Please use this identifier to cite or link to this item: http://repository.elizadeuniversity.edu.ng/jspui/handle/20.500.12398/950
Title: Mathematical Analysis Of Effect Of Area On The Dynamical Spread Of Measles
Authors: Adewale, S.O.
Mohammed, I.T.
Olopade, I.A.
Keywords: Measles,
Reproduction Number,
Equilibrium Point,
Habitat Area and
Stability.
Issue Date: Mar-2014
Publisher: IOSR Journal of Engineering
Abstract: This paper presents a robust compartmental mathematical model of (SVEIR) which incorporated area only. Where this area is the size of the environment where the study is being investigated. It shows that model has a disease free equilibrium which is globally asymptotically stable (GAS). There exists a unique endemic equilibrium point which is locally stable whenever the association threshold quantity (R0) exceeds unity i.e. R0 > 1. We solved the model numerically using Runge-kutta of order four (4). It is shown that as the area is increasing the total number of infected individual is decreasing. This implies that to reduce the spread of measles, measles patients are to be kept separately for treatment so as to reduce the effective contract rate. The results were presented graphically
Description: Staff Publication
URI: http://repository.elizadeuniversity.edu.ng/jspui/handle/20.500.12398/950
ISSN: 2250-3021
Appears in Collections:Research Articles

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