Acta Mathematicae Applicatae Sinica, English Series

, Volume 19, Issue 3, pp 467–476 | Cite as

Global Attracting Behavior of Non-autonomous Stage-structured Population Dynamical System with Diffusion

Original papers


A non-autonomous single species dispersal model is considered, in which individual member of the population has a life history that goes through two stages, immature and mature. By applying the theory of monotone and concave operators to functional differential equations, we establish conditions under which the system admits a positive periodic solution which attracts all other positive solutions.


Nonautonomous stage structure dispersal periodic solution global attractivity 

2000 MR Subject Classification

34C25 92D25 34D20 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  1. 1.Computer Network Information CenterChinese Academy of SciencesBeijingChina
  2. 2.Department of mathematicsXi’an University of Finance and EconomicsXi’anChina
  3. 3.Academy of Mathematics and System SciencesChinese Academy of SciencesBeijingChina

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