This article presents an overview of the mathematical models of population growth for single-species populations. The first section discusses the models used to model population growth for species with nonoverlapping generations. These models are represented mathematically by linear or nonlinear difference equations. The second section focuses on the models used for species with overlapping generations - these range in complexity from the classic exponential and logistic growth models to models incorporating time lags, or population projection matrices with age (or class)-specific natality and mortality rates. The third section discusses how population growth is affected by the inclusion of stochastic variables.

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