Lyapunov stability analysis and optimization measures for a dengue disease transmission model
No Thumbnail Available
Date
2022-06
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier
Abstract
system of ordinary differential equations using dynamical system theory. Appropriate
Lyapunov functions are used to carry out an extensive investigation of the global asymptotic
dynamics of the model around the dengue-free and dengue-present equilibria. The
model is shown to exhibit a forward bifurcation phenomenon using Center Manifold
Theory. Sensitivity analysis is carried out to determine the relative importance of the
model parameters to the spread of the disease. Using optimal control theory, the model
is further extended to a nonlinear optimal control model to explore the impact of four
time-dependent control variables, namely, personal protection, treatment drug therapy
for latently infected individuals, treatment control for symptomatic individuals and
insecticide control for mosquito reduction, on dengue disease dynamics in a population.
Cost-effectiveness analysis is conducted on various strategies with combinations of at
least three optimal controls to determine the least costly and most effective strategy
that can be implemented to contain the spread of dengue in a population.
Description
This article is published by Elsevier 2022 and is also available at https://doi.org/10.1016/j.physa.2022.127646
Keywords
Citation
Physica A 602 (2022) 127646