Global Stability Analysis of Dengue Model with Awareness, Vector Control and Time Delays

Authors

Jay Michael R. Macalalag, Caraga State University
Timothy Robin Y. Teng, Ateneo de Manila UniversityFollow
Elvira P. De Lara-Tuprio, Ateneo de Manila UniversityFollow

Document Type

Book

Publication Date

9-18-2021

Abstract

In this paper; a mathematical model for a single-strain dengue virus transmission; incorporating vector control; disease awareness among susceptible humans; and both the latent delays for human and mosquitoes; is proposed and studied. The global stability properties of disease-free equilibrium and endemic equilibrium are completely established through Lyapunov functionals and LaSalle's invariance principle. The global dynamics of the equilibrium points are characterized by the value of basic reproductive number R₀ . The disease-free equilibrium is globally asymptotically stable if R₀ < 1 ; and is unstable if R₀ > 1 . Furthermore; the endemic equilibrium is globally asymptotically stable if R₀>1 . Numerical simulations are presented to illustrate the theoretical results.

Recommended Citation

Macalalag, J. M. R., Teng, T. R. Y., & de Lara-Tuprio, E. P. (2021). Global stability analysis of dengue model with awareness, vector control and time delays. In S. A. Abdul Karim & A. Shafie (Eds.), Towards Intelligent Systems Modeling and Simulation: With Applications to Energy, Epidemiology and Risk Assessment (pp. 177–195). Springer International Publishing. https://doi.org/10.1007/978-3-030-79606-8_14