Publication: Dynamical model for determining human susceptibility to dengue fever
Issued Date
2011-11-04
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ISSN
15543641
15469239
15469239
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2-s2.0-80055116324
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Mahidol University
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SCOPUS
Bibliographic Citation
American Journal of Applied Sciences. Vol.8, No.11 (2011), 1101-1106
Suggested Citation
Surapol Naowarat, Thanon Korkiatsakul, I. Ming Tang Dynamical model for determining human susceptibility to dengue fever. American Journal of Applied Sciences. Vol.8, No.11 (2011), 1101-1106. doi:10.3844/ajassp.2011.1101.1106 Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/12903
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Title
Dynamical model for determining human susceptibility to dengue fever
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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 (R 0 ), the threshold parameter, when R 0 < 1, the disease-free state is locally asymptotically stable. If R0 > 1, the endemic equilibrium state is locally asymptotically stable. In other words, numerical results illustrate the dynamics of the disease within the context of varying parameter values.
