Journal of Modern Mathematics and Statistics
ISSN: OnlineISSN: Print 1994-5388
Abstract
In this study, the researchers present the mathematical model of the impact of vaccination on the transmission dynamics of fowl pox in poultry. The model resulted in a system of 1st order ordinary differential equation. Analyzing the system using methods from dynamical system theory together with Routh-Harwitz theorem, it was established that the disease-free equilibrium is locally stable if the effective reproductive ratio Rρ = (1 - ρ) αβ/d1+r1+μ in the presence of vaccination is <1 and unstable if it is >1. Using the condition for control, the critical proportion that needs to be vaccinated to achieve herd immunity for fowl pox is established as ρc = αβ - (d1+r1+μ)/αβ. From this research, researchers discover that fowl pox can be eradicated from the poultry through vaccination provided the critical proportion ρc is achieved.
How to cite this article:
Udofia Ekere Sunday and Inyama Simeon Chioma. Mathematical Model of the Impact of Vaccination on the Transmission Dynamics of Fowl pox in Poultry.
DOI: https://doi.org/10.36478/jmmstat.2011.102.105
URL: https://www.makhillpublications.co/view-article/1994-5388/jmmstat.2011.102.105