TY - JOUR

T1 - Spreading dynamic of infectious disease in two interacting areas

AU - Kamiran,

AU - Widodo, Basuki

AU - Hariyanto,

AU - Asiyah, Nur

AU - Hakam, Amirul

N1 - Publisher Copyright:
© Published under licence by IOP Publishing Ltd.

PY - 2021/3/29

Y1 - 2021/3/29

N2 - The spread of infectious disease in a heterogeneous area can be grouped as a homogeneous group. The graph theory approach to analyze the spread of infectious disease in the group using a mathematical model. Heterogeneity in a population can be caused by many factors. Within a group can be divided into several homogeneous groups based on clusteritation, such as grouping the population based on age in the spread of infectious diseases. Population heterogeneity can be described as a network where each vertex represents a homogeneous group and an edge (j, i) exists if and only if the disease can be transmitted from group i to group j. The system of mathematical differential equations is formed based on the graph theory approach and the infectios disease distribution compartment diagram. Based on the numerical solution that we have obtained, the rate of change in the exposed population increases as the increasing of the disease transmission. And the rate of change in the infected population increases as the endemic appears.

AB - The spread of infectious disease in a heterogeneous area can be grouped as a homogeneous group. The graph theory approach to analyze the spread of infectious disease in the group using a mathematical model. Heterogeneity in a population can be caused by many factors. Within a group can be divided into several homogeneous groups based on clusteritation, such as grouping the population based on age in the spread of infectious diseases. Population heterogeneity can be described as a network where each vertex represents a homogeneous group and an edge (j, i) exists if and only if the disease can be transmitted from group i to group j. The system of mathematical differential equations is formed based on the graph theory approach and the infectios disease distribution compartment diagram. Based on the numerical solution that we have obtained, the rate of change in the exposed population increases as the increasing of the disease transmission. And the rate of change in the infected population increases as the endemic appears.

UR - http://www.scopus.com/inward/record.url?scp=85103907641&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/1821/1/012028

DO - 10.1088/1742-6596/1821/1/012028

M3 - Conference article

AN - SCOPUS:85103907641

SN - 1742-6588

VL - 1821

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

IS - 1

M1 - 012028

T2 - 6th International Conference on Mathematics: Pure, Applied and Computation, ICOMPAC 2020

Y2 - 24 October 2020

ER -