Mathematical Modeling of Dengue Disease under Random Effects

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Mathematical Sciences and Applications E-Notes
Volume:4 Issue:2
Mathematical Modeling of Dengue Disease under Random Effects

Mathematical Modeling of Dengue Disease under Random Effects

Authors : Zafer BEKİRYAZİCİ, Mehmet MERDAN, Tülay KESEMEN, Mohammed NAJMULDEEN

Pages : 58-70

Doi:10.36753/mathenot.421458

View : 28 | Download : 13

Publication Date : 2016-10-30

Article Type : Research Paper

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

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