Discrete and Continuous Dynamical Systems - Series B (DCDS-B)

Population dynamics of sea bass and young sea bass

Pages: 833 - 840, Volume 4, Issue 3, August 2004      doi:10.3934/dcdsb.2004.4.833

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Masahiro Yamaguchi - Graduate School of Science and Technology, Shizuoka University, Johoku 3-5-1, Hamamatsu, Shizuoka, Japan (email)
Yasuhiro Takeuchi - Department of Systems Engineering, Faculty of Engineering, Shizuoka University, Hamamatsu 432-8561, Japan (email)
Wanbiao Ma - Department of Applied Mathematics, School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China (email)

Abstract: This paper considers population dynamics of sea bass and young sea bass which are modeled by stage-structured delay-differential equations. It is shown that time delay can stabilize the dynamics. That is, as time delay increases, system becomes periodic and stable even if system without time delay is chaotic.

Keywords:  Delay equations, local stability, Lotka-Volterra equation.
Mathematics Subject Classification:  34K20, 34K23, 92D25.

Received: November 2002;      Revised: January 2004;      Available Online: May 2004.