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J H Swart

Publications and source records attributed to J H Swart.

5 recordsLinked to original sources

A simplified model for age-dependent population dynamics.

The Gurtin-MacCamy model for age-dependent population dynamics is reduced to a single ordinary differential equation by assuming a certain form of the mortality function, which is justified by several biological examples. Some results about harvesting are obtained.

Age Factors↗

Stable controls in age-dependent population dynamics.

The classical age-dependent population model is considered, in which mortality depends on total population and fertility is age-dependent. It is shown that in general such systems are not completely controllable with respect to a control variable in the mortality function, but that in certain circumstances a suitable control can be found to hold the population at a specified level.

Age Factors↗