibliographic Data
| ID | 7534840 |
|---|---|
| Authors | Karmeshu (corresponding author), Karmeshu Karmeshu (University of Delhi, corresponding author), R K Pathria (University of Waterloo) |
| Year | 1980 |
| Volume | 7 |
| Issue | 1 |
| Pages | 59-71 |
| Publication date | 1980-05-01 |
| Peer Reviewed | Yes |
| Open Access | No |
| Type | ARTICLE |
| Venue | Journal of Mathematical Sociology (JOURNAL) |
| Journal identifiers | ISSN: 0022-250X • E-ISSN: 1545-5874 |
| Publisher | Taylor & Francis (PUBLISHER • GB) |
| DOI | 10.1080/0022250x.1980.9989899 |
| OpenAlex | W1987940249 |
| Language | EN |
| Citations received | 11 |
| References cited | 9 |
A theoretical method based on the concept of “system‐sized expansion” is applied to a generalization of Bartholomew's model of diffusion of information in a population of size N. The model considers a combination of mass‐mediated and interactively mediated messages, with the provision that the spreaders of information may not remain active for an indefinite period of time; it also takes into account the possibility that the parameters governing the process be time‐dependent. Explicit expressions for the time evolution of the diffusion process (including the probability distribution of the relevant variable, its mean value and variance) are derived in the asymptotic regime N ≫ 1. The nonlinear character of the model enables us to exploit our asymptotic expressions for studying finite‐size effects as well; the resulting expressions turn out to be reliable for N as low as 10
Character (mathematics · Diffusion · Diffusion process · Exploit · Generalization · Innovation diffusion · Mathematical analysis · Nonlinear system · Physics · Population · Probability distribution · Random variable · Statistical physics · Statistics · Stochastic process · Variable (mathematics · Variance (accounting · Advanced Thermodynamics and Statistical Mechanics · Applied Mathematics · Computer Science · Mathematics · Opinion Dynamics and Social Influence · stochastic dynamics and bifurcation
A Propositional Inventory for New Diffusion Research
Diffusion of information in a random environment
Individual decision‐making in dynamic collective systems
A discrete time model of interactive diffusion
Interactive, threshold and non‐linear models for social systems
Diffusion of information in a social group
Ideodynamic predictions for the evolution of habits
Time development of a Markov process in a finite population
Ideodynamics
Stochastic evolution of competing social groups
A stochastic interactive model for the diffusion of information
| Unique citing works | 11 |
|---|---|
| Citations per year | 0.24 |
| Citation span | 1980 - 1985 (6) |
| Citation velocity | historical |
| Highly cited | No |
| Citation types | Neutral: 11 |