TY - GEN
T1 - Modelling the spread of diabetes transmission through social contact
AU - Kompas, Stefany
AU - Aldila, Dipo
AU - Handari, Bevina D.
N1 - Funding Information:
We thank every reviewer for their valuable comments and suggestion. This research is funded by Universitas Indonesia, with PUTI Posiding research grant scheme, 2020 (ID Number: NKB-982/UN2.RST/HKP.05.00/2020).
Publisher Copyright:
© 2020 American Institute of Physics Inc.. All rights reserved.
Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2020/11/16
Y1 - 2020/11/16
N2 - Diabetes Mellitus is a non-communicable, incurable, and deadly disease. Most people with Type 2 Diabetes Mellitus (Type 2 DM) suffer because it makes them more vulnerable to complications with other diseases. This is because the main factors besides heredity (genetic) are obesity and an unhealthy lifestyle. Although Type 2 DM is incurable, patients with Type 2 DM can reduce the risk of complications and can survive longer if patients receive routine treatment. Here, we introduce a compartmental SlShEIT model used to understand the spread of Diabetes through social contact. Analytical results conducted to determine the nature of the positivity and limitations of the model. Furthermore, we also identify and analyze the equilibrium points, identify the basic reproduction number (R0), and analyze the stability of the endemic equilibrium using the Castillo-Chaves and Song Theorem. Some numerical results discussed at the end of this article shows how our model could help understand the behavior of Diabetes Mellitus, especially when we should consider the different risks among susceptible individuals.
AB - Diabetes Mellitus is a non-communicable, incurable, and deadly disease. Most people with Type 2 Diabetes Mellitus (Type 2 DM) suffer because it makes them more vulnerable to complications with other diseases. This is because the main factors besides heredity (genetic) are obesity and an unhealthy lifestyle. Although Type 2 DM is incurable, patients with Type 2 DM can reduce the risk of complications and can survive longer if patients receive routine treatment. Here, we introduce a compartmental SlShEIT model used to understand the spread of Diabetes through social contact. Analytical results conducted to determine the nature of the positivity and limitations of the model. Furthermore, we also identify and analyze the equilibrium points, identify the basic reproduction number (R0), and analyze the stability of the endemic equilibrium using the Castillo-Chaves and Song Theorem. Some numerical results discussed at the end of this article shows how our model could help understand the behavior of Diabetes Mellitus, especially when we should consider the different risks among susceptible individuals.
UR - http://www.scopus.com/inward/record.url?scp=85096692793&partnerID=8YFLogxK
U2 - 10.1063/5.0030458
DO - 10.1063/5.0030458
M3 - Conference contribution
AN - SCOPUS:85096692793
T3 - AIP Conference Proceedings
BT - International Conference on Science and Applied Science, ICSAS 2020
A2 - Purnama, Budi
A2 - Nugraha, Dewanta Arya
A2 - Anwar, Fuad
PB - American Institute of Physics Inc.
T2 - 2020 International Conference on Science and Applied Science, ICSAS 2020
Y2 - 7 July 2020
ER -