Mathematical model for H1N1 human to human transmission In Brong Ahafo Region

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2015-11-09
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Abstract
In this work, SEIR model for H1N1 human transmission in Brong Ahafo Region of Ghana is formulated. The method of solution proves that the model possess positive solution. The basic reproduction number and the stability analysis of the disease free equilibrium and endemic states is carried out. The sensitivity analysis and the herd immunity of the model is also established. Numerical simulation of the model is carried out to show the results and represented graphically. The re- sult indicates that by increasing the transmission rate , the disease will spread but when the transmission rate is decreased the disease dies out. The results also indicate that %0.6 of the populate in Brong Ahafo needs to be vaccinated to control the disease in the region.
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A thesis submitted to the Department of Mathematics, Kwame Nkrumah University of Science and Technology in partial fulfillment of the requirement for the Degree of Master of Science in Applied Mathematics, 2015
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