Mathematical Modeling of Dengue Disease under Random Effects

Zafer Bekiryazici; Mehmet Merdan; Tülay Kesemen; Mohammed Najmuldeen

doi:10.36753/mathenot.421458

EN

Mathematical Modeling of Dengue Disease under Random Effects

Abstract

In this study, the deterministic mathematical model of Dengue disease is examined under Laplacian random effects. Random variables with Laplace distribution are used for randomizing the deterministic parameters. Simulations of the numerical results of the equation system are made with Monte-Carlo methods and the results are used for commenting on the disease. Comments are made on the random behavior of the components of the model after the calculation of their numerical characteristics like the expected value, variance, standard deviation, confidence interval and moments along with the coefficients of skewness and kurtosis from the results of the simulations. Results from the deterministic model are compared with the results from the random model to point out the possible contribution of random modeling to mathematical analysis studies on the disease.

Keywords

Mathematical Model,Random Effect,Simulation,Laplace Distribution

References

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Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Publication Date

October 30, 2016

Submission Date

June 24, 2016

Acceptance Date

-

Published in Issue

Year 2016 Volume: 4 Number: 2

DOI

https://doi.org/10.36753/mathenot.421458

IZ

https://izlik.org/JA65UC67AD

APA

Bekiryazici, Z., Merdan, M., Kesemen, T., & Najmuldeen, M. (2016). Mathematical Modeling of Dengue Disease under Random Effects. Mathematical Sciences and Applications E-Notes, 4(2), 58-70. https://doi.org/10.36753/mathenot.421458

AMA

1.Bekiryazici Z, Merdan M, Kesemen T, Najmuldeen M. Mathematical Modeling of Dengue Disease under Random Effects. Math. Sci. Appl. E-Notes. 2016;4(2):58-70. doi:10.36753/mathenot.421458

Chicago

Bekiryazici, Zafer, Mehmet Merdan, Tülay Kesemen, and Mohammed Najmuldeen. 2016. “Mathematical Modeling of Dengue Disease under Random Effects”. Mathematical Sciences and Applications E-Notes 4 (2): 58-70. https://doi.org/10.36753/mathenot.421458.

EndNote

Bekiryazici Z, Merdan M, Kesemen T, Najmuldeen M (October 1, 2016) Mathematical Modeling of Dengue Disease under Random Effects. Mathematical Sciences and Applications E-Notes 4 2 58–70.

IEEE

[1]Z. Bekiryazici, M. Merdan, T. Kesemen, and M. Najmuldeen, “Mathematical Modeling of Dengue Disease under Random Effects”, Math. Sci. Appl. E-Notes, vol. 4, no. 2, pp. 58–70, Oct. 2016, doi: 10.36753/mathenot.421458.

ISNAD

Bekiryazici, Zafer - Merdan, Mehmet - Kesemen, Tülay - Najmuldeen, Mohammed. “Mathematical Modeling of Dengue Disease under Random Effects”. Mathematical Sciences and Applications E-Notes 4/2 (October 1, 2016): 58-70. https://doi.org/10.36753/mathenot.421458.

JAMA

1.Bekiryazici Z, Merdan M, Kesemen T, Najmuldeen M. Mathematical Modeling of Dengue Disease under Random Effects. Math. Sci. Appl. E-Notes. 2016;4:58–70.

MLA

Bekiryazici, Zafer, et al. “Mathematical Modeling of Dengue Disease under Random Effects”. Mathematical Sciences and Applications E-Notes, vol. 4, no. 2, Oct. 2016, pp. 58-70, doi:10.36753/mathenot.421458.

Vancouver

1.Zafer Bekiryazici, Mehmet Merdan, Tülay Kesemen, Mohammed Najmuldeen. Mathematical Modeling of Dengue Disease under Random Effects. Math. Sci. Appl. E-Notes. 2016 Oct. 1;4(2):58-70. doi:10.36753/mathenot.421458