Effect of Vaccination, Treatment and Population Area Size on the Transmission Dynamics of Bird-Flu Epidemics in a Proportiona,

Date

2007-01-06

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Department of Mathematics, Nasarawa State University Keffi

Abstract

We have examined the effect of vaccination, nnrl population nren size on the transmission dynamics oT bird flu epidemics in a poultry farm, using two class of models, an age -structured epidemic model and n homogeneous epidemics model in which the transmission rate in the ease of homogeneous model, is assumed not age-depended, while it is assumed age-dependent in the agc-struclurcd model. The per capital contact rate and the vital rates arc assumed not age depended. It is observed in both eases, that llic area size occupied by the population influences the rate of transmission of the virus. Wild birds, which arc normally on free range, arc observed to be responsible for the spread of the virus to poultry farms; however the transmission rate may be less than in poultry birds, due to their free range nature. This is not investigated this work. This is assumed to has helped to control the concentration of the wild birds population density in n particular location, where they arc found, and less per cnpilnl contact rale. Thus, the disease spread is minimal. Threshold parameters for both models arc examined to determine the stability of the non -trivial steady stales.

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Citation

Umar, M.A. (2007) Effect of Vaccination, Treatment and Population Area Size on the Transmission Dynamics of Bird-Flu Epidemics in a Proportiona,

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