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An age‐structured model of population dynamics with dominant ages,delayed behavior,and oscillations
Authors:Tanya Kostova  Fabio A Milner
Institution:1. Institute of Mathematics , Bulgarian Academy of Sciences , Sofia, Bulgaria;2. Department of Mathematics , Purdue University , West Lafayette, IN, 47907, USA
Abstract:

An age‐structured model of population dynamics with age‐dominance is proposed and analyzed. Existence and uniqueness of solutions are established as well as the uniqueness and local asymptotic stability of steady‐states. Conditions for convergence to or oscillation about the steady‐state are specified in some cases.
Keywords:Population dynamics  delays  oscillations
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