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

Global Attracting Behavior of Non-autonomous Stage-structured Population Dynamical System with... 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

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

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

Acta Mathematicae Applicatae Sinica, English Series Vol. 19, No. 3 (2003) 467–476 Global Attracting Behavior of Non-autonomous Stage-structured Population Dynamical System with Diffusion 1,2 3 4 Zhong-hua Lu ,Xue-bin Chi ,Lan-sun Chen 1,3 Computer Network Information Center, Chinese Academy of Sciences, Beijing 100080, China 1 3 (E-mail: zhlu@jupiter.cnc.ac.cn; chi@jupiter.cnc.ac.cn) Department of mathematics, Xi’an University of Finance and Economics, Xi’an 710061, China Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China (Email: lschen@math08.math.ac.cn) Abstract 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. Keywords Nonautonomous; stage structure, dispersal, periodic solution, global attractivity 2000 MR Subject Classification 34C25, 92D25, 34D20 1 Introduction The effect of environmental change in the growth of a species in a heterogeneous habitat is a subject of considerable interesting in the ecological literature. The theoretical study of this [10] subject was pioneered by Skellam and detailed bibliographies can be found in the work of [9] [7] [13] [1,2] [5] [3] Levin ,Hastings ,Takeuchi , Freedman , Cui & Chen , Beretta etc. Models were constructed to describe the growth of species dispersing among patches in a heterogeneous environment. On the other hand, the description of the age structure of the population is also an inter- esting problem in population dynamics. In nature, there are many species whose individual member has a life history that goes through two stages, immature and mature. In particular, we have in mind mammaliam...
Loading next page...
 
/lp/springer_journal/global-attracting-behavior-of-non-autonomous-stage-structured-CDngP0kUQv
Publisher
Springer Berlin Heidelberg
Copyright
Copyright © 2003 by Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
D.O.I.
10.1007/s10255-003-0122-2
Publisher site
See Article on Publisher Site

Abstract

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.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Mar 3, 2017

References

You’re reading a free preview. Subscribe to read the entire article.


DeepDyve is your
personal research library

It’s your single place to instantly
discover and read the research
that matters to you.

Enjoy affordable access to
over 12 million articles from more than
10,000 peer-reviewed journals.

All for just $49/month

Explore the DeepDyve Library

Unlimited reading

Read as many articles as you need. Full articles with original layout, charts and figures. Read online, from anywhere.

Stay up to date

Keep up with your field with Personalized Recommendations and Follow Journals to get automatic updates.

Organize your research

It’s easy to organize your research with our built-in tools.

Your journals are on DeepDyve

Read from thousands of the leading scholarly journals from SpringerNature, Elsevier, Wiley-Blackwell, Oxford University Press and more.

All the latest content is available, no embargo periods.

See the journals in your area

DeepDyve Freelancer

DeepDyve Pro

Price
FREE
$49/month

$360/year
Save searches from
Google Scholar,
PubMed
Create lists to
organize your research
Export lists, citations
Read DeepDyve articles
Abstract access only
Unlimited access to over
18 million full-text articles
Print
20 pages/month
PDF Discount
20% off