Abstract
The productivity factor is very important at the mathematical simulation of scientific community evolution. In Ref. 1 the productivity index has been incorporated into the model exogenously to formulate the criterion of dynamic optimization of the scientific community age structure. In this paper we are going to include the productivity (as well as the age) in the individual state space and to derive the main dynamic equation which takes into account the stochastic fluctuations of scientific community members' productivity and some modifications of the Fokker-Planck equation. An approximation method for the evolution model is suggested with the aid of which the computational experiment is carried out. The discussion of experimental results and possible ways for improvement and extension of model are presented.
Similar content being viewed by others
References
A. K. Romanov, A. I. Terekhov, The mathematical modelling of the scientific personnel movement taking into account the productivity factor,Scientometrics, 33 (1995) 221–231.
A. van Heeringen, P. A. Dijkwel, The relationship between age, mobility and scientific productivity,Scientometrics, 11 (1987) 267–293.
A. M. Diamond, Jr, An optimal control model of the life-cycle research productivity of scientists,Scientometrics, 11 (1987) 251–253.
A. P. Sage, J. L. Melsa,An Introduction to Probability and Stochastic Processes, New Jersey, Prentice-Hall Inc., 1973.
P. C. Fife,Mathematical Aspects of Reacting and Diffusion Systems, New-York, N.Y., Springer-Verlag, 1979.
A. Konrad, J. Pfeffer, Do you get what you deserve? Factors affecting the relationship between productivity and pay,Administrative Science Quarterly, 35, No. 2 (1990) 258–285.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Romanov, A.K., Terekhov, A.I. The mathematical model of productivity- and age-structured scientific community evolution. Scientometrics 39, 3–17 (1997). https://doi.org/10.1007/BF02457427
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02457427