Open AccessMathematics Model Development Deployment of Dengue Fever Diseases by Involve Human and Vectors Exposed Components
Author(s) -
Flaviana Priscilla Persulessy,
Paian Siantur,
Jaharuddin
Publication year - 2018
Publication title -
international journal of engineering and management research
Language(s) - English
Resource type - Journals
eISSN - 2394-6962
pISSN - 2250-0758
DOI - 10.31033/ijemr.8.4.5
Subject(s) - dengue fever , dengue virus , basic reproduction number , virology , equilibrium point , biology , aedes aegypti , virus , mathematics , ecology , medicine , environmental health , mathematical analysis , population , larva , differential equation
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 thespread 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.