Abstract
This chapter is devoted to the basic properties of the models of age-dependent population dynamics without diffusion. The main focus is on the existence, uniqueness and positivity of solutions of the linear model and of the nonlinear model. Some comparison results, which will be used later in the study of the optimal control of population dynamics, are stated. The asymptotic behaviour of the solutions is also investigated. Finally we establish some basic properties of the solution of linear periodic age-dependent population dynamics.
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© 2000 Springer Science+Business Media Dordrecht
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Aniţa, S. (2000). Analysis of Age-Dependent Population Dynamics. In: Analysis and Control of Age-Dependent Population Dynamics. Mathematical Modelling: Theory and Applications, vol 11. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9436-3_2
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DOI: https://doi.org/10.1007/978-94-015-9436-3_2
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-5590-3
Online ISBN: 978-94-015-9436-3
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