Research Article Open Access

Dynamical Model for Determining Human Susceptibility to Dengue Fever

Surapol Naowarat1, Thanon Korkiatsakul1 and I. Ming Tang2
  • 1 Department of Mathematics, Faculty of Science and Technology, Suratthani Rajabhat University, Surat Thani, 84100, Thailand
  • 2 Department of Physics, Faculty of Science, Mahidol University, Rama 6 Road, Bangkok, 10400, Thailand

Abstract

Problem statement: Mathematical models are a useful tool for understanding and describing the transmission of diseases such as dengue fever, one of the most prevalently emerging diseases common to tropical and subtropical areas throughout South East Asia. By taking into account human susceptibility to disease, the dynamics of a dengue disease model is proposed. Approach: Using standard methods for analyzing a system, the stability of the model is determined by using Routh-Hurwitz criteria. Results and Conclusion: We can show that the basic reproductive number (R0), the threshold parameter, when R0<1, the disease-free state is locally asymptotically stable. If R0>1, the endemic equilibrium state is locally asymptotically stable. Numerical results illustrate the dynamics of the disease within the context of varying parameter values.

American Journal of Applied Sciences
Volume 8 No. 11, 2011, 1101-1106

DOI: https://doi.org/10.3844/ajassp.2011.1101.1106

Submitted On: 13 August 2011 Published On: 28 September 2011

How to Cite: Naowarat, S., Korkiatsakul, T. & Tang, I. M. (2011). Dynamical Model for Determining Human Susceptibility to Dengue Fever. American Journal of Applied Sciences, 8(11), 1101-1106. https://doi.org/10.3844/ajassp.2011.1101.1106

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Keywords

  • Dengue Shock Syndrome (DSS)
  • Dengue Haemorrhagic Fever (DHF)
  • Dengue fever (DF)
  • Mathematical model
  • female Aedes mosquitoes
  • sequential infections