Skip to main content
SpringerLink
Log in

The Analysis of Epidemic Disease Propagation in Competition Environment

  • Conference paper
  • First Online:
Proceedings of 2013 Chinese Intelligent Automation Conference

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 256))

Abstract

An autonomous SIRS epidemic model of two competitive species is established in this paper, in which One kind of disease can survive and have the chance of cross-infection, not only the disease of the cross-infection but also the additional disease death rates are considered in this model, through the analysis of this kind of model, we can gain the threshold value condition of the stability of equilibrium. Even more it can see the global stability of the model through simulation number value.

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 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover 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

References

  1. Yoichi Enatsu YN, Yoshiaki M (2012) Global stability of SIRS epidemic models with a class of nonlinear incidence rates and distributed delays. Acta Mathematica Scientia 32B(3):851–865

    Google Scholar 

  2. Wang JL, Yasuhiro T (2012) A multi-group sveir epidemic model with distributed delay and vaccination. J Math Biol 5(3):1–18

    Google Scholar 

  3. Gang Y, Wang LH (2009) A class of the combination of SEIR and SEIS epidemic model with constant recruitment. J Hennan Polytech Univ (Natural Science) 28(2):256–259

    Google Scholar 

  4. Xiao JY, Wu CF, Weng PX (2012) Traveling waves for a sirs model with nonlocal diffusion. Int J Biomath 5(5):1–36

    Google Scholar 

  5. Wang LD (2005) Analysis on a SIRS epidemic model with a nonlinear incidence rate. J North China Inst Technol 26(1):1–5 (in chinese)

    Google Scholar 

  6. Wang J, Wang H (2002) SIRS epidemiological models with population dynamics and nonlinear incidence. J Ianzhou Univ (Natural Sciences) 38(1):22–29

    Google Scholar 

  7. Xiao YN, Chen LS (2003) Stabilizing effect of cannibalism on a structured competitive system. Chin J Math Phys 22A(2):210–216 (in chinese)

    Google Scholar 

  8. Herbert WH, Wang WD, Han LT (2004) A predator–prey model with infected prey. Theor Popul Biol 66:259–268

    Google Scholar 

  9. Cao Y, Jing YW, Yuan F (2012) Analysis of a SIRS model with nonlinear incidence rate on complex networks. J Northeast Univ (Natural Science) 33(1):1720 (inchinese)

    Google Scholar 

  10. Mukherjee D (2010) Hopf bifurcation in an eco-epidemic model. Appl Math Comput 217(5):2118–2124

    Google Scholar 

Download references

Acknowledgments

This paper is sponsored by the National Natural Science Foundation of China (NSFC, Grant U1204703, 61142010), the Key Scientific and Technological Prject of Henan Prince (112400450505, 122102310004, 122400450544), the Fundamental Research Funds for the Central Univerties (HUST:2012QN087, 2012QN088), the Innovation Scientists and Technicians Troop Construction Projects of Zhengzhou City (10LJRC190), the Scientific and Technological Project of Zheng zhou City (121PRKXF658-4).

Author information

Authors and Affiliations

  1. College of Information Science and Technology, Zhengzhou Normal University, No.6, Yincai Street, Huiji District, Zhengzhou City, Henan, China

    Mingsheng Hu, Suimin Jia, Qiaoling Chen, Zhijuan Jia & Liu Hong

Authors
  1. Mingsheng Hu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Suimin Jia
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Qiaoling Chen
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Zhijuan Jia
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Liu Hong
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Mingsheng Hu .

Editor information

Editors and Affiliations

  1. , Department of Computer Science, Tsinghua University, Qinghua, Beijing, 100084, China, People's Republic

    Zengqi Sun

  2. Tsinghua University, Qinghua, Beijing, 100084, China, People's Republic

    Zhidong Deng

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Hu, M., Jia, S., Chen, Q., Jia, Z., Hong, L. (2013). The Analysis of Epidemic Disease Propagation in Competition Environment. In: Sun, Z., Deng, Z. (eds) Proceedings of 2013 Chinese Intelligent Automation Conference. Lecture Notes in Electrical Engineering, vol 256. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38466-0_26

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-38466-0_26

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-38465-3

  • Online ISBN: 978-3-642-38466-0

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation