Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Knowledge epidemics and population dynamics models for describing idea
  diffusion   The diffusion of ideas is often closely connected to the creation and
diffusion of knowledge and to the technological evolution of society. Because
of this, knowledge creation, exchange and its subsequent transformation into
innovations for improved welfare and economic growth is briefly described from
a historical point of view. Next, three approaches are discussed for modeling
the diffusion of ideas in the areas of science and technology, through (i)
deterministic, (ii) stochastic, and (iii) statistical approaches. These are
illustrated through their corresponding population dynamics and epidemic models
relative to the spreading of ideas, knowledge and innovations. The
deterministic dynamical models are considered to be appropriate for analyzing
the evolution of large and small societal, scientific and technological systems
when the influence of fluctuations is insignificant. Stochastic models are
appropriate when the system of interest is small but when the fluctuations
become significant for its evolution. Finally statistical approaches and models
based on the laws and distributions of Lotka, Bradford, Yule, Zipf-Mandelbrot,
and others, provide much useful information for the analysis of the evolution
of systems in which development is closely connected to the process of idea
diffusion.

18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th