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A Nonlinear Model of Age-Dependent Population Dynamics

Abstract

We consider a mathematical model of age-dependent population dynamics that is a generalization of the Gurtin–MacCamy model. We study the existence and uniqueness of solutions of an initial boundary-value problem and the existence and stability of stationary age distributions.

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Matsenko, V.H. A Nonlinear Model of Age-Dependent Population Dynamics. Nonlinear Oscillations 6, 350–360 (2003). https://doi.org/10.1023/B:NONO.0000016413.74736.2e

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  • DOI: https://doi.org/10.1023/B:NONO.0000016413.74736.2e

Keywords

  • Differential Equation
  • Mathematical Model
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Population Dynamic