TY - JOUR
T1 - An epidemiological model for analysing pandemic trends of novel coronavirus transmission with optimal control
AU - Khan, Tahir
AU - Rihan, Fathalla A.
AU - Al-Mdallal, Qasem M.
N1 - Publisher Copyright:
© 2023 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group.
PY - 2024
Y1 - 2024
N2 - Symptomatic and asymptomatic individuals play a significant role in the transmission dynamics of novel Coronaviruses. By considering the dynamical behaviour of symptomatic and asymptomatic individuals, this study examines the temporal dynamics and optimal control of Coronavirus disease propagation using an epidemiological model. Biologically and mathematically, the well-posed epidemic problem is examined, as well as the threshold quantity with parameter sensitivity. Model parameters are quantified and their relative impact on the disease is evaluated. Additionally, the steady states are investigated to determine the model's stability and bifurcation. Using the dynamics and parameters sensitivity, we then introduce optimal control strategies for the elimination of the disease. Using real disease data, numerical simulations and model validation are performed to support theoretical findings and show the effects of control strategies.
AB - Symptomatic and asymptomatic individuals play a significant role in the transmission dynamics of novel Coronaviruses. By considering the dynamical behaviour of symptomatic and asymptomatic individuals, this study examines the temporal dynamics and optimal control of Coronavirus disease propagation using an epidemiological model. Biologically and mathematically, the well-posed epidemic problem is examined, as well as the threshold quantity with parameter sensitivity. Model parameters are quantified and their relative impact on the disease is evaluated. Additionally, the steady states are investigated to determine the model's stability and bifurcation. Using the dynamics and parameters sensitivity, we then introduce optimal control strategies for the elimination of the disease. Using real disease data, numerical simulations and model validation are performed to support theoretical findings and show the effects of control strategies.
KW - Epidemiological model
KW - SARS-CoV-2 virus
KW - backward bifurcation
KW - centre manifold theory
KW - numerical simulations
KW - optimal control
KW - sensitivity
KW - steady states
UR - https://www.scopus.com/pages/publications/85181414911
UR - https://www.scopus.com/pages/publications/85181414911#tab=citedBy
U2 - 10.1080/17513758.2023.2299001
DO - 10.1080/17513758.2023.2299001
M3 - Article
C2 - 38156669
AN - SCOPUS:85181414911
SN - 1751-3758
VL - 18
JO - Journal of Biological Dynamics
JF - Journal of Biological Dynamics
IS - 1
M1 - 2299001
ER -