(Hindawi, 2024-05) Musaili, J. S.; Chepkwony, I.; Mutuku, W. N.
Gumboro disease is a viral poultry disease that causes immune suppression on the infected birds leading to poor production,
mortality, and exposure to secondary infections, hence a major threat in the poultry industry worldwide. A mathematical
model of the transmission dynamics of Gumboro disease is developed in this paper having four compartments of chicken
population and one compartment of Gumboro pathogen population. The basic reproduction number Rog is derived, and the
dynamical behaviors of both the disease-free equilibrium (DFE) and endemic equilibrium are analyzed using the ordinary
differential equation theory. From the analysis, we found that the system exhibits an asymptotic stable DFE whenever Rog < 1
and an asymptotic stable EE whenever Rog > 1. The numerical simulation to verify the theoretical results was carried out using
MATLAB ode45 solver, and the results were found to be consistent with the theoretical findings.