TY - JOUR
T1 - Modelling the spread of atherosclerosis considering relapse and linear treatment
AU - Islamilova, A.
AU - Aldila, D.
AU - Giyarti, W.
AU - Tasman, H.
N1 - Funding Information:
This research is financially supported by the Ministry of Research, Technology and Higher Education of the Republic of Indonesia (Kemenristek DIKTI) with the PDUPT research grant scheme 2020 (ID Number : NKB-2804/UN2.RST/HKP.05.00/2020).
Publisher Copyright:
© 2021 Institute of Physics Publishing. All rights reserved.
Copyright:
Copyright 2021 Elsevier B.V., All rights reserved.
PY - 2021/1/7
Y1 - 2021/1/7
N2 - Atherosclerosis is a narrowing of the arteries due to a build-up of plaque in the artery walls. One of the reasons for the spread of atherosclerosis is the widespread of improper lifestyle in a population because of the tendency to follow the improper lifestyle of people in the surrounding environment. Atherosclerosis can cause complications such as heart disease, stroke, etc. This study aims to construct a model for the spread of atherosclerosis among human population by considering relapse and linear treatment rates. The model was then analyzed analytically and numerically. Analytical study reveals the existence and local stability criteria of the equilibrium points, determine the basic reproduction numbers and investigate the existence of bifurcations of the constructed model using the center-manifold theorem. Some numerical simulations were conducted for some possible prevention scenarios in the field.
AB - Atherosclerosis is a narrowing of the arteries due to a build-up of plaque in the artery walls. One of the reasons for the spread of atherosclerosis is the widespread of improper lifestyle in a population because of the tendency to follow the improper lifestyle of people in the surrounding environment. Atherosclerosis can cause complications such as heart disease, stroke, etc. This study aims to construct a model for the spread of atherosclerosis among human population by considering relapse and linear treatment rates. The model was then analyzed analytically and numerically. Analytical study reveals the existence and local stability criteria of the equilibrium points, determine the basic reproduction numbers and investigate the existence of bifurcations of the constructed model using the center-manifold theorem. Some numerical simulations were conducted for some possible prevention scenarios in the field.
UR - http://www.scopus.com/inward/record.url?scp=85100781585&partnerID=8YFLogxK
U2 - 10.1088/1742-6596/1722/1/012039
DO - 10.1088/1742-6596/1722/1/012039
M3 - Conference article
AN - SCOPUS:85100781585
SN - 1742-6588
VL - 1722
JO - Journal of Physics: Conference Series
JF - Journal of Physics: Conference Series
IS - 1
M1 - 012039
T2 - 10th International Conference and Workshop on High Dimensional Data Analysis, ICW-HDDA 2020
Y2 - 12 October 2020 through 15 October 2020
ER -
