We reduce the extended MacKendrick-Von Foerster formalism of Gurney and Nisbet-an initial boundary value problem-to the solution of a single Volterra integral equation with a constant time lag. We then establish the existence, uniqueness and continuation of solutions for all t > 0, and reduce a simplified version of this model to a time-delay version of the classical MacKendrick model, for which the standard stability results for persistent distributions are available.
|Original language||English (US)|
|Number of pages||16|
|State||Published - 1987|
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