Mathematical Modeling of Dengue Disease under Random Effects

Year 2016, Volume: 4 Issue: 2, 58 - 70, 30.10.2016

Zafer Bekiryazici , Mehmet Merdan , Tülay Kesemen , Mohammed Najmuldeen

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

Cited By: 1

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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