Abstract
The model of age-dependent population dynamics was for the first time described by von Foerster (1959) This model is based on the first-order partial differential equation with the standard initial condition and the nonlocal boundary condition in integral form. Gurtin and MacCamy in their paper (1974) analyzed the more general model, where the progress of the population depends on its number. They established the existence of the unique solution of this model for all time. In our presentation the results of Gurtin and MacCamy will be generalized on the case, when the dependence on number of population is delayed.
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Dedicated to Arrigo Cellina and James Yorke
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© 2007 Birkhäuser Verlag Basel/Switzerland
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Dawidowicz, A.L., Poskrobko, A. (2007). Age-dependent Population Dynamics with the Delayed Argument. In: Staicu, V. (eds) Differential Equations, Chaos and Variational Problems. Progress in Nonlinear Differential Equations and Their Applications, vol 75. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8482-1_13
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DOI: https://doi.org/10.1007/978-3-7643-8482-1_13
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