Mathematics Model Development Deployment of Dengue Fever Diseases by Involve Human and Vectors Exposed Components

  • Flaviana Priscilla Persulessy
  • Paian Siantur
  • Jaharuddin
Keywords: Basic Reproduction Number, Dengue Fever, Mathematical Model, Sensitivity Analysis

Abstract

Dengue virus is one of virus that cause deadly disease was dengue fever. This virus was transmitted through bite of Aedes aegypti female mosquitoes that gain virus infected by taking food from infected human blood, then mosquitoes transmited pathogen to susceptible humans. Suppressed the spread and growth of dengue fever was important to avoid and prevent  the increase of dengue virus sufferer and casualties. This problem can be solved with studied important factors that affected the spread and equity of disease by sensitivity index. The purpose of this research were to modify mathematical model the spread of dengue fever be SEIRS-ASEI type, to determine of equilibrium point, to determined of basic reproduction number, stability analysis of equilibrium point, calculated sensitivity index,  to analyze sensitivity, and to simulate  numerical on modification model. Analysis of model obtained disease free equilibrium (DFE) point and endemic equilibrium point. The numerical simulation result had showed that DFE, stable if the basic reproduction number is less than one and endemic equilibrium point was  stable if the basic reproduction number is more than one.

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Published
2018-08-31
How to Cite
Flaviana Priscilla Persulessy, Paian Siantur, & Jaharuddin. (2018). Mathematics Model Development Deployment of Dengue Fever Diseases by Involve Human and Vectors Exposed Components. International Journal of Engineering and Management Research, 8(4), 46-53. https://doi.org/10.31033/ijemr.8.4.5