A stochastic gompertz model with hereditary effect
- 1 January 1979
- journal article
- Published by Springer Nature in Journal of Mathematical Biology
- Vol. 8 (2) , 189-196
- https://doi.org/10.1007/bf00279721
Abstract
In this paper we have studied a stochastic version of the Gompertz model for population growth of a single species after incorporating the aspect of heredity. Various statistical characteristics-the mean-value function, covariance-kernel, etc.-are evaluated for a delta-correlated process and their asymptotic values obtained. The effect of the hereditary kernel on the various statistics is discussed and it is found that it is to shift the distribution towards the origin.Keywords
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