Global stability of equilibrium points of typhoid fever model with protection
Date
2017
Authors
Nthiiri, Joyce Kagendo
Journal Title
Journal ISSN
Volume Title
Publisher
Strathmore University
Abstract
A non-linear Mathematical model of typhoid fever disease incorporating protection is hereby considered to study the global stability of equilibrium points. To study the global stability of the disease free equilibrium point and endemic equilibrium point, the method by Castillo- Chavez and a suitable Lyapunov function are used respectively. The disease free equilibrium point was found not to be globally asymptotically stable while the endemic equilibrium point is globally asymptotically stable. This implies that the disease transmission can be kept quiet low or manageable with minimal deaths in the presence of protection.
Description
Paper presented at the 4th Strathmore International Mathematics Conference (SIMC 2017), 19 - 23 June 2017, Strathmore University, Nairobi, Kenya.
Keywords
Global stability, Equilibrium points, Typhoid fever model