Title of article
Mathematical Model for the Control of measles
Author/Authors
peter, oj university of ilorin - department of mathematics, Ilorin, Nigeria , afolabi, oa university of ilorin - department of mathematics, Ilorin, Nigeria , victor, aa university of ilorin - department of mathematics, Ilorin, Nigeria , akpan, ce obong university - departmennt of computer science, Obong Ntak, Nigeria , oguntolu, fa federal university of technology - department of mathematics/statistics, Minna, Nigeria
From page
571
To page
576
Abstract
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.
Keywords
Measles , Vaccination , Equilibrium States , Basic Reproduction Number
Journal title
Journal of Applied Sciences and Environmental Management
Journal title
Journal of Applied Sciences and Environmental Management
Record number
2591322
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