A CYBERNETIC APPROACH TO POPULATION DYNAMICS MODELING
- 1 July 1979
- journal article
- research article
- Published by Taylor & Francis in Journal of Cybernetics
- Vol. 9 (3) , 297-312
- https://doi.org/10.1080/01969727908927611
Abstract
Some problems arising when modeling population dynamics by means of stochastic difference and differential equations are discussed. For a particular parametrization of logistic growth equations limit diffusion processes are constructed and interpreted in the light of the Ito-Stratonovich controversy. An indirect confirmation of the validity of May's conjecture on the persistence of a population in a randomly varying environment is also obtained. An extension of these results to a wider class of growth equations is finally provided.This publication has 2 references indexed in Scilit:
- Diffusion Processes and Related Topics in BiologyPublished by Springer Nature ,1977
- A population's stationary distribution and chance of extinction in a stochastic environment with remarks on the theory of species packingTheoretical Population Biology, 1975