Global Stability of Equilibrium Points of Typhoid Fever Model with Protection
Journal of Advances in Mathematics and Computer Science · pp. 1–6 · Published 12 Apr 2017
10.9734/BJMCS/2017/32690Abstract
A non-linear mathematical model of typhoid fever diseases 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.
References (5)
- 1 The Mathematics of Infectious Diseases [DOI]
- 2 Lyapunov functions and global stability for SIR, SIRS, and SIS epidemiological models [DOI]
- 3 Vaccination against typhoid fever: present status.
- 4 Mathematical Modelling of Typhoid Fever Disease Incorporating Protection against Infection [DOI]
- 5 Feedback systems: an introduction for scientists and engineers [DOI]
Cited by 6
Agnes Adom-Konadu, Ernest Yankson, Samuel M. Naandam · Journal of Mathematics · 2022
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Showing 2 of 6 known citations — external sources report more than can currently be individually listed.
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