Journal of Applied Sciences and Environmental Management
World Bank assisted National Agricultural Research Project (NARP) - University of Port Harcourt
Vol. 22, No. 4, 2018, pp. 571-576
Bioline Code: ja18100
Full paper language: English
Document type: Research Article
Document available free of charge
Journal of Applied Sciences and Environmental Management, Vol. 22, No. 4, 2018, pp. 571-576
© Copyright 2018 - Peter et al.
Mathematical Model for the Control of measles|
PETER, OJ; AFOLABI, OA; VICTOR, AA; AKPAN, CE & OGUNTOLU, FA
We proposed a mathematical model of measles disease dynamics with vaccination by considering the
total number of recovered individuals either from natural recovery or recovery due to vaccination. We tested for the
existence and uniqueness of solution for the model using the Lipchitz condition to ascertain the efficacy of the model and
proceeded to determine both the disease free equilibrium (DFE) and the endemic equilibrium (EE) for the system of the
equations and vaccination reproduction number are given. Numerical simulation of the model shows that vaccination is
capable of reducing the number of exposed and infectious population.
Measles; Vaccination; Equilibrium States; Basic Reproduction Number.