The Von Foerster equation transports a population density through age while mortality removes individuals. A birth boundary condition at age zero closes the model; for a prescribed fertility rate it has the form .
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The Von Foerster equation, named after the physicist Heinz von Foerster, is a partial differential equation that describes the evolution of the density distribution of a population or the distribution of an attribute over time. It's particularly used in the context of population dynamics and can model how the density of individuals in a particular state changes over time due to various processes such as reproduction, aging, or external influences.