Analisis Sensitivitas Pada Model Matematika Penyebaran Penyakit Demam Dengue dengan Laju Insidensi NonLinier

  • I Putu Winada Gautama
  • Ni Kadek Nova Anggarani
  • I Made Eka Dwipayana
  • Putu Veri Swastika
DOI: https://doi.org/10.24843/JMAT.2022.v12.i02.p155

Abstract

Abstract: Dengue fever is a disease that can be fatal if not treated seriously. This disease is transmitted to humans through the Aedes Aegypti mosquito. Mathematical modeling is a tool used to understand the dynamics of dengue fever. Incomplete data creates uncertainty in the parameter values of the mathematical model. Uncertainty analysis to determine these parameters using sensitivity analysis. This study found that the bite rate of susceptible and infected mosquitoes  and the mosquito death rate  have a large influence on changes in the value of . Human recovery rate (r), mosquito mortality rate , and human mortality rate  have a major influence on infected human individuals . The bite rate of susceptible and infected mosquitoes  has the most positive influence on the number of infected mosquitoes . The mortality rate of  mosquitoes had the most negative relationship with the number of mosquitoes infected with . Numerical simulations are carried out to determine the dynamics that occur when parameter values are increased or decreased.


Keywords: Sensitivity Analysis, Dengue Fever, Mathematical Modeling


 

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Published
2022-12-30
How to Cite
GAUTAMA, I Putu Winada et al. Analisis Sensitivitas Pada Model Matematika Penyebaran Penyakit Demam Dengue dengan Laju Insidensi NonLinier. Jurnal Matematika, [S.l.], v. 12, n. 2, p. 127-143, dec. 2022. ISSN 2655-0016. Available at: <https://ojs.unud.ac.id/index.php/jmat/article/view/106906>. Date accessed: 22 nov. 2024. doi: https://doi.org/10.24843/JMAT.2022.v12.i02.p155.
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Issue
Vol 12 No 2 (2022)
Section
Articles
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This work is licensed under a Creative Commons Attribution 4.0 International License.