TY - JOUR
T1 - Global Stability of an SIR Model Characterized by Vaccination and Treatment
AU - Shailaja , G.
AU - Srinivas , M. A.
JO - Journal of Nonlinear Modeling and Analysis
VL - 4
SP - 1046
EP - 1063
PY - 2024
DA - 2024/12
SN - 6
DO - http://doi.org/10.12150/jnma.2024.1046
UR - https://global-sci.org/intro/article_detail/jnma/23671.html
KW - Infectious disease model, vaccination and treatment, Lyapunov
function, equilibrium, global stability.
AB - <p style="text-align: justify;">The global dynamics of a SIR model characterized by both vaccination and treatment are considered in the present paper. Global stability
ensures convergence to an equilibrium solution irrespective of the initial state
of infection. Various independent sets of sufficient conditions on parameters
and functional relations are obtained through Lyapunov functionals for stability. It is also established how a disease-free environment can be provided by
a proper combination of treatment and vaccination, which is a unique feature
as far as SIR models are concerned, as many of the studies have ignored the
influence of treatment. Results are illustrated with numerical examples and
simulations are provided to visualize the illustrations.</p>