TY - JOUR
T1 - Mathematical modeling and simulation of SEIR model for COVID-19 outbreak
T2 - A case study of Trivandrum
AU - Aakash, M.
AU - Gunasundari, C.
AU - Al-Mdallal, Qasem M.
N1 - Publisher Copyright:
Copyright © 2023 M, C and Al-Mdallal.
PY - 2023
Y1 - 2023
N2 - In this study, we formulated a mathematical model of COVID-19 with the effects of partially and fully vaccinated individuals. Here, the purpose of this study is to solve the model using some numerical methods. It is complex to solve four equations of the SEIR model, so we introduce the Euler and the fourth-order Runge–Kutta method to solve the model. These two methods are efficient and practically well suited for solving initial value problems. Therefore, we formulated a simple nonlinear SEIR model with the incorporation of partially and fully vaccinated parameters. Then, we try to solve our model by transforming our equations into the Euler and Runge–Kutta methods. Here, we not only study the comparison of these two methods, also found out the differences in solutions between the two methods. Furthermore, to make our model more realistic, we considered the capital of Kerala, Trivandrum city for the simulation. We used MATLAB software for simulation purpose. At last, we discuss the numerical comparison between these two methods with real world data.
AB - In this study, we formulated a mathematical model of COVID-19 with the effects of partially and fully vaccinated individuals. Here, the purpose of this study is to solve the model using some numerical methods. It is complex to solve four equations of the SEIR model, so we introduce the Euler and the fourth-order Runge–Kutta method to solve the model. These two methods are efficient and practically well suited for solving initial value problems. Therefore, we formulated a simple nonlinear SEIR model with the incorporation of partially and fully vaccinated parameters. Then, we try to solve our model by transforming our equations into the Euler and Runge–Kutta methods. Here, we not only study the comparison of these two methods, also found out the differences in solutions between the two methods. Furthermore, to make our model more realistic, we considered the capital of Kerala, Trivandrum city for the simulation. We used MATLAB software for simulation purpose. At last, we discuss the numerical comparison between these two methods with real world data.
KW - COVID-19
KW - Euler method
KW - mathematical model
KW - numerical simulation
KW - Runge Kutta method
KW - Trivandrum
UR - http://www.scopus.com/inward/record.url?scp=85149595244&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85149595244&partnerID=8YFLogxK
U2 - 10.3389/fams.2023.1124897
DO - 10.3389/fams.2023.1124897
M3 - Article
AN - SCOPUS:85149595244
SN - 2297-4687
VL - 9
JO - Frontiers in Applied Mathematics and Statistics
JF - Frontiers in Applied Mathematics and Statistics
M1 - 1124897
ER -