Open AccessStability Analysis on the Spread of the Ebola Virus Considering Changes in Human Behavior and Climate (Case Study: Democratic Republic of the Congo)
Author(s) -
S. Sitti Rosnafian,
Mardlijah Mardlijah,
Hariyanto Hariyanto
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1373/1/012043
Subject(s) - democracy , uniqueness , ebola virus , stability (learning theory) , econometrics , virology , mathematics , virus , computer science , political science , biology , law , mathematical analysis , machine learning , politics
In this paper construction of the SEIR (Susceptible-Exposed-Infected-Recovery) type mathematical model consider account the influence of changes in human behavior and climate in the Democratic Republic of the Congo (DR Congo) in the form of differential equations to describe the spread of the Ebola virus. The relationship between climate and behavior change is represented in the form of parameters (α). The constructed system is then validated with existence and uniqueness. Furthermore, an analysis of the spread of the virus was carried out with stability analysis. Based on the results of stability analysis, the system around the endemic equilibrium point is unstable. In the final stage a simulation was carried out to obtain a visual picture of the spread of the Ebola virus in DR Congo.