Global Stability of Ebola Virus Disease Model with Contact Tracing and Quarantine

Authors

Chinwendu E. Madubueze, University of Agriculture, Nigeria
Anande R. Kimbir, University of Agriculture, Nigeria
Terhemen Aboiyar, University of Agriculture, Nigeria

Abstract

This study considers a deterministic model of Ebola Virus Disease (EVD) incorporating contact tracing and quarantine as interventions. The model analyze the existence and stability of Disease-Free Equilibrium (DFE) and Endemic Equilibrium (EE) states. The local stability of EE is established using centre manifold theorem. The global stability of the two equilibrium states are obtained by constructing the Lyapunov function. Numerical simulations are carried out to examine the impact of contact tracing and quarantine measures on the transmission dynamics of EVD. The result indicates that EVD could be eliminated faster when contact tracing and quarantine measures are implemented together.

Recommended Citation

Madubueze, Chinwendu E.; Kimbir, Anande R.; and Aboiyar, Terhemen (2018). Global Stability of Ebola Virus Disease Model with Contact Tracing and Quarantine, Applications and Applied Mathematics: An International Journal (AAM), Vol. 13, Iss. 1, Article 25.
Available at: https://digitalcommons.pvamu.edu/aam/vol13/iss1/25