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.
Highlights
Dengue virus is a virus can causes death disease that is dengue fever
The virus is transmitted by the bite of female mosquitoes Aedes aegypti. that get viral infections by taking food from infected human blood, transmit the pathogen to susceptible humans
Many research models have been done on mathematical, to study the transmission of dengue fever and sensitivity analysis. [7] develop a SIR-ASI model to perform sensitivity analysis of dengue epidemic models. [3] gives a mathematical model dynamics transmission of dengue fever model epidemic SITR-ASI. [1] elaborated the SIR-MSI model describe the dynamics of dengue fever
Summary
Dengue virus is a virus can causes death disease that is dengue fever. The virus is transmitted by the bite of female mosquitoes Aedes aegypti. that get viral infections by taking food from infected human blood, transmit the pathogen to susceptible humans. There are four serotypes of the virus that cause dengue fever DEN1, DEN2, DEN3, and DEN4. Suppressing the spread and growth of dengue fever important thing to avoid and prevent the increase of sufferer and casualties. This can be done by study the important factors affects of the spread and even distribution of the disease through the sensitivity index. Many research models have been done on mathematical, to study the transmission of dengue fever and sensitivity analysis. [7] develop a SIR-ASI model to perform sensitivity analysis of dengue epidemic models. [3] gives a mathematical model dynamics transmission of dengue fever model epidemic SITR-ASI. [1] elaborated the SIR-MSI model describe the dynamics of dengue fever Many research models have been done on mathematical, to study the transmission of dengue fever and sensitivity analysis. [7] develop a SIR-ASI model to perform sensitivity analysis of dengue epidemic models. [3] gives a mathematical model dynamics transmission of dengue fever model epidemic SITR-ASI. [1] elaborated the SIR-MSI model describe the dynamics of dengue fever
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