TY - GEN

T1 - Mathematical assessment on the effect of hospitalization in dengue intervention

AU - Nawawi, J.

AU - Aldila, D.

N1 - Publisher Copyright:
© 2020 Author(s).

PY - 2020/6/1

Y1 - 2020/6/1

N2 - This paper discussed SIR-UV model of dengue spread considering the effect of hospitalization which involves human and mosquito compartments, and then this model will be simplified by using Quasi-Steady State Approximation (QSSA). In this model, there will be two types of equilibrium points, and they are Diseases-Free Equilibrium and Endemic Equilibrium. Basic reproduction number will also obtain from this model, which is the threshold whether the diseases is said to be endemic or not in the population. In addition, sensitivity analysis of the basic reproduction number will also be obtained, as well as simulation of the model for each case that describes the behavior and stability around the equilibrium point. Our numerical results on the sensitivity of the basic reproduction number and the autonomous simulation indicate the success of hospitalization to prevent dengue should consider the level of hygiene of the hospital. The more hygienic the hospital, the higher the possibility that hospitalization success to prevent dengue spread.

AB - This paper discussed SIR-UV model of dengue spread considering the effect of hospitalization which involves human and mosquito compartments, and then this model will be simplified by using Quasi-Steady State Approximation (QSSA). In this model, there will be two types of equilibrium points, and they are Diseases-Free Equilibrium and Endemic Equilibrium. Basic reproduction number will also obtain from this model, which is the threshold whether the diseases is said to be endemic or not in the population. In addition, sensitivity analysis of the basic reproduction number will also be obtained, as well as simulation of the model for each case that describes the behavior and stability around the equilibrium point. Our numerical results on the sensitivity of the basic reproduction number and the autonomous simulation indicate the success of hospitalization to prevent dengue should consider the level of hygiene of the hospital. The more hygienic the hospital, the higher the possibility that hospitalization success to prevent dengue spread.

KW - basic reproduction number

KW - Dengue

KW - equilibrium

KW - quasi-steady state approximation

UR - http://www.scopus.com/inward/record.url?scp=85086657658&partnerID=8YFLogxK

U2 - 10.1063/5.0012142

DO - 10.1063/5.0012142

M3 - Conference contribution

AN - SCOPUS:85086657658

T3 - AIP Conference Proceedings

BT - Proceedings of the 5th International Symposium on Current Progress in Mathematics and Sciences, ISCPMS 2019

A2 - Mart, Terry

A2 - Triyono, Djoko

A2 - Ivandini, Tribidasari Anggraningrum

PB - American Institute of Physics Inc.

T2 - 5th International Symposium on Current Progress in Mathematics and Sciences, ISCPMS 2019

Y2 - 9 July 2019 through 10 July 2019

ER -