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2008, Volume 9, Issue 2: 249-266. Doi: 10.3934/dcdsb.2008.9.249
This issue Previous Article Adaptive synchronization of a class of uncertain chaotic systems Next Article Periodic solutions for a semi-ratio-dependent predator-prey dynamical system with a class of functional responses on time scales

Asymptotic behavior of size-structured populations via juvenile-adult interaction

  • 1.

    Department of Computing Science and Mathematics, University of Stirling, Stirling, FK9 4LA

  • 2.

    Department of Mathematical Sciences, The University of Memphis, Memphis, TN 38152

Received:  December 2006
Revised:  October 2007
Published:  March 2008
Abstract / Introduction Related Papers Cited by
    Abstract
  • In this work a size-structured juvenile-adult population model is considered. The linearized dynamical behavior of stationary solutions is analyzed using semigroup and spectral methods. The regularity of the governing linear semigroup allows us to derive biologically meaningful conditions for the linear stability of stationary solutions. The main emphasis in this work is on juvenile-adult interaction and resulting consequences for the dynamics of the system. In addition, we investigate numerically the effect of a non-zero population inflow, due to an external source of newborns, on the linear dynamical behavior of the system in a special case of model ingredients.
    Mathematics Subject Classification: Primary: 92D25, 47D06; Secondary: 35B35.

    Citation:
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