A discrete time model of interactive diffusion
Bibliographic Data
| ID | 10142413 |
|---|---|
| Authors | Jean‐François Ingenbleek (Université Libre de Bruxelles, corresponding author), Claude Lefèvre (0000-0001-5920-5316, Université Libre de Bruxelles) |
| Year | 1985 |
| Volume | 11 |
| Issue | 1 |
| Pages | 25-42 |
| Publication date | 1985-01-01 |
| 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.1985.9989979 |
| OpenAlex | W2060782015 |
| Language | EN |
| References cited | 17 |
This paper is concerned with the analysis of a discrete time version of a standard model of interactive diffusion. Both stochastic and deterministic formulations are considered and their main properties are discussed and compared. A normal approximation is then constructed for the case where the population size is very large. Finally, a simple linear approximating process is proposed and investigated. These two approximations are illustrated and commented upon with some numerical examples
Diffusion · Diffusion process · Discrete time and continuous time · Heavy traffic approximation · Innovation diffusion · Mathematical optimization · Physics · Population · Simple (philosophy · Statistical physics · Statistics · Stochastic process · Applied Mathematics · Complex Network Analysis Techniques · Computer Science · Mathematical and Theoretical Epidemiology and Ecology Models · Mathematics · Opinion Dynamics and Social Influence
Diffusion of information in a random environment
Continuous time diffusion models with random duration of interest
Diffusion of information in a social group
Time development of a Markov process in a finite population
A stochastic model allowing interaction among individuals and its behavior for large populations
Interactive markov chains
On simple stochastic diffusion models
Stochastic evolution of a nonlinear model of diffusion of information
Threshold models of diffusion and collective behavior
Stochastic evolution of competing social groups
Approximations for interactive Markov chains in discrete and continuous time
| Citation velocity | historical |
|---|---|
| Highly cited | No |