Skip to main content
SpringerLink
Log in

Properties of Periodic Solutions for Common Logistic Model with Discrete and Distributed Delay

  • Conference paper
Book cover Advances in Neural Networks - ISNN 2010 (ISNN 2010)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6063))

Included in the following conference series:

  • 1792 Accesses

Abstract

This paper discusses about the existence and uniqueness of periodic solutions of Logistic model with discrete and distributed delay. By using a Lyapunov function which unlike the former method, the conditions of existence and uniqueness of periodic solutions for this Logistic model are obtained. The result of this paper extend results of periodic solutions for the delay differential equations.

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

Access this chapter

Log in via an institution
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.

References

  1. Feng, C.: Almost periodic solutions for some integrodifferential equations with infinite delay. Applied Mathematics Letters 18, 245–252 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  2. Meng, X.Z., Chen, L.S., Wang, X.L.: Some new results for a logistic almost periodic system with infinite delay and discrete delay. Real World Applications 10, 1255–1264 (2009)

    Article  MATH  MathSciNet  Google Scholar 

  3. Feng, C.: On the existence and uniqueness of almost periodic solutions for delay Logistic equations. Applied Mathematics Letters 136, 487–494 (2005)

    Article  Google Scholar 

  4. Li, H.X.: Almost periodic solutions for logistic equations with infinite delay. Applied Mathematics Letters 21, 113–118 (2008)

    Article  MATH  MathSciNet  Google Scholar 

  5. Seifert, G.: Almost periodic solutions for delay Logistic equations with almost periodic time dependence. Differential Integral Equations 9(2), 335–342 (1996)

    MATH  MathSciNet  Google Scholar 

  6. Sawano, K.: Exponential asymptotic stability for functional differential equations with infinite retardation. Tohoku Math. J. 31, 363–382 (1979)

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Nonlinear and Complex System, China Three Gorges University, YiChang, Hubei, 443002, China

    Ting Zhang, Minghui Jiang & Zhengwen Tu

Authors
  1. Ting Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Minghui Jiang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Zhengwen Tu
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Department of Computer Science and Engineering, Shanghai Jiao Tong University, 800 Dongchuan Road, 200240, Shanghai, China

    Liqing Zhang

  2. Department of Computer Science and Engineering, Shanghai Jiao Tong University, 800, Dongchuan Road, 200240, Shanghai, China

    Bao-Liang Lu

  3. Department of Computer Science and Engineering, The Hong Kong University of Science and Technology, Clear Water bay, Kowloon, Hong Kong, China

    James Kwok

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Zhang, T., Jiang, M., Tu, Z. (2010). Properties of Periodic Solutions for Common Logistic Model with Discrete and Distributed Delay. In: Zhang, L., Lu, BL., Kwok, J. (eds) Advances in Neural Networks - ISNN 2010. ISNN 2010. Lecture Notes in Computer Science, vol 6063. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13278-0_81

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-13278-0_81

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-13277-3

  • Online ISBN: 978-3-642-13278-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation