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Stability Analysis for the Disease Free Equilibrium of a Discrete Malaria Model with Two Delays

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Intelligent Computing Theories and Applications (ICIC 2012)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 7390))

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Abstract

A discrete-time model is established to show the transmission of malaria between humans and mosquitoes with the incubation periods of parasites within both human and mosquito concerned. It is proved that the disease free equilibrium of the model is globally asymptotically stable when the basic reproduction number is less than 1 by constructing appropriate Lyapunov functions.

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References

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Author information

Authors and Affiliations

  1. School of Mathematics and Physics, Changzhou University, Changzhou, 213164, China

    Chunqing Wu & Yanxin Zhang

Authors
  1. Chunqing Wu
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  2. Yanxin Zhang
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Editor information

Editors and Affiliations

  1. School of Electronics and Information Engineering, Machine Learning and Systems Biology Laboratory, Tongji University, 4800 Caoan Road, 201804, Shanghai, China

    De-Shuang Huang

  2. Faculty of Computer and Information Sciences, Hosei University, 3-7-2, Kajino-Cho, Koganei-Shi, Japan

    Jianhua Ma

  3. School of Electrical Engineering, University of Ulsan, #7-413, San 29, Muger Dong, 680-749, Ulsan, South Korea

    Kang-Hyun Jo

  4. Department of Biotechnology, Indian Institute of Technology (IIT) Madras, 600 036, Chennai, Tamilnadu, India

    M. Michael Gromiha

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© 2012 Springer-Verlag Berlin Heidelberg

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Wu, C., Zhang, Y. (2012). Stability Analysis for the Disease Free Equilibrium of a Discrete Malaria Model with Two Delays. In: Huang, DS., Ma, J., Jo, KH., Gromiha, M.M. (eds) Intelligent Computing Theories and Applications. ICIC 2012. Lecture Notes in Computer Science(), vol 7390. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31576-3_44

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  • DOI: https://doi.org/10.1007/978-3-642-31576-3_44

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-31575-6

  • Online ISBN: 978-3-642-31576-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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