Volume 11, no. 3Pages 18 - 28

Population Models with Projection Matrix with Some Negative Entries - a Solution to the Natchez Paradox

J. Banasiak
In this note we consider the population the model of which, derived on the basis of ethnographical accounts, includes a projection matrix with both positive and negative entries. Interpreting the eventually negative trajectories as representing the collapse of the population, we use some classical tools from convex analysis to determine a cone containing the initial conditions that give rise to the persistence of both the population and its social structure.
Full text
population theory; Natchez civilisation; convex cone; Perron-Frobenius theory; viability cone.
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