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The dynamics of a time delayed epidemic model on a population with birth pulse

Author

Listed:
  • Qiao, Meihong
  • Liu, Anping
  • Fory’s, Urszula

Abstract

An epidemic model with time delay and impulse is proposed to describe if time delay plays an important role in the spread of an infectious disease. Mathematical analyses with regard to the local, global stability of equilibrium are performed. We give out the conditions for global attractivity of the disease-free equilibrium and permanence of the system, respectively.

Suggested Citation

  • Qiao, Meihong & Liu, Anping & Fory’s, Urszula, 2015. "The dynamics of a time delayed epidemic model on a population with birth pulse," Applied Mathematics and Computation, Elsevier, vol. 252(C), pages 166-174.
    • Handle: RePEc:eee:apmaco:v:252:y:2015:i:c:p:166-174
    DOI: 10.1016/j.amc.2014.12.022
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    References listed on IDEAS

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    1. Liu, Zhijun & Chen, Lansun, 2007. "Periodic solution of a two-species competitive system with toxicant and birth pulse," Chaos, Solitons & Fractals, Elsevier, vol. 32(5), pages 1703-1712.
    2. Carol Y. Lin, 2008. "Modeling Infectious Diseases in Humans and Animals by KEELING, M. J. and ROHANI, P," Biometrics, The International Biometric Society, vol. 64(3), pages 993-993, September.
    3. Jean Tewa & Samuel Bowong & Boulchard Mewoli & Jurgen Kurths, 2011. "Two-Patch Transmission of Tuberculosis," Mathematical Population Studies, Taylor & Francis Journals, vol. 18(3), pages 189-205.
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