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Global Stability of Multigroup Dengue Disease Transmission Model

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Listed:
  • Deqiong Ding
  • Xueping Wang
  • Xiaohua Ding

Abstract

We investigate a class of multigroup dengue epidemic model. We show that the global dynamics are determined by the basic reproductive number R0. We present that when R0 ≤ 1, there is a unique disease‐free equilibrium which is globally asymptotically stable; when R0 > 1, there exists a unique endemic equilibrium and it is globally asymptotically stable proved by a graph‐theoretic approach to the method of global Lyapunov function.

Suggested Citation

  • Deqiong Ding & Xueping Wang & Xiaohua Ding, 2012. "Global Stability of Multigroup Dengue Disease Transmission Model," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnljam:v:2012:y:2012:i:1:n:342472
    DOI: 10.1155/2012/342472
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    References listed on IDEAS

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    1. Cai, Liming & Guo, Shumin & Li, XueZhi & Ghosh, Mini, 2009. "Global dynamics of a dengue epidemic mathematical model," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2297-2304.
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    Cited by:

    1. Yao Chen & Mei Yan & Zhongyi Xiang, 2014. "Transmission Dynamics of a Two‐City SIR Epidemic Model with Transport‐Related Infections," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).

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