Skip to main content

Convergence of the Stochastic Age-Structured Population System with Diffusion

  • Conference paper
Advances in Computer Science, Environment, Ecoinformatics, and Education (CSEE 2011)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 214))

  • 1792 Accesses

Abstract

In this paper, stochastic age-structure population system with jump are studied. It is proved that the semi-implicit Euler approximation solutions converge to the analytic solution for the stochastic age-structured population system with Poisson jump. The analysis use Itô′s formula, Burkholder-Davis-Gundy’s inequality, Gronwall’s lemma and some inequalities for our purposes.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. Hernandez, G.E.: Age-density dependent population dispersal in R N. Mathematical Biosciences J. 149, 37–56 (1998)

    Article  MathSciNet  MATH  Google Scholar 

  2. Hernandez, G.E.: Existence of solutions in a population dynamic problem. J. Appl. Math. 509, 43–48 (1986)

    Google Scholar 

  3. Hernandez, G.E.: Localization of age-dependent ant-crowding populations. J. Q. Appl. Math. 53, 35 (1995)

    MATH  Google Scholar 

  4. Zhang, Q., Han, C.Z.: existence and uniqueness for a stochastic age-structured population system with diffusion. J. Science Direct 32, 2197–2206 (2008)

    MathSciNet  MATH  Google Scholar 

  5. Zhang, Q., Liu, W., Nie, Z.: Existence, uniqueness and exponential stability of stochastic age-dependent population. J. Appl. Math. Comput. 154, 183–201 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  6. Zhang, Q., Han, C.Z.: Convergence of numerical solutions to stochastic age-structured population system with diffusion. J. Applied Mathematics and Computation 07, 156 (2006)

    Google Scholar 

  7. Zhang, Q.: Exponential stability of numerical solutions to a stochastic age-structured population system with diffusion. Journal of Computational and Applied Mathematics 220, 22–33 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  8. Zhang, Q., Han, C.Z.: Numerical analysis for stochastic age-dependent population equations. J. Appl. Math. Comput. 176, 210–223 (2005)

    MathSciNet  Google Scholar 

  9. Gardon, A.: The Order of approximations for solutions of Ito-type stochastic differential equations with jumps. J. Stochastic Analysis and Applications 38, 753–769 (2004)

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Ma, D., Zhang, Q. (2011). Convergence of the Stochastic Age-Structured Population System with Diffusion. In: Lin, S., Huang, X. (eds) Advances in Computer Science, Environment, Ecoinformatics, and Education. CSEE 2011. Communications in Computer and Information Science, vol 214. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23321-0_1

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-23321-0_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-23320-3

  • Online ISBN: 978-3-642-23321-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

pFad - Phonifier reborn

Pfad - The Proxy pFad of © 2024 Garber Painting. All rights reserved.

Note: This service is not intended for secure transactions such as banking, social media, email, or purchasing. Use at your own risk. We assume no liability whatsoever for broken pages.


Alternative Proxies:

Alternative Proxy

pFad Proxy

pFad v3 Proxy

pFad v4 Proxy