Abstract
An approximation method using a sine function is used to solve the second degree growth equation for the case in which an organism may simultaneously become dispersed throughout a uniform region. The resulting expression for a special case is compared with the expression obtained by R. Barakat (1959,Bull. Math. Biophysics,21, 141–51), giving the first two terms, by an iterative, procedure. The agreement is satisfactory.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Literature
Barakat, R. 1959. “A Note on the Transient Stage of the Random Dispersal of Logistic Populations.”Bull. Math. Biophysics,21, 141–51.
Landahl, H. D. 1957. “Population Growth Under the Influence of Random Dispersal.”Bull. Math. Biophysics,19, 171–86.
Skellam, J. G. 1951. “Random Dispersal in Theoretical Populations.”Biometrika,38, 196–218.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Landahl, H.D. A note on population growth under random dispersal. Bulletin of Mathematical Biophysics 21, 153–159 (1959). https://doi.org/10.1007/BF02476357
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02476357